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ECON20110 Fall 2013 - Lecture 16: Public Goods — Transcript

by Glen Weyl · 10,091 words · 1,814 segments · language en · Watch on YouTube

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  1. 0:01okay everybody um
  2. 0:03so
  3. 0:04uh competition policy which we talked
  4. 0:07about in the last lecture
  5. 0:09basically tries to stop firms from
  6. 0:12colluding with each other tries to stop
  7. 0:14them from internalizing the
  8. 0:16externalities across one another but
  9. 0:18just as often we want to promote this
  10. 0:20sort of collaboration between different
  11. 0:24individuals organizations to try to
  12. 0:26solve externality problems
  13. 0:30and in particular
  14. 0:32the most extreme form of this is when we
  15. 0:34have public projects that bring diffuse
  16. 0:37costs or benefit that are spread across
  17. 0:39societies
  18. 0:40in which individual voluntary initiative
  19. 0:43is insufficient
  20. 0:44so i'm going to start just to link it to
  21. 0:46our last lecture on competition policy
  22. 0:49by talking about cornea's collaboration
  23. 0:52problem which is sort of a duel to
  24. 0:55cornos competition problem but has the
  25. 0:56opposite implications
  26. 0:59and
  27. 1:00where in the cornea uh
  28. 1:03competition problem we found that as the
  29. 1:04number of people got large things
  30. 1:06started working very well in cornea's
  31. 1:08collaboration problems the number of
  32. 1:10people gets large things will work very
  33. 1:12poorly
  34. 1:14and we'll talk about the relationship of
  35. 1:16this to public goods problems
  36. 1:20and
  37. 1:21we'll talk about the definition of
  38. 1:23public goods and bads about private
  39. 1:25solutions
  40. 1:27to
  41. 1:28public goods problems and and the
  42. 1:29difficulties that they face
  43. 1:33and therefore why it's necessary to use
  44. 1:35coercion in public goods and bads
  45. 1:37problems
  46. 1:39and as an example of that we'll talk
  47. 1:40about eminent domain and the assembly of
  48. 1:42complementary goods
  49. 1:44and then we'll talk about given that
  50. 1:46coercion is necessary how we can go
  51. 1:48about deciding
  52. 1:50on uh whether to apply coercion in a
  53. 1:53given case or not
  54. 1:54and that will lead us into questions of
  55. 1:56voting and the flaws of standard voting
  56. 1:59procedures
  57. 2:01and
  58. 2:03this will be sort of a downer ending
  59. 2:05because we'll say that you know
  60. 2:07none of these voting procedures are a
  61. 2:08particularly good way to solve these
  62. 2:10problems and when we come back from
  63. 2:11break we'll talk about an alternative uh
  64. 2:14procedure that that might work better
  65. 2:16okay
  66. 2:17so corno uh was is one of my sort of
  67. 2:21heroes he came up both with the first
  68. 2:25model of monopoly and the first model of
  69. 2:28competition
  70. 2:29and he also came up with
  71. 2:31uh
  72. 2:32this model of collaboration
  73. 2:34between firms so um he imagined a case
  74. 2:38where there were n firms rather than
  75. 2:40producing products that were perfect
  76. 2:42substitutes for one another they were
  77. 2:43ones that were perfect complements we
  78. 2:45needed all of the things in order for
  79. 2:47the firm to in order for the product
  80. 2:50uh to be valuable
  81. 2:52uh a classic example of this is i don't
  82. 2:55know if you guys remember when the
  83. 2:56challenger crashed it was probably
  84. 2:57before most of you were born it was
  85. 2:59before most of you were born uh and
  86. 3:02um they found that the reason it had uh
  87. 3:07blown up was because there was a single
  88. 3:09o-ring that had failed o-ring is like
  89. 3:12something about this size
  90. 3:13and so because one o-ring had failed the
  91. 3:16whole thing blew apart right
  92. 3:18so that's what uh
  93. 3:21as a classic case of complementary goods
  94. 3:23things are only as good as the weakest
  95. 3:25link right
  96. 3:26and so um in this case
  97. 3:30uh the
  98. 3:32value of the good as a whole is really
  99. 3:35only the value if you get all of the
  100. 3:36pieces together
  101. 3:38which has a price which is the sum of
  102. 3:40the prices of the individual components
  103. 3:43and demand depends on this sum of prices
  104. 3:48now again for simplicity let's
  105. 3:50assume that each of these goods has
  106. 3:52constant marginal cost
  107. 3:55then
  108. 3:57the
  109. 3:58profits that each firm makes
  110. 4:00is going to be the price
  111. 4:03minus their cost times the quantity
  112. 4:05which depends on the sum of all the
  113. 4:06prices
  114. 4:07another way of representing that is that
  115. 4:09it's their markup price minus cost
  116. 4:13times quantity which depends on the sum
  117. 4:15of all the markups plus the sum of all
  118. 4:17the costs
  119. 4:20okay
  120. 4:21so um
  121. 4:22sue well
  122. 4:24what would be the optimal
  123. 4:27price for an individual firm
  124. 4:30to set
  125. 4:31uh if they were choosing their price in
  126. 4:32this market okay so you take it through
  127. 4:35zero yep
  128. 4:40to maybe do this one that one yeah for
  129. 4:44example um
  130. 4:45what's the optimal price
  131. 4:48you'd want markups well
  132. 4:50maybe you want to do it on the board
  133. 4:52yeah
  134. 4:53yeah
  135. 5:03okay so prophet is
  136. 5:10sorry
  137. 5:14quantity of
  138. 5:17n plus c so i'm listening some of the
  139. 5:19markers of c's that
  140. 5:21cost so
  141. 5:23i guess
  142. 5:24c is
  143. 5:26um
  144. 5:27c is a constant right okay and
  145. 5:31m depends on price so
  146. 5:33um
  147. 5:34well does that okay so how does that
  148. 5:36depend on price so m is the sum of
  149. 5:37everybody's minus c buys summed up so
  150. 5:40that's yeah um
  151. 5:43and let's say every firm takes all the
  152. 5:45other firms prices and therefore markups
  153. 5:47is given okay sure in which case it's um
  154. 5:50i guess it's like your price p i plus
  155. 5:52the sum of
  156. 5:54i don't know like j
  157. 5:57yeah
  158. 6:00u i minus
  159. 6:03c of n
  160. 6:14you're maximizing right okay so
  161. 6:16i mean because choosing your markups
  162. 6:18equivalent to choosing your price right
  163. 6:20right because
  164. 6:21right cost is
  165. 6:25so let's
  166. 6:35i'm just going to call this
  167. 6:36stuff yeah yeah
  168. 6:39that's great um so take the derivative
  169. 6:41of that it's right to p i it's n equals
  170. 6:43zero you have
  171. 6:44um
  172. 6:46one
  173. 6:50so you have a pi times this term yes i'm
  174. 6:53going to use a product
  175. 7:06is that that's i'm just like i do need
  176. 7:09to separate those things no no no can i
  177. 7:11just because you can just treat that
  178. 7:12whole first term
  179. 7:14as a term and you can use the product
  180. 7:16rule applied to that
  181. 7:18right so what's the derivative of first
  182. 7:19term with respect to pi um just
  183. 7:22just
  184. 7:24um
  185. 7:25just one yeah one times
  186. 7:46yeah
  187. 7:47times the derivative of the inside which
  188. 7:49is just one yeah
  189. 7:51times this term here yeah which is just
  190. 7:53the markup question
  191. 7:55so
  192. 7:56okay so now let's solve for the markup
  193. 7:58of i have to okay right so
  194. 8:01markup of i is equal to um
  195. 8:05so negative
  196. 8:08q
  197. 8:09di plus
  198. 8:17and i guess this is just this can just
  199. 8:19be written as m plus pi or m plus c
  200. 8:22would that just make more sense
  201. 8:33exactly
  202. 8:35nice work
  203. 8:37um
  204. 8:42okay and let's
  205. 8:45and remember that we can get capital m
  206. 8:47by just summing all these up right
  207. 8:49so capital m is then going to be equal
  208. 8:51to negative n times q over q prime
  209. 8:55right
  210. 8:59so note that this is exactly the
  211. 9:01opposite of the formula we got under
  212. 9:02competition
  213. 9:03under competition mi was going to be
  214. 9:06equal to
  215. 9:07capital q over n divided by q prime
  216. 9:10because
  217. 9:11because uh each q i was only one over n
  218. 9:14of the capital q
  219. 9:16here it's multiplied by n so rather than
  220. 9:19the markup diminishing as n increases
  221. 9:21the markup is going to increases and
  222. 9:23increases right
  223. 9:24so this is called the double
  224. 9:26marginalization or multi-marginalization
  225. 9:28problem and the more firms you have the
  226. 9:31more
  227. 9:33markup there is so the basic intuition
  228. 9:36here
  229. 9:37is that um the firms are all gonna
  230. 9:41take a cut right all of them are
  231. 9:43complementary products right each one is
  232. 9:46going to demand a markup on their chunk
  233. 9:49of the product and all those markups are
  234. 9:51going to
  235. 9:52stack up and multiply with the number of
  236. 9:54firms
  237. 9:55so let's consider a simple example
  238. 9:58imagine that capital q is equal to 1
  239. 10:00minus p this is our like linear demand
  240. 10:02example from before and ci was equal to
  241. 10:05zero
  242. 10:06okay tanner what is going to be q over q
  243. 10:09prime in this example well q is just one
  244. 10:12minus t yes
  245. 10:15which is negative one so times negative
  246. 10:18yeah so you guys have to make it long so
  247. 10:20so it's just
  248. 10:22one minus p negative one yeah yeah
  249. 10:25right
  250. 10:26um okay
  251. 10:28so
  252. 10:29uh so well what's then going to be the
  253. 10:30equilibrium price
  254. 10:32uh using your formula
  255. 10:35okay so
  256. 10:37p i minus
  257. 10:40so remember we said that if capital m is
  258. 10:42equal to n times this
  259. 10:44okay right and there's no cost
  260. 10:48okay so if capital m is equal to n
  261. 10:52maybe you can do it on the board again
  262. 10:53yeah it's probably gonna be the easiest
  263. 11:04um so capital m okay
  264. 11:07that's a or capital p which is equal to
  265. 11:09capital n because there's no cost right
  266. 11:11okay so capital p
  267. 11:20was it just n times one minus p yeah
  268. 11:22okay exactly so we're gonna
  269. 11:24solve out for p okay
  270. 11:28so um
  271. 11:37yep
  272. 11:53what that gives us
  273. 11:55is that the price is equal to n over n
  274. 11:57plus one
  275. 11:59so uh
  276. 12:01is dake here
  277. 12:04okay
  278. 12:05uh
  279. 12:06does somebody else want to tell me what
  280. 12:07the quantity is then
  281. 12:09yeah mike galvin um you substitute the
  282. 12:12thing that's well just derived into the
  283. 12:13equation above and you get one minus n
  284. 12:15over n plus one which and what's that uh
  285. 12:21just make a common denominator okay uh
  286. 12:25n plus one minus and so one over
  287. 12:30one over n plus one right yeah
  288. 12:32uh
  289. 12:34so what happens to this is the number of
  290. 12:36people gets larger so well
  291. 12:38it just goes to zero yeah exactly
  292. 12:42um
  293. 12:43and so eventually
  294. 12:45all these people
  295. 12:46taking their little cut
  296. 12:48kills the market by the death of a
  297. 12:50thousand cuts right uh
  298. 12:53the mark it's exactly the opposite um
  299. 12:57of the
  300. 12:59uh cournot
  301. 13:01compliments problem i mean the corner
  302. 13:03competition problem where the price went
  303. 13:04to the efficient level here price is
  304. 13:06going to the point where it destroys all
  305. 13:07demand
  306. 13:09right in fact the formulas are exactly
  307. 13:12the opposite right because
  308. 13:19remember that in corneau
  309. 13:21um
  310. 13:22competition i don't know if you guys
  311. 13:23remember but the price was the markup
  312. 13:26was equal to one over n plus one and the
  313. 13:28price and the quantity was equal to n
  314. 13:31over n plus one and how they're exactly
  315. 13:33the reverse uh for this demand at least
  316. 13:36in fact these two problems are exactly
  317. 13:37dual to one another and um i just want
  318. 13:40to try comparing that
  319. 13:42so um in the cornea quantity competition
  320. 13:45problem everyone takes each other's
  321. 13:47quantities as given and the price
  322. 13:49depended on the sum of all the
  323. 13:50quantities and profits were the product
  324. 13:53of markup and quantity
  325. 13:55under cornell's collaboration problem
  326. 13:57everyone takes each other's prices as
  327. 13:59given the quantity depends on the sum of
  328. 14:01the prices and the profits are the
  329. 14:04product of markup and quantity right so
  330. 14:05the problems are exactly identical
  331. 14:07except reversed
  332. 14:09um
  333. 14:10and uh therefore any result that's true
  334. 14:13in the cornea competition model is true
  335. 14:15here but reversed
  336. 14:17firms hurt each other by raising their
  337. 14:19price rather than bending rather than
  338. 14:21hurting each other by raising their
  339. 14:23quantity and therefore prices are going
  340. 14:25to be too high even from the perspective
  341. 14:27of the firms so if they could coordinate
  342. 14:29if they could
  343. 14:30collude if they could merge they would
  344. 14:32reduce the price and make everyone
  345. 14:34better off
  346. 14:36okay
  347. 14:37so
  348. 14:41mergers between firms producing
  349. 14:43complementary products which i think
  350. 14:45someone brought up in an earlier class
  351. 14:47is called
  352. 14:49a vertical merger
  353. 14:52and vertical mergers the reason they're
  354. 14:54called vertical is often
  355. 14:56one way that firms end up being
  356. 14:57complementary is one firm produces
  357. 14:59something that they sell to another firm
  358. 15:01they then do something with that and
  359. 15:03they sell it to another firm so they if
  360. 15:04you draw a diagram of it they're
  361. 15:06vertically related rather than
  362. 15:08horizontally competing with one another
  363. 15:10um and vertical mergers are usually not
  364. 15:13uh considered to be anti-competitive
  365. 15:16um in fact
  366. 15:17there's a
  367. 15:18reverse version of corneau's theorem
  368. 15:21that applies in this context that we've
  369. 15:23just sort of been going through and
  370. 15:24philip can you guess what that is um
  371. 15:27let's see as the number of
  372. 15:29uh
  373. 15:30we're producing perfect compliments
  374. 15:32tends to infinity uh quantity tends to
  375. 15:35zero yeah and the price tends to
  376. 15:36whatever price will get no one to buy
  377. 15:38the good absolutely
  378. 15:40yeah austin what's this like
  379. 15:44derivation
  380. 15:46so robert this was originally derived by
  381. 15:49corneau in 1838 but did robert burke use
  382. 15:52this to argue against competition policy
  383. 15:54at some point probably because every
  384. 15:56argument that there exists against
  385. 15:58competition policy robert burke has made
  386. 16:00at some point
  387. 16:01so
  388. 16:04driving forces against getting rid of
  389. 16:06like vertical integration wise
  390. 16:08uh yes i mean this is a classic chicago
  391. 16:11school argument and he was part of that
  392. 16:13broad camp so i would not be surprised
  393. 16:16but i don't know in particular
  394. 16:18um
  395. 16:21so markups become individually small but
  396. 16:24they collectively kill all demand
  397. 16:26because there's all these layers of
  398. 16:27monopoly um you can also think of this
  399. 16:30as being like a tragedy of the commons
  400. 16:32problem everyone wants their markup but
  401. 16:34they don't realize that in the process
  402. 16:36of getting their markup they're killing
  403. 16:37the market that's
  404. 16:39you know the goose that lays the golden
  405. 16:40egg right
  406. 16:42so
  407. 16:43let me relate this to an even more
  408. 16:45famous problem
  409. 16:46imagine that everyone can make costly
  410. 16:48contributions to a charity ai
  411. 16:51and the value that each person gets
  412. 16:53depends on the total amount of
  413. 16:54contributions that are made which is
  414. 16:56capital a which is the sum of ai and
  415. 16:58imagine each person's valuation
  416. 17:01vi prime
  417. 17:02uh
  418. 17:04is greater than zero
  419. 17:06so then each individual
  420. 17:10gets a value of this but the value of
  421. 17:12society is the sum of that
  422. 17:15and um imagine that everyone's the same
  423. 17:18the contribution
  424. 17:20that is going to bring
  425. 17:22total value of this only gives a value
  426. 17:25of this to each individual
  427. 17:26so if they're symmetric
  428. 17:28the individuals are going to solve v
  429. 17:31prime is equal to n whereas society
  430. 17:34would set v prime equal to 1.
  431. 17:36and v prime equal to n if v
  432. 17:38is concave is going to lead to much much
  433. 17:41much lower
  434. 17:43contributions towards the public good
  435. 17:45then would be socially optimal
  436. 17:48so this gives you basically the same
  437. 17:49result as corneau
  438. 17:51as n gets large you're going to be
  439. 17:53driven down to basically no provision of
  440. 17:55the good
  441. 17:56because everyone will free ride on other
  442. 17:58people
  443. 18:02their hope that other people will
  444. 18:03provide the good
  445. 18:05and so this is called the collective
  446. 18:07action problem in a large population
  447. 18:09with voluntary contributions
  448. 18:11public goods become arbitrarily
  449. 18:13underprovided
  450. 18:15so
  451. 18:15what exactly uh do we
  452. 18:18mean
  453. 18:19uh by a public good
  454. 18:21this was sort of an example of it but
  455. 18:24more broadly
  456. 18:26christian what's the definition of a
  457. 18:28public good more broadly
  458. 18:30um
  459. 18:33um so i probably won't be able to get a
  460. 18:35very precise yeah sorry but um
  461. 18:38isn't something that would be
  462. 18:40more like socially optimal for like a
  463. 18:42central government to produce because
  464. 18:44it's
  465. 18:45um generally a
  466. 18:48um non-rival
  467. 18:49what does that mean yeah um it means
  468. 18:52that you can't really exclude
  469. 18:54anyone from using it no that's not
  470. 18:56excludable wait but that's the other
  471. 18:58part yeah yeah
  472. 19:00and not right yes so yes that is the
  473. 19:02definition and non-rival means um that
  474. 19:05like my use of the product doesn't
  475. 19:06affect you exactly
  476. 19:08exactly
  477. 19:09so non-rival which i think is the most
  478. 19:11important part is that one person
  479. 19:12benefiting it from it does not preclude
  480. 19:14others from benefiting from it
  481. 19:16there's zero marginal cost of supplying
  482. 19:17it to other people
  483. 19:19non-excludable which is secondary but
  484. 19:21still important is that everyone
  485. 19:23receives the benefit regardless of
  486. 19:24whether they're willing to pay or not
  487. 19:26there's no way to exclude people or
  488. 19:27charge them for participation
  489. 19:30so examples failing the first condition
  490. 19:32are called congestible
  491. 19:34public goods
  492. 19:36and examples failing the second
  493. 19:37condition are called excludable public
  494. 19:39goods
  495. 19:40so
  496. 19:41intellectual property is actually a good
  497. 19:44example of an excludable public good
  498. 19:46because like if you create music for
  499. 19:48example there's really no marginal cost
  500. 19:50of other people listening to that music
  501. 19:52but it is often possible using copyright
  502. 19:55protections to exclude people from using
  503. 19:56it right
  504. 19:58now in reality exclusion can be more or
  505. 20:00less costly so
  506. 20:02in the internet age it's become more and
  507. 20:05more difficult to actually exclude
  508. 20:07people from using
  509. 20:09uh
  510. 20:11music right and eventually it may become
  511. 20:14a non-uh excludable good because it may
  512. 20:16become just too difficult to stop file
  513. 20:18sharing so um that's why i think
  514. 20:21non-rivalry is sort of the more
  515. 20:22fundamental condition
  516. 20:24however you know we had a whole lecture
  517. 20:26on ip right
  518. 20:27and we didn't call that stuff public
  519. 20:29goods and i think that the real reason
  520. 20:33the real thing that differentiates
  521. 20:34public goods from ip is ip is usually an
  522. 20:38example where we think that there is
  523. 20:41like a genius type person or some
  524. 20:43entrepreneur who has a vision about what
  525. 20:47needs to happen in the marketplace like
  526. 20:48you know uh bill gates or steve jobs
  527. 20:51with the iphone or whatever or there's
  528. 20:53some small group of people with this
  529. 20:55vision for the broader public whereas a
  530. 20:57public good is something where we think
  531. 20:58the information about whether it should
  532. 21:00be created or not or the most important
  533. 21:01information resides not with one
  534. 21:04individual but with the broader public
  535. 21:07and therefore it's important that we
  536. 21:08elicit that information from the public
  537. 21:11this resembles to some extent
  538. 21:13the distinction we were making between
  539. 21:15things that were driven by expertise and
  540. 21:17externalities and things that were
  541. 21:19driven more by diffuse information among
  542. 21:21the public and as we discussed almost
  543. 21:23everything is some mixture of these two
  544. 21:26and so these are really two categories
  545. 21:28into which we put things rather than a
  546. 21:30completely sharp dividing line
  547. 21:32okay but using the more traditional
  548. 21:34definition of public goods philip could
  549. 21:36you provide some examples of pure public
  550. 21:38goods
  551. 21:49yeah yeah those are good examples
  552. 21:51um environmental services like the air
  553. 21:54water
  554. 21:55weather
  555. 21:56you know climate change could affect the
  556. 21:58weather and that's sort of a pure public
  557. 22:00good the existence value of some goods
  558. 22:02charity
  559. 22:03um
  560. 22:05ideas often are very hard to exclude
  561. 22:07anyone from they just spread and uh
  562. 22:10everyone benefits from them
  563. 22:12um yeah austin so is ideas like basic
  564. 22:15like research yeah i think to a large
  565. 22:18extent basic research is basically a
  566. 22:19public good
  567. 22:21um
  568. 22:24uh
  569. 22:25i mean could you give an example of a
  570. 22:26congestable public good
  571. 22:29congestable is if it's non-violence it's
  572. 22:32non-exclusive you can't exclude people
  573. 22:35but more people using it does diminish
  574. 22:37its value
  575. 22:38um
  576. 22:41what bridge no
  577. 22:43is that big one
  578. 22:44yeah that i mean it depends whether
  579. 22:46you're able to like put guard posts on
  580. 22:48the bridge and charge people for getting
  581. 22:49onto it
  582. 22:51then you know
  583. 22:52yeah yeah
  584. 22:55so that's a good example
  585. 22:56amenities
  586. 23:00amenities like uh
  587. 23:02lakes parks
  588. 23:05things that are hard to keep people out
  589. 23:06of
  590. 23:07but
  591. 23:08which do get congested
  592. 23:11uh kim could you give an example of an
  593. 23:12excludable public good
  594. 23:16um
  595. 23:19uh yeah that's that's a good example
  596. 23:21another example
  597. 23:23would be um land reform so imagine i
  598. 23:27don't know if you guys know but you know
  599. 23:28in many developing countries
  600. 23:30at least during some periods there was a
  601. 23:33group of very wealthy people who owned a
  602. 23:35lot of land and they broke up the land
  603. 23:38and they gave it to the people who were
  604. 23:39tenants on that land
  605. 23:40now you could say that that's sort of
  606. 23:42like a public good because once you've
  607. 23:44broken up the land you might as well
  608. 23:45give it to all the people who are living
  609. 23:46on it because they know how to farm it
  610. 23:47better but of course you could exclude
  611. 23:49one of those people from that and like
  612. 23:51kick them off their land and so that
  613. 23:53that's sort of a excludable public good
  614. 23:56okay
  615. 23:57now um
  616. 23:59many uh yeah mike why are those lands
  617. 24:01not congestible
  618. 24:04well i mean the idea is that each late
  619. 24:06piece of land sort of belongs to someone
  620. 24:08who's been farming it for a long time so
  621. 24:10the value that it would give to anyone
  622. 24:12other than that person is very small
  623. 24:13okay
  624. 24:14that's sort of the idea okay that makes
  625. 24:16sense
  626. 24:16yeah christian i just i don't know
  627. 24:20an idea about the ideas does that yeah
  628. 24:22specify like specifically non-rival
  629. 24:25ideas or like the feel good ideas
  630. 24:26because i mean wouldn't there be a lot
  631. 24:28of ideas like that might give you an
  632. 24:29advantage in a market or some new method
  633. 24:31or something that's not covered by ip
  634. 24:34but
  635. 24:34yeah i mean but there are certainly
  636. 24:35ideas that go the opposite way where
  637. 24:37they're actually anti-rival
  638. 24:40right if everyone knows it then you yeah
  639. 24:42i mean like for example like most like a
  640. 24:45lot of pop culture is that way it
  641. 24:46depends whether you're a hipster or a
  642. 24:48preppy but if you're a preppy then then
  643. 24:50the more people who know the i you know
  644. 24:52the cultural idea the better and if
  645. 24:54you're a hipster it is rivalrous right
  646. 24:59uh you know the the famous uh
  647. 25:02do you guys know the famous joke about
  648. 25:04um
  649. 25:05why did the hipster burn his uh mouth
  650. 25:11because he tasted the soup before it was
  651. 25:12cool
  652. 25:18or how many hipsters does it take to
  653. 25:20screw in a light bulb
  654. 25:23anybody know
  655. 25:26it's a number you wouldn't have heard of
  656. 25:31um
  657. 25:34so
  658. 25:39many things
  659. 25:42many things rather than uh bringing
  660. 25:45diffuse harms
  661. 25:49rather than bringing different huge
  662. 25:50benefits people bring diffuse harms so a
  663. 25:53classic example of that is land takings
  664. 25:55so this is when the government comes in
  665. 25:57and they're going to build some like you
  666. 25:58know new uh
  667. 26:00shopping mall or bridge or public work
  668. 26:04and they need to take a bunch of land
  669. 26:06from people
  670. 26:07right in order to build that
  671. 26:09and
  672. 26:10it's only worth taking it if they can
  673. 26:12get the whole lot of land right because
  674. 26:14if they only get some subpart they're
  675. 26:16not really able to build the project or
  676. 26:17not one that says beneficial
  677. 26:20and so that's a public bad because
  678. 26:23either you take it from everyone or you
  679. 26:24take it from no one
  680. 26:26right so it either hurts all the people
  681. 26:28or none of them
  682. 26:30another example
  683. 26:32is
  684. 26:33corporate acquisitions if someone's
  685. 26:35coming to buy a corporation either
  686. 26:36everyone who currently owns the shares
  687. 26:38is going to lose their shares or nobody
  688. 26:40will because the person wants to have
  689. 26:41control over the whole company
  690. 26:43similarly if you make a settlement on a
  691. 26:45debt so
  692. 26:47where like you decide not to take the
  693. 26:49company into bankruptcy because
  694. 26:50someone's going to come and buy it out
  695. 26:52of bankruptcy well then everyone has to
  696. 26:54give up their claims on the company or
  697. 26:56nobody does right another example of
  698. 26:58this is that the federal communications
  699. 27:00commission has been trying to reassemble
  700. 27:02parts of the spectrum so that they can
  701. 27:04be repurposed to do ymax do you guys
  702. 27:06know what wimax is it's a system where
  703. 27:09you can blanket a whole city and wi-fi
  704. 27:11basically it's so like normal wi-fi is
  705. 27:13like a range of 30 feet this would have
  706. 27:15a range of like miles
  707. 27:16um and in order to do that you need to
  708. 27:19like clear out chunks of the
  709. 27:20electromagnetic spectrum which has been
  710. 27:21auctioned off to all these different
  711. 27:23people but you need like a coherent
  712. 27:24block and so you have to either get all
  713. 27:26of that or none of it right
  714. 27:28um yeah just a quick question fcc
  715. 27:31spectrum so when they auction off
  716. 27:32originally is that like a set period of
  717. 27:34time no it's it was an ad infinitum oh
  718. 27:36so that really sucks yeah
  719. 27:38or we're always like a 99 year lease or
  720. 27:40something like that you know which is
  721. 27:42very long relative to the length of the
  722. 27:44telecoms industry i mean after 99 years
  723. 27:46we might not even be using the
  724. 27:48electromagnetic spectrum anymore who
  725. 27:49knows right so
  726. 27:51are there any restrictions on water
  727. 27:56no i don't think there were many
  728. 27:57restrictions actually
  729. 27:59um
  730. 28:00so i i have a paper about this
  731. 28:03application in in particular
  732. 28:05um
  733. 28:07patent pools are another example of this
  734. 28:09so remember we talked about the
  735. 28:11multi-marginalization problem
  736. 28:13one case where i think that arises a lot
  737. 28:15in practice is when there's like some
  738. 28:17technology and there's a bunch of
  739. 28:19different patents that are necessary to
  740. 28:20make that technology work they're all
  741. 28:22complementary and people are really
  742. 28:24scared that like if they're all just
  743. 28:26licensing on their own it will like kill
  744. 28:28anyone's ability to use the technology
  745. 28:30because they're going to have to be
  746. 28:32negotiating with all these different
  747. 28:33people they're all going to take a cut
  748. 28:34the price is going to be way too hot so
  749. 28:36sometimes what they do is they build
  750. 28:37what's called a patent pool
  751. 28:39where they put all these things together
  752. 28:41and they label them all as what's called
  753. 28:44standard essential patents
  754. 28:46and that forces people to license them
  755. 28:49at what are called fair reasonable and
  756. 28:51non-discriminatory rates which makes it
  757. 28:54much easier to license all the things
  758. 28:56together to avoid the
  759. 28:57multi-marginalization problem but in
  760. 28:59order to do that you need to get all the
  761. 29:00technologies together which again
  762. 29:03is going to be one of these things
  763. 29:04that's going to take the tech the patent
  764. 29:06rights away from all the people
  765. 29:09polluting projects are another version
  766. 29:10of this where it'll hurt a few set of
  767. 29:13people right
  768. 29:15now fundamentally these aren't that
  769. 29:17different from externalities problems
  770. 29:18but there are cases where we think that
  771. 29:20the victim's knowledge
  772. 29:22about how costly it is to them might be
  773. 29:25really important so think about the
  774. 29:26example of land takings someone might
  775. 29:28know that this land is really valuable
  776. 29:29to them that this is where their
  777. 29:30grandparents grew up other
  778. 29:33people might just be you know a yuppie
  779. 29:35who's happy to take it as long as they
  780. 29:36get another uh spot right
  781. 29:39and so this again creates a collective
  782. 29:42action problem
  783. 29:43but now in this reverse case it's
  784. 29:45usually called the holdout problem
  785. 29:48and the idea is that everyone demands a
  786. 29:49large payment in order to accept the
  787. 29:52harm in the same way the free riders
  788. 29:54were making small payments because they
  789. 29:56didn't want to uh
  790. 29:58make a large contribution to the benefit
  791. 30:00right
  792. 30:00okay
  793. 30:02so
  794. 30:02um
  795. 30:03these problems are
  796. 30:05pervasive they show up in lots of areas
  797. 30:09of the economy
  798. 30:12and
  799. 30:13i'm going to argue that we need coercion
  800. 30:15in order to solve these problems in most
  801. 30:17cases
  802. 30:20but before we turn to that i want to
  803. 30:22consider some potential private
  804. 30:23solutions the most famous one is
  805. 30:25probably altruism people often just out
  806. 30:28of the goodness of their heart do public
  807. 30:30spirited things like giving to charity
  808. 30:32voting
  809. 30:33volunteering for military service
  810. 30:37and while people choose to do these
  811. 30:38things it's not motivated by classic
  812. 30:40self-interest
  813. 30:43culture plays an important role in
  814. 30:45encouraging these things
  815. 30:46people may want to do it in order to uh
  816. 30:49have the prestige like i think that
  817. 30:51plays an important role in many of the
  818. 30:52charitable foundations why rockefeller
  819. 30:54and vanderbilt gave stuff it also make
  820. 30:56can make you look good to you to a
  821. 30:58potential mate so if you're uh someone
  822. 31:02like bill gates who maybe uh had a hard
  823. 31:04time in his romantic relationships
  824. 31:07uh it could make you much more
  825. 31:09attractive if you're seen as being
  826. 31:11public spirited
  827. 31:15warm glow can be another important part
  828. 31:17of this so this is when people feel good
  829. 31:19about themselves for doing something
  830. 31:21right regardless of the actual effects
  831. 31:23that it has on society
  832. 31:25another thing is you might just be
  833. 31:27signaling you might be trying to show a
  834. 31:29potential employer that you're an honest
  835. 31:31person who cares about society and not
  836. 31:32someone who's just going to steal from
  837. 31:34the company right and while i think
  838. 31:36there's no import question that these
  839. 31:38things are important and help
  840. 31:41i also think that they often require a
  841. 31:43slow development of culture in order to
  842. 31:46embed these values in people and they're
  843. 31:48not don't do a very good job responding
  844. 31:51to exactly in a particular circumstance
  845. 31:54how much people
  846. 31:56value something because if they're all
  847. 31:58relying on inside of an individual's
  848. 32:01head how much do they think uh other
  849. 32:03people will respond to this yeah rishi
  850. 32:05generally when you
  851. 32:06try to work altruism into into a model
  852. 32:12well i think that those are usually the
  853. 32:14least compelling ways of doing it i
  854. 32:15think the more compelling ways of doing
  855. 32:17it are thinking about things like these
  856. 32:19where like you might be altruistic but
  857. 32:22it's sort of motivated by something else
  858. 32:24or those tend to be the most interesting
  859. 32:26models i find but yeah sometimes you do
  860. 32:28put it straight into the utility
  861. 32:29function
  862. 32:30uh yeah bart um
  863. 32:32so for a lot of these those examples
  864. 32:34like are essentially self-interest
  865. 32:37so like the slow development
  866. 32:39the culture towards like putting these
  867. 32:42sort of behaviors yeah isn't that also
  868. 32:44like somewhat perverse
  869. 32:46like you're encouraging attitudes that
  870. 32:49might not
  871. 32:50be great
  872. 32:52well i mean
  873. 32:53culture
  874. 32:55can be useful to overcome some of these
  875. 32:57problems
  876. 33:00it also can be perverse i mean so for
  877. 33:02example like around environmental issues
  878. 33:05there has developed this view that you
  879. 33:08really should by all this green stuff
  880. 33:10but if you look at all the green stuff
  881. 33:12almost all of it like nobody would be
  882. 33:14buying it under the optimal carbon tax
  883. 33:16because it's actually like way too
  884. 33:18expensive and like most of the stuff
  885. 33:19that people would actually be doing
  886. 33:20under the optimal carbon tax would be
  887. 33:23like very minor changes that are
  888. 33:25extremely not costly to people and that
  889. 33:28would account for most of the carbon
  890. 33:29mitigation so this stuff can easily go
  891. 33:31overboard right because in order to like
  892. 33:33get the public spirit going so it can so
  893. 33:36i actually think that you know the
  894. 33:38problem with a lot of these cultural
  895. 33:40ways of solving these problems is
  896. 33:42they're just not like very
  897. 33:45accurate at conveying the relevant
  898. 33:46information like
  899. 33:48to address huge widespread problems that
  900. 33:52have relatively simple solutions they
  901. 33:54can work okay
  902. 33:55but they're not all that good like
  903. 33:57staying up to date
  904. 33:59with
  905. 34:00like what's the way that a price system
  906. 34:02would be with like what exactly is the
  907. 34:04informational conditions and how much
  908. 34:06should i be doing of this thing exactly
  909. 34:08i think it's a little bit like prior to
  910. 34:11um like market exchange with money
  911. 34:14people used to have barter systems or
  912. 34:16even before barter they would like do
  913. 34:17something good for someone else and
  914. 34:18someone else would owe something back to
  915. 34:20them and so forth but it was very hard
  916. 34:22in that system to communicate like
  917. 34:23exactly how much i owed to you and like
  918. 34:26to trade with someone who we don't know
  919. 34:28and all this sort of stuff right and the
  920. 34:31market system by formalizing those
  921. 34:33systems of gift exchange made things
  922. 34:35work a lot better and so i think that's
  923. 34:37the problem with trying to solve these
  924. 34:40by these sort of voluntary cooperation
  925. 34:42the reason why states have been so
  926. 34:44important to the development of
  927. 34:45civilizations is it just gets really
  928. 34:47complicated trying to keep track of all
  929. 34:48that stuff without some centralized
  930. 34:50course of authority to to make all the
  931. 34:52stuff work yeah
  932. 34:54austin i remember reading like following
  933. 34:56september 11th
  934. 34:58afghanistan refused to give up the sun
  935. 35:00but one due to the fact that there's
  936. 35:01like a cultural one there yeah it says
  937. 35:03like you'll never give up a guest
  938. 35:05basically yeah
  939. 35:06yeah and that seems like it's very
  940. 35:08similar to kind of this like strong
  941. 35:10cultural norms yeah i mean of course
  942. 35:12laws
  943. 35:13can also get outdated right but um i
  944. 35:17think formal systems generally have
  945. 35:20proved themselves to allow interactions
  946. 35:22over broader ranges in more flexible
  947. 35:24ways than do cultural institutions
  948. 35:27though cultural institutions have been
  949. 35:29crucial
  950. 35:30in areas where it would be very hard for
  951. 35:32the law to observe things
  952. 35:35so they they are important as well but i
  953. 35:38think that the more that we're able to
  954. 35:40take something out of the realm of the
  955. 35:41cultural and into the realm of the
  956. 35:43formal
  957. 35:44the the
  958. 35:45broader is the possibilities for social
  959. 35:48development so i'm just wondering
  960. 35:49because like obviously that turned out
  961. 35:51badly for afghanistan yeah
  962. 35:53if there's any kind of anybody's ever
  963. 35:55estimated
  964. 35:59uh
  965. 36:01yeah i mean i think you have to figure
  966. 36:02out exactly which cultural norms you
  967. 36:04wanna but yeah i mean there's been some
  968. 36:06work on stuff like that like avner grave
  969. 36:08uh has worked on that and in fact we're
  970. 36:10having him come give a talk in february
  971. 36:13so
  972. 36:13um yeah
  973. 36:15i'm not sure if you mentioned it later
  974. 36:17but how exactly would you define foreign
  975. 36:22that's a very good question that's an
  976. 36:23excellent question um
  977. 36:27so the coercion is an extremely
  978. 36:29problematic term the reason why it's a
  979. 36:31very problematic term is that it's
  980. 36:34always relative to some status quo that
  981. 36:37we assume yeah uh all what coercion
  982. 36:40means is we can force people to
  983. 36:42participate
  984. 36:43but
  985. 36:45we could
  986. 36:46the only thing
  987. 36:47that was making them not participate is
  988. 36:49that we were protecting their property
  989. 36:50rights to begin with but of course it's
  990. 36:53not necessarily coercion to protect
  991. 36:55to to take away their property rights
  992. 36:57because
  993. 36:59it could be coercion just for them to
  994. 37:00stop us from taking away their property
  995. 37:02right so it's all defined relative to
  996. 37:04some baseline so i think really um if
  997. 37:08you look at it from a
  998. 37:10even higher level of abstraction there's
  999. 37:12like an implicit assumption being made
  1000. 37:15that we're sort of in like some property
  1001. 37:17rights regime where people make sort of
  1002. 37:20like linear pricing transactions with
  1003. 37:22one another and it's coercion relative
  1004. 37:25to that baseline but i think that like
  1005. 37:28i mean one thing that we're going to
  1006. 37:29sort of come to is that that like linear
  1007. 37:32pricing with property rights baseline is
  1008. 37:34sort of like not the right way to be
  1009. 37:36thinking about these situations
  1010. 37:38so in that sense we need coercion we
  1011. 37:40really need some fundamental deviation
  1012. 37:43from linear pricing in some sense
  1013. 37:46so i mean that's getting to a very very
  1014. 37:48high level of abstraction but
  1015. 37:51does that make sense
  1016. 37:52yeah
  1017. 37:54okay
  1018. 37:55so um
  1019. 37:56if
  1020. 37:57uh
  1021. 37:59public goods and bads are local enough
  1022. 38:02and it's easy for people to move
  1023. 38:05then people can just move to the place
  1024. 38:06where a lot of public goods are provided
  1025. 38:09well and this is called tibu competition
  1026. 38:14where local areas compete to attract
  1027. 38:17uh people
  1028. 38:18and i think this is quite important for
  1029. 38:20many local public services such as
  1030. 38:22street cleaning
  1031. 38:23schools police fire etc but it depends
  1032. 38:27crucially on people being able to move
  1033. 38:29uh to the best area cheaply and in
  1034. 38:32particular on the value of the good to
  1035. 38:34them being independent of their location
  1036. 38:36so you have to be willing to like move
  1037. 38:38from where you've grown up where all
  1038. 38:39your friends are to wherever happens to
  1039. 38:41provide the best public goods which most
  1040. 38:43people aren't willing to do
  1041. 38:45and effectively this makes things
  1042. 38:47both excludable and rival because in any
  1043. 38:50particular area those things will tend
  1044. 38:52to get congested and you can keep
  1045. 38:53someone from moving to the area so what
  1046. 38:56this says is that you know some things
  1047. 38:57that might appear to be public goods
  1048. 38:59maybe aren't that public goods at least
  1049. 39:01if people aren't too committed to the
  1050. 39:03particular location where they're living
  1051. 39:05and that what makes something really
  1052. 39:07subject to being public goods is someone
  1053. 39:08who's sort of stuck there or they've got
  1054. 39:10some value of being there in particular
  1055. 39:12right
  1056. 39:13um so i don't think that this sort of
  1057. 39:15competition is a real solution to the
  1058. 39:17public goods problem but it does put
  1059. 39:18some bounds on how bad it can get before
  1060. 39:21people will up and leave
  1061. 39:24okay now the most famous solution to the
  1062. 39:27public goods problem private solution
  1063. 39:30came from two swedes uh
  1064. 39:32uh eric lindahl and knute vixel
  1065. 39:35and they uh imagined that we were trying
  1066. 39:37to build some big project imagine it's
  1067. 39:40just a binary decision yes or no are we
  1068. 39:42going to build this project
  1069. 39:46and i'm going to focus mostly on this
  1070. 39:48case for public goods from now on and
  1071. 39:50imagine each citizen gets some value vi
  1072. 39:53from the project being built and the
  1073. 39:56cost of building it is capital c
  1074. 39:59so the solution they proposed was to ask
  1075. 40:01each person
  1076. 40:03to pay a share s i
  1077. 40:05uh which is equal to their share of the
  1078. 40:08total value
  1079. 40:10and
  1080. 40:12if you do that
  1081. 40:13then
  1082. 40:15note that
  1083. 40:17if
  1084. 40:18the total value of the project is
  1085. 40:20greater than its cost that is it's
  1086. 40:22efficient
  1087. 40:23then everyone will find the value
  1088. 40:27their own value to be greater than their
  1089. 40:29share of the cost
  1090. 40:31so they proposed a mechanism
  1091. 40:33in which everyone if everyone agrees and
  1092. 40:36the project gets built oh yeah mike um
  1093. 40:39sorry what does capital b
  1094. 40:41oh sorry capital v is the sum of all the
  1095. 40:43values okay
  1096. 40:45um if everyone agrees then the project
  1097. 40:48is built
  1098. 40:49and you pay your share of the cost if
  1099. 40:51anyone disagrees the project is not
  1100. 40:53built and nobody pays anything
  1101. 40:55and this
  1102. 40:57should succeed exactly when the thing is
  1103. 40:59efficient right because everyone is
  1104. 41:01pivotal to the decision
  1105. 41:03and therefore they're all willing to
  1106. 41:04make the contribution because they know
  1107. 41:06that it won't happen
  1108. 41:07otherwise this is called lindal pricing
  1109. 41:09or equilibrium or vexillion unanimity
  1110. 41:13um and in fact this was the mechanism
  1111. 41:16that was originally the idea that turned
  1112. 41:19into groupon
  1113. 41:21so they were trying to fund public goods
  1114. 41:23this way where ever where there would be
  1115. 41:25some provision point you would put money
  1116. 41:27in and only once it got to that point
  1117. 41:29would your money actually be spent right
  1118. 41:31and otherwise it would just keep
  1119. 41:33accumulating right
  1120. 41:34now
  1121. 41:35um
  1122. 41:37in practice uh i don't think that this
  1123. 41:40would actually work
  1124. 41:41and uh yeah tanner how is this group
  1125. 41:45okay so this was this turned into
  1126. 41:47groupon so initially groupon's idea was
  1127. 41:50this
  1128. 41:51uh for like some public goods but then
  1129. 41:53they said oh well one public good could
  1130. 41:55be negotiating a coupon with the things
  1131. 41:58but then of course the like actual group
  1132. 42:00aspect became irrelevant because once it
  1133. 42:02was just coupons like the companies just
  1134. 42:04didn't care whether they were giving it
  1135. 42:05to a large group or not right
  1136. 42:08so
  1137. 42:08christian do you have a question um this
  1138. 42:10might be a dangerous question yeah but
  1139. 42:12has anyone tried to fix this like
  1140. 42:14problem with like a vcg-esque mechanism
  1141. 42:18well we're gonna get we're gonna get
  1142. 42:19into that
  1143. 42:20we'll get into that very soon
  1144. 42:24um
  1145. 42:27uh okay
  1146. 42:28so
  1147. 42:29um
  1148. 42:30this is probably not practical for a few
  1149. 42:34uh reasons christian wha wha why why do
  1150. 42:36you think this look up
  1151. 42:37why do you think that this wouldn't work
  1152. 42:39in practice
  1153. 42:41um well one thing like you could have to
  1154. 42:43hold out like you said like the one guy
  1155. 42:46that doesn't want to pay a share second
  1156. 42:48one
  1157. 42:48but but if everyone if we if we knew
  1158. 42:51exactly what share of the value everyone
  1159. 42:53had then that wouldn't be a problem
  1160. 42:55right because people would do it if and
  1161. 42:57only if it was efficient
  1162. 42:59you're assuming that you know the value
  1163. 43:00of the share exactly
  1164. 43:03uh that that's exactly the biggest
  1165. 43:05problem and furthermore this isn't very
  1166. 43:07credible right imagine one person
  1167. 43:08doesn't do it everybody else does
  1168. 43:10wouldn't everyone just then like chip in
  1169. 43:12and say okay i'll pay a little bit extra
  1170. 43:14just to pay that guy's share right
  1171. 43:16uh
  1172. 43:17more more importantly with the issue
  1173. 43:18christian raises that you don't know
  1174. 43:20everyone's value exactly right
  1175. 43:23imagine you only know people's shares
  1176. 43:25approximately
  1177. 43:26so that there's always some chance that
  1178. 43:30even if it's efficient their share of
  1179. 43:33the cost is greater than their value
  1180. 43:36right yeah
  1181. 43:37if v is greater c than what happens like
  1182. 43:40for excess
  1183. 43:42um
  1184. 43:43like money raised well every because
  1185. 43:46everyone will get their share of that
  1186. 43:48excess right because they only pay their
  1187. 43:49share of the cost not their share of the
  1188. 43:51value
  1189. 43:54um
  1190. 43:56yeah dave
  1191. 43:57wait so if their share is much is
  1192. 44:00significant you're basically saying that
  1193. 44:01there's a probability that the um
  1194. 44:04their valuation is lower than their
  1195. 44:06share
  1196. 44:08yeah there's some probability just
  1197. 44:10because we don't know perfectly what
  1198. 44:11everyone's share of the total value is
  1199. 44:14um
  1200. 44:16and i think that this is the reason why
  1201. 44:18it's so hard to imagine
  1202. 44:20using this is that there's always going
  1203. 44:22to be some chance that you've missed
  1204. 44:24estimated somebody and that that person
  1205. 44:27says no genuinely
  1206. 44:28right
  1207. 44:29um
  1208. 44:30and we can compute what a problem this
  1209. 44:33would cause by crunching some numbers so
  1210. 44:35imagine that we have
  1211. 44:37capital f being the cumulative
  1212. 44:39distribution function of these values
  1213. 44:40imagine everyone has equal shares so
  1214. 44:43everyone we think is pretty much one
  1215. 44:44over n but there's some uncertainty
  1216. 44:47about that so then the probability that
  1217. 44:49any individual rejects will be the cdf
  1218. 44:52of c over n
  1219. 44:53and the probability that any individual
  1220. 44:55consents will be 1 minus f of c over n
  1221. 44:58so the probability that everyone
  1222. 45:00consents will be 1 minus f of c over n
  1223. 45:03to the nth power
  1224. 45:05now imagine that we have such an
  1225. 45:07accurate estimate and this seems pretty
  1226. 45:09unrealistic but we have such an accurate
  1227. 45:10estimate of people's valuations that we
  1228. 45:12can make sure there's only one chance in
  1229. 45:14a thousand that they'll reject
  1230. 45:16right
  1231. 45:18so
  1232. 45:19um even then once we have a thousand
  1233. 45:21people there's only a 35 percent chance
  1234. 45:23that the thing succeeds
  1235. 45:25and with a small town
  1236. 45:27there will be less than one in 20 000
  1237. 45:29chance that it
  1238. 45:30succeeds um
  1239. 45:33so
  1240. 45:33uh this shows what happens as the number
  1241. 45:36of citizens grows large just the logic
  1242. 45:39of exponentials means that it's very
  1243. 45:41unlikely that this thing is going to
  1244. 45:42succeed
  1245. 45:45okay
  1246. 45:46and that's not simply true
  1247. 45:49of this mechanism where we make
  1248. 45:52people take it or leave it offer like
  1249. 45:53you have to have
  1250. 45:55uh this fraction of the cost and you
  1251. 45:58know you can accept or reject
  1252. 46:00um if you start saying okay well maybe
  1253. 46:03some people
  1254. 46:04don't want to do exactly this much maybe
  1255. 46:07we can allow them to say well look i'm
  1256. 46:09willing to pay a little bit less but if
  1257. 46:11you start doing that then people have an
  1258. 46:13incentive to free ride right because
  1259. 46:14everyone's gonna try to
  1260. 46:17be the one who uh is the holdout right
  1261. 46:21um so either way you go you're sort of
  1262. 46:23damned right
  1263. 46:25and this is a fundamental theorem a lot
  1264. 46:27like corneau's theorems it's called the
  1265. 46:29male of poster weight theorem it says if
  1266. 46:31everyone must consent to the funding of
  1267. 46:32a project
  1268. 46:34and no external funds are available the
  1269. 46:36probability of the project being
  1270. 46:38undertaken goes to zero as n gets large
  1271. 46:42uh what that says is that no
  1272. 46:44private that is voluntary in self
  1273. 46:46financing system works and again to
  1274. 46:49florence's question that's voluntary and
  1275. 46:51self financing relative to the set of
  1276. 46:53things that we've sort of endowed to
  1277. 46:55people before we
  1278. 46:56uh do this project right
  1279. 46:59so that's we always run in
  1280. 47:01yeah uh
  1281. 47:03um
  1282. 47:04how was that related like
  1283. 47:07i believe
  1284. 47:10we're going to talk a lot about voting
  1285. 47:12in just a second so let me just get
  1286. 47:13there
  1287. 47:14okay so um
  1288. 47:17thus we always run into a collective
  1289. 47:19action problem public projects
  1290. 47:22good or bad always require collusion
  1291. 47:25um and we did it for a binary case but
  1292. 47:27it's more true more broadly
  1293. 47:29and coercion can operate really in two
  1294. 47:32ways that are quite closely related so
  1295. 47:33well what are those two ways that it can
  1296. 47:35operate
  1297. 47:36so we we defined private as voluntary
  1298. 47:39and self-financing so what are the two
  1299. 47:41ways we could break that
  1300. 47:42um
  1301. 47:48yeah
  1302. 47:49and what's how about
  1303. 47:51how what form of coercion could break
  1304. 47:53self-financing
  1305. 47:54like government
  1306. 47:57if you had some money from the outside
  1307. 47:59right which would have to come from
  1308. 48:00somewhere presumably from making
  1309. 48:02somebody else pay for it right
  1310. 48:04um
  1311. 48:06yeah so you can make the members of the
  1312. 48:09yeah what do you mean by making members
  1313. 48:11of the community
  1314. 48:13well you can force them to pay right you
  1315. 48:16can use the coercive power of the
  1316. 48:17government
  1317. 48:21i mean or implicitly taxing them like
  1318. 48:23put forcing them off their land
  1319. 48:26right
  1320. 48:27uh or you can raise some external funds
  1321. 48:30uh
  1322. 48:32but of course unless that's voluntary it
  1323. 48:34has to come from someone so in some
  1324. 48:36sense they're both coercive strategies
  1325. 48:39right
  1326. 48:41so in eminent domain um
  1327. 48:44uh
  1328. 48:47um
  1329. 48:50in eminent domain how would this work in
  1330. 48:52practice evan
  1331. 48:54domain well
  1332. 48:56you have the government that wants to do
  1333. 48:58some kind of project and so it goes it
  1334. 49:00takes evaluation of whatever it is they
  1335. 49:02want to take using the land yeah and
  1336. 49:04they go and make a price
  1337. 49:05to or they offer the price of whoever it
  1338. 49:07is they can either choose to accept it
  1339. 49:09or a lot of times people will actually
  1340. 49:11go to court to try and extract a higher
  1341. 49:12price
  1342. 49:14yeah so the government can but the
  1343. 49:16government has the right to undermine
  1344. 49:17the domain to force people off their
  1345. 49:18land right yes but it also has to be
  1346. 49:21considered like by law a fair price or
  1347. 49:23else it's cruel unusual punishment in
  1348. 49:24the united states well it's not cruel
  1349. 49:26and unusual punishment but it's not just
  1350. 49:28it's not just compensation well i think
  1351. 49:30that i think there is a law that has to
  1352. 49:33be considered a fair price yeah yeah
  1353. 49:35it's called just compensation yeah so
  1354. 49:37yeah that's the that's the
  1355. 49:38constitutional provision if it's if it's
  1356. 49:40ruled a fair price you have to accept it
  1357. 49:42yeah exactly so that's one thing is that
  1358. 49:46they can
  1359. 49:47tax some of the beneficiaries of the
  1360. 49:49public uh
  1361. 49:51in the eminent domain situation
  1362. 49:53and then they can use that to subsidize
  1363. 49:55this fair price
  1364. 49:57or they can just force people off of
  1365. 49:59their land and the supreme court has
  1366. 50:02really expanded this so that you can do
  1367. 50:04this in a very wide range of cases
  1368. 50:07similarly in debt and corporate
  1369. 50:10restructuring there's usually some sort
  1370. 50:12of voting where you can force people who
  1371. 50:14don't want to sell their things to to
  1372. 50:16sell them
  1373. 50:19okay
  1374. 50:20so
  1375. 50:21um
  1376. 50:25what what this has taught us is that we
  1377. 50:27need to use some form of coercion
  1378. 50:30in order to address
  1379. 50:32these problems
  1380. 50:35but of course when we use coercion you
  1381. 50:37know we don't any longer have the
  1382. 50:39market's
  1383. 50:40magic decision making mechanism guiding
  1384. 50:44the decision that we make because
  1385. 50:45there's going to have to be some central
  1386. 50:47coercive authority that makes the
  1387. 50:49decision
  1388. 50:51on
  1389. 50:52for example when is it worth uh building
  1390. 50:55the project or kicking people off their
  1391. 50:56land etc
  1392. 50:58um and this is very similar problem to
  1393. 51:01the externalities discussion we had
  1394. 51:03before
  1395. 51:04and what ways did we talk about then uh
  1396. 51:08making a decision
  1397. 51:09about uh whether to impose
  1398. 51:12um
  1399. 51:13a particular uh externalities tax uh
  1400. 51:16evan what were some of the
  1401. 51:17uh procedures that we talked about so we
  1402. 51:19have things like contingent evaluation
  1403. 51:21yeah
  1404. 51:22gross mechanism yeah
  1405. 51:24um
  1406. 51:29yeah that's good expertise using having
  1407. 51:32experts assess
  1408. 51:34yeah
  1409. 51:35so
  1410. 51:36uh exactly
  1411. 51:38and uh
  1412. 51:40these are used with sort of declining
  1413. 51:41frequency often it's accessed by experts
  1414. 51:44sometimes they use these crazy surveys
  1415. 51:46and then the mechanisms that christian
  1416. 51:48was referring to are almost never used
  1417. 51:50right
  1418. 51:51now um
  1419. 51:53the
  1420. 51:54i think the key difference
  1421. 51:56uh here if there is any is that we are
  1422. 51:58focusing on a case where there's like
  1423. 51:59some binary decision to be made whereas
  1424. 52:02there we were more focusing on like how
  1425. 52:04high the tax should be and we think it's
  1426. 52:06really important to get input from
  1427. 52:07individuals so we don't think the
  1428. 52:10expertise is going to be sufficient in
  1429. 52:11most cases and there is a very large
  1430. 52:14number of individuals involved now in
  1431. 52:16these settings in practice we often use
  1432. 52:17some form of voting to make the decision
  1433. 52:20in particular everyone gets some weight
  1434. 52:22and the thing is approved if
  1435. 52:24people
  1436. 52:25uh people's support is above some
  1437. 52:27threshold
  1438. 52:28okay
  1439. 52:29so um
  1440. 52:31let's think about how voting is as a way
  1441. 52:33to make decisions on these issues so
  1442. 52:35imagine that everybody
  1443. 52:37has even shares again and has those iid
  1444. 52:39values we talked about now we want the
  1445. 52:41thing to pass if the sum of all the
  1446. 52:43values is greater than the cost
  1447. 52:45which is to say if the average value is
  1448. 52:47greater than the
  1449. 52:48per person cost right
  1450. 52:50but when is it going to pass under
  1451. 52:52voting can somebody
  1452. 52:54tell me
  1453. 52:55uh yes you are a majority of people have
  1454. 52:57their value over the average value yeah
  1455. 53:00so
  1456. 53:01can you express that in a
  1457. 53:03like some statistic being greater than
  1458. 53:05the uh per person cost so like n over
  1459. 53:08two times
  1460. 53:12two
  1461. 53:13okay so if the average if the
  1462. 53:16majority has their values be above that
  1463. 53:18what will that say about how the some
  1464. 53:21statistic compares to the per
  1465. 53:24person
  1466. 53:25uh so like
  1467. 53:26would that include the um cdf
  1468. 53:29yeah it's related to that
  1469. 53:31i guess
  1470. 53:32um
  1471. 53:34yeah i'm sorry
  1472. 53:36anybody else uh
  1473. 53:38uh
  1474. 53:39yeah adam
  1475. 53:40um
  1476. 53:42exactly
  1477. 53:44exactly so
  1478. 53:45if
  1479. 53:46the majority have vi greater than c over
  1480. 53:48n this is the same as the median person
  1481. 53:51having
  1482. 53:52something that's above that right
  1483. 53:55so this is going to be efficient if and
  1484. 53:57only if the median person has the same
  1485. 53:59preferences as the mean person
  1486. 54:01and the sufficient condition for this is
  1487. 54:03that there's a symmetric distribution of
  1488. 54:04valuations but even in a fi when there's
  1489. 54:07a large population in a finite
  1490. 54:09population that's not even enough
  1491. 54:11so
  1492. 54:12uh ted bergstrom in 1979 used this to
  1493. 54:15argue for an interesting tax principle
  1494. 54:17he said that it's probably not likely
  1495. 54:19that there that the median person
  1496. 54:22uh is has the same value as the mean
  1497. 54:24person because rich people tend to value
  1498. 54:27public goods more you know they value
  1499. 54:29having nice streets and dollar terms
  1500. 54:31more
  1501. 54:32and the we know that the distribution of
  1502. 54:34income is not symmetric it's skewed to
  1503. 54:36the right but imagine that we have
  1504. 54:38people pay taxes that are proportional
  1505. 54:40to their income then it might be that
  1506. 54:42their valuation as a fraction of their
  1507. 54:44income might be closer to being
  1508. 54:46symmetric and so democracy might work
  1509. 54:48better if things are funded up out of
  1510. 54:50taxation that's proportional to income
  1511. 54:52rather than out of a flat
  1512. 54:54tax that everybody pays which i think is
  1513. 54:56an interesting argument yeah more um why
  1514. 54:59wouldn't it be efficient if the median
  1515. 55:01were greater than the mean
  1516. 55:03uh it would
  1517. 55:05um it wouldn't be efficient because
  1518. 55:07imagine that the mean were less than c
  1519. 55:09over n
  1520. 55:11and then the median were greater than c
  1521. 55:13over n then you would build it even
  1522. 55:14though it's not efficient
  1523. 55:17so just like to generally be efficient
  1524. 55:18it requires that
  1525. 55:21um okay
  1526. 55:24so um
  1527. 55:26a sort of more broad principle of
  1528. 55:28taxation is that if you can tax people
  1529. 55:30in a way that sort of organizes it so
  1530. 55:33that we know
  1531. 55:34what part of the distribution
  1532. 55:37corresponds to
  1533. 55:39the mean conditional on the taxation
  1534. 55:42then things are going to work better
  1535. 55:43because you could always set the voting
  1536. 55:44threshold so that it's exactly equal to
  1537. 55:48whatever part corresponds to the mean so
  1538. 55:50for example if you know the distribution
  1539. 55:52is right skewed you could have a
  1540. 55:55sub-majority rule
  1541. 55:57for approving the thing so that you
  1542. 55:59don't need a
  1543. 56:00full majority if it's left skewed you
  1544. 56:02could have a super majority rule uh in
  1545. 56:04order to
  1546. 56:06um
  1547. 56:07in order to
  1548. 56:08get something that's more efficient but
  1549. 56:09again you need to know what quantile of
  1550. 56:11the distribution corresponds to the mean
  1551. 56:13in order to do that
  1552. 56:16yeah
  1553. 56:16everybody relates to filibusters yeah
  1554. 56:20so would that mean that
  1555. 56:22filibusters be like more efficient if
  1556. 56:24you have a more extreme wing of one
  1557. 56:26party
  1558. 56:27yeah so if it filibusters
  1559. 56:30are a more efficient mechanism
  1560. 56:33then uh
  1561. 56:36well
  1562. 56:37and sometimes submajority rule right so
  1563. 56:40you you want to
  1564. 56:41have on positive votes
  1565. 56:44uh filibuster if the people who feel
  1566. 56:47intensely are opposed yeah
  1567. 56:50uh and you want to have sub-majority
  1568. 56:52rule if they're in favor
  1569. 56:54okay you see what i mean
  1570. 56:56so like like here's a here's a simple
  1571. 56:58example of it like gay marriage right
  1572. 57:01so gay marriage is an issue where like
  1573. 57:03it's very clear there's a very small
  1574. 57:05part of the population that's
  1575. 57:06tremendously affected by this issue and
  1576. 57:08that's in favor of gay marriage and
  1577. 57:10another part of the population that
  1578. 57:11doesn't care as much but might be in
  1579. 57:13favor of or against so it seems very
  1580. 57:15clear to me on like gay marriage that we
  1581. 57:17should have not majority rule but like
  1582. 57:19sub-majority rule to pass it or super
  1583. 57:21majority rule to stop it you see what i
  1584. 57:24mean because only if the rest of the
  1585. 57:26population is overwhelmingly against it
  1586. 57:28should we overrule the preferences of
  1587. 57:29that minority who we know feels very
  1588. 57:31strongly about it
  1589. 57:34um
  1590. 57:35okay
  1591. 57:36so
  1592. 57:39in addition
  1593. 57:40to this sort of general problem that
  1594. 57:42there can be the tyranny of the majority
  1595. 57:44uh
  1596. 57:46under majority
  1597. 57:47rule
  1598. 57:48uh there can also
  1599. 57:50this can also create particular
  1600. 57:52perversities when people have the
  1601. 57:53ability to manipulate
  1602. 57:56how much value people get out of the
  1603. 57:58issue
  1604. 57:59so let me
  1605. 58:02give you
  1606. 58:03an example
  1607. 58:04imagine that
  1608. 58:07we are the government or maybe a private
  1609. 58:10person who's in league with the
  1610. 58:12government and we want to buy out some
  1611. 58:14land
  1612. 58:15and imagine that we're going to make an
  1613. 58:17offer for this land
  1614. 58:19and then we're going to have a majority
  1615. 58:20vote among the people who whose land is
  1616. 58:22being taken about whether the offer they
  1617. 58:24want to accept the offer or not and then
  1618. 58:25everyone's going to be forced to go
  1619. 58:26along with that
  1620. 58:27if you were the developer adam what
  1621. 58:29would what strategy would you follow in
  1622. 58:31order to get the land for the lowest
  1623. 58:32possible price well you
  1624. 58:34if it's like uh like a 51 yeah authority
  1625. 58:38rule then you
  1626. 58:39just
  1627. 58:40offered just enough to get to that like
  1628. 58:43that 51 of people would support it and
  1629. 58:46then like
  1630. 58:47in particular you would target all of
  1631. 58:49your offer at those like you'd identify
  1632. 58:5151 of like poor people who'd be willing
  1633. 58:53to sell for
  1634. 58:54a little bit right you would give them
  1635. 58:56all just enough to get them to sell and
  1636. 58:58then you'd offer nothing to everybody
  1637. 59:00else
  1638. 59:01and so then you would have stolen
  1639. 59:03at least 49 of the land probably more
  1640. 59:06right
  1641. 59:10yeah so that can lead to inefficient
  1642. 59:13expropriation and under investment in
  1643. 59:16fact
  1644. 59:17like in general and this is the example
  1645. 59:19of christians giving uh
  1646. 59:22like
  1647. 59:23democratic governments are known to like
  1648. 59:26be prone to populism which is basically
  1649. 59:30when you find something that like
  1650. 59:31benefits
  1651. 59:32like a majority of people in the
  1652. 59:34relevant place
  1653. 59:35and then you screw everybody else right
  1654. 59:38even though they're benefiting less than
  1655. 59:40everybody else is
  1656. 59:41losing right
  1657. 59:42um
  1658. 59:43and
  1659. 59:45there are tons of other examples of this
  1660. 59:47tyranny of the majority problem
  1661. 59:49so that are more severe than the iowa
  1662. 59:51caucuses so one of them is you can get
  1663. 59:55just 51 of a company
  1664. 59:57and then you could like just sell the
  1665. 59:59whole instruct the company to be sold to
  1666. 1:00:02a shell company that you control
  1667. 1:00:04right we talked about that in the theory
  1668. 1:00:06of the firm lecture
  1669. 1:00:08populist governments in latin america
  1670. 1:00:11do all sorts of things that maybe
  1671. 1:00:12benefit the majority but screw over the
  1672. 1:00:14rest of the population and ruin the
  1673. 1:00:15economy
  1674. 1:00:17majoritarian governments in the middle
  1675. 1:00:19east have recently as people have
  1676. 1:00:21probably noticed been doing things that
  1677. 1:00:24like really hurt minorities in those
  1678. 1:00:26areas so like the
  1679. 1:00:28um muslim brotherhood government in
  1680. 1:00:30egypt
  1681. 1:00:31was you know doing all sorts of things
  1682. 1:00:32to oppress religious minorities which
  1683. 1:00:35led to all sorts of instability
  1684. 1:00:37uh a simple example
  1685. 1:00:40is that in doodle i don't know if
  1686. 1:00:41anyone's ever used doodle for scheduling
  1687. 1:00:44but like it's very easy for people to
  1688. 1:00:46like you know only check the one date
  1689. 1:00:48that they most want to do and then maybe
  1690. 1:00:50a bare majority does that and then
  1691. 1:00:51there's all sorts of people who can't
  1692. 1:00:53make that date at all who don't get
  1693. 1:00:54included right gay marriage referenda
  1694. 1:00:57etc right
  1695. 1:00:58so to fix many of these problems in
  1696. 1:01:00practice we don't actually use majority
  1697. 1:01:03rule right
  1698. 1:01:04what we use is some combination majority
  1699. 1:01:07rule with all sorts of informal
  1700. 1:01:08institutions like log rolling
  1701. 1:01:10like i scratch your back you scratch
  1702. 1:01:12mine uh you know lobbying the supreme
  1703. 1:01:16court tries to protect minorities
  1704. 1:01:18there's like checks and balances that
  1705. 1:01:20create super majority rules etc so we
  1706. 1:01:22have all these like we've got democracy
  1707. 1:01:24and we're like oh that's a great idea
  1708. 1:01:25well actually maybe not such a great
  1709. 1:01:27idea let's put all these bandages around
  1710. 1:01:29it in various ways right
  1711. 1:01:31um and the problem with all of these
  1712. 1:01:34fixes is even though maybe they're
  1713. 1:01:35better than just simple majority rule
  1714. 1:01:37because it would be overwhelmed by the
  1715. 1:01:38tyranny of the majority they lead to all
  1716. 1:01:40sorts of inefficiencies in corruption
  1717. 1:01:42and paralysis as we've noticed uh in
  1718. 1:01:45congress recently yeah philip do you
  1719. 1:01:47have any evidence that like log ruling
  1720. 1:01:49and lobbying actually fix more problems
  1721. 1:01:51than they create no
  1722. 1:01:54but i think they do probably
  1723. 1:01:56uh because i think that if you
  1724. 1:01:59like if you look at like the movie
  1725. 1:02:00lincoln
  1726. 1:02:01you know the 13th amendment i don't
  1727. 1:02:03think would have passed without that
  1728. 1:02:04sort of corruption and i think that for
  1729. 1:02:06every example that you have of like some
  1730. 1:02:08bad corruption you see actually i do
  1731. 1:02:10have one sort of example they got rid of
  1732. 1:02:12earmarks in congress a few years ago
  1733. 1:02:15and i think congress has turned into
  1734. 1:02:16like much worse of a disaster since they
  1735. 1:02:18got rid of them
  1736. 1:02:19so i think that's like one example
  1737. 1:02:22uh yeah dick does this also tie back to
  1738. 1:02:24our earlier discussion about when you
  1739. 1:02:26have um
  1740. 1:02:28because uh entities that are lobbying
  1741. 1:02:30tend to have
  1742. 1:02:32more income i suppose you could say um
  1743. 1:02:35they get higher valuation out of
  1744. 1:02:37decisions that they're more impacted by
  1745. 1:02:39decisions yeah
  1746. 1:02:41but on the other hand like that that
  1747. 1:02:43leads them to like get all the influence
  1748. 1:02:45like if you just turn it over to like a
  1749. 1:02:46lobbying system where it just can be
  1750. 1:02:48bought out well then that's not very
  1751. 1:02:50efficient either but it's just then like
  1752. 1:02:52the person who values it the most wins
  1753. 1:02:55it so
  1754. 1:02:56that's not a very good system either so
  1755. 1:02:58kind of like a filler
  1756. 1:02:59yeah exactly yeah right um how is it
  1757. 1:03:02related to like
  1758. 1:03:04the most familiar
  1759. 1:03:07like uh there's a probability that it's
  1760. 1:03:10higher observable
  1761. 1:03:12no um
  1762. 1:03:14voting is pretty invariant to that
  1763. 1:03:17uh because the thing is male 1 really
  1764. 1:03:19comes out of the absence of coercion
  1765. 1:03:22not out of the inefficiencies associated
  1766. 1:03:24with voting so voting is one potential
  1767. 1:03:26solution to that but it has its own
  1768. 1:03:27inefficiencies
  1769. 1:03:30good question now
  1770. 1:03:31yeah jake um with loading isn't there
  1771. 1:03:34also the problem that there's a
  1772. 1:03:35transaction cost to the actual accuracy
  1773. 1:03:38itself and so that might filter out
  1774. 1:03:40people who don't care that much about
  1775. 1:03:41the details but might feel strong
  1776. 1:03:45so that can actually improve things but
  1777. 1:03:47like there's a whole culture around
  1778. 1:03:49voting and democracy which i think
  1779. 1:03:51encourages people not to take those
  1780. 1:03:53votes like those costs into account and
  1781. 1:03:55to like vote just because it's their
  1782. 1:03:58obligation to vote because like
  1783. 1:04:01the mechanism is not really vote if and
  1784. 1:04:03only if it's like you know above the
  1785. 1:04:05transactions cost to you the real
  1786. 1:04:07mechanism is everyone should vote and
  1787. 1:04:09even though you're not literally
  1788. 1:04:10required to in transaction costs do
  1789. 1:04:12filter out some people and maybe that
  1790. 1:04:13can make it a little bit better actually
  1791. 1:04:15um
  1792. 1:04:16that's not sort of what
  1793. 1:04:18people
  1794. 1:04:19uh want you know and i guess because
  1795. 1:04:21it's better because that means that the
  1796. 1:04:24media person is closer
  1797. 1:04:26to the mean yeah probably at least in
  1798. 1:04:28some cases yeah christian isn't there
  1799. 1:04:30actually like a paradox or some old dead
  1800. 1:04:32guy like the voting paradox that like in
  1801. 1:04:34a large enough society the actual
  1802. 1:04:36benefit of your vote is basically zero
  1803. 1:04:39yeah and so since voting does have some
  1804. 1:04:41transactional costs i go no one should
  1805. 1:04:43be voting yeah that's true there's a
  1806. 1:04:45whole lot of literature about that
  1807. 1:04:47question who's who's what's that
  1808. 1:04:50well i mean it's a very old old idea i
  1809. 1:04:52think condorcet first pointed that out
  1810. 1:04:54but um
  1811. 1:04:55but there's a lot of recent literature
  1812. 1:04:57there's a book by mark bleis that's
  1813. 1:04:59pretty good on this
  1814. 1:05:01if you're interested in this

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