ECON20110 Fall 2013 - Lecture 16: Public Goods — Transcript
Full transcript
- 0:01okay everybody um
- 0:03so
- 0:04uh competition policy which we talked
- 0:07about in the last lecture
- 0:09basically tries to stop firms from
- 0:12colluding with each other tries to stop
- 0:14them from internalizing the
- 0:16externalities across one another but
- 0:18just as often we want to promote this
- 0:20sort of collaboration between different
- 0:24individuals organizations to try to
- 0:26solve externality problems
- 0:30and in particular
- 0:32the most extreme form of this is when we
- 0:34have public projects that bring diffuse
- 0:37costs or benefit that are spread across
- 0:39societies
- 0:40in which individual voluntary initiative
- 0:43is insufficient
- 0:44so i'm going to start just to link it to
- 0:46our last lecture on competition policy
- 0:49by talking about cornea's collaboration
- 0:52problem which is sort of a duel to
- 0:55cornos competition problem but has the
- 0:56opposite implications
- 0:59and
- 1:00where in the cornea uh
- 1:03competition problem we found that as the
- 1:04number of people got large things
- 1:06started working very well in cornea's
- 1:08collaboration problems the number of
- 1:10people gets large things will work very
- 1:12poorly
- 1:14and we'll talk about the relationship of
- 1:16this to public goods problems
- 1:20and
- 1:21we'll talk about the definition of
- 1:23public goods and bads about private
- 1:25solutions
- 1:27to
- 1:28public goods problems and and the
- 1:29difficulties that they face
- 1:33and therefore why it's necessary to use
- 1:35coercion in public goods and bads
- 1:37problems
- 1:39and as an example of that we'll talk
- 1:40about eminent domain and the assembly of
- 1:42complementary goods
- 1:44and then we'll talk about given that
- 1:46coercion is necessary how we can go
- 1:48about deciding
- 1:50on uh whether to apply coercion in a
- 1:53given case or not
- 1:54and that will lead us into questions of
- 1:56voting and the flaws of standard voting
- 1:59procedures
- 2:01and
- 2:03this will be sort of a downer ending
- 2:05because we'll say that you know
- 2:07none of these voting procedures are a
- 2:08particularly good way to solve these
- 2:10problems and when we come back from
- 2:11break we'll talk about an alternative uh
- 2:14procedure that that might work better
- 2:16okay
- 2:17so corno uh was is one of my sort of
- 2:21heroes he came up both with the first
- 2:25model of monopoly and the first model of
- 2:28competition
- 2:29and he also came up with
- 2:31uh
- 2:32this model of collaboration
- 2:34between firms so um he imagined a case
- 2:38where there were n firms rather than
- 2:40producing products that were perfect
- 2:42substitutes for one another they were
- 2:43ones that were perfect complements we
- 2:45needed all of the things in order for
- 2:47the firm to in order for the product
- 2:50uh to be valuable
- 2:52uh a classic example of this is i don't
- 2:55know if you guys remember when the
- 2:56challenger crashed it was probably
- 2:57before most of you were born it was
- 2:59before most of you were born uh and
- 3:02um they found that the reason it had uh
- 3:07blown up was because there was a single
- 3:09o-ring that had failed o-ring is like
- 3:12something about this size
- 3:13and so because one o-ring had failed the
- 3:16whole thing blew apart right
- 3:18so that's what uh
- 3:21as a classic case of complementary goods
- 3:23things are only as good as the weakest
- 3:25link right
- 3:26and so um in this case
- 3:30uh the
- 3:32value of the good as a whole is really
- 3:35only the value if you get all of the
- 3:36pieces together
- 3:38which has a price which is the sum of
- 3:40the prices of the individual components
- 3:43and demand depends on this sum of prices
- 3:48now again for simplicity let's
- 3:50assume that each of these goods has
- 3:52constant marginal cost
- 3:55then
- 3:57the
- 3:58profits that each firm makes
- 4:00is going to be the price
- 4:03minus their cost times the quantity
- 4:05which depends on the sum of all the
- 4:06prices
- 4:07another way of representing that is that
- 4:09it's their markup price minus cost
- 4:13times quantity which depends on the sum
- 4:15of all the markups plus the sum of all
- 4:17the costs
- 4:20okay
- 4:21so um
- 4:22sue well
- 4:24what would be the optimal
- 4:27price for an individual firm
- 4:30to set
- 4:31uh if they were choosing their price in
- 4:32this market okay so you take it through
- 4:35zero yep
- 4:40to maybe do this one that one yeah for
- 4:44example um
- 4:45what's the optimal price
- 4:48you'd want markups well
- 4:50maybe you want to do it on the board
- 4:52yeah
- 4:53yeah
- 5:03okay so prophet is
- 5:10sorry
- 5:14quantity of
- 5:17n plus c so i'm listening some of the
- 5:19markers of c's that
- 5:21cost so
- 5:23i guess
- 5:24c is
- 5:26um
- 5:27c is a constant right okay and
- 5:31m depends on price so
- 5:33um
- 5:34well does that okay so how does that
- 5:36depend on price so m is the sum of
- 5:37everybody's minus c buys summed up so
- 5:40that's yeah um
- 5:43and let's say every firm takes all the
- 5:45other firms prices and therefore markups
- 5:47is given okay sure in which case it's um
- 5:50i guess it's like your price p i plus
- 5:52the sum of
- 5:54i don't know like j
- 5:57yeah
- 6:00u i minus
- 6:03c of n
- 6:14you're maximizing right okay so
- 6:16i mean because choosing your markups
- 6:18equivalent to choosing your price right
- 6:20right because
- 6:21right cost is
- 6:25so let's
- 6:35i'm just going to call this
- 6:36stuff yeah yeah
- 6:39that's great um so take the derivative
- 6:41of that it's right to p i it's n equals
- 6:43zero you have
- 6:44um
- 6:46one
- 6:50so you have a pi times this term yes i'm
- 6:53going to use a product
- 7:06is that that's i'm just like i do need
- 7:09to separate those things no no no can i
- 7:11just because you can just treat that
- 7:12whole first term
- 7:14as a term and you can use the product
- 7:16rule applied to that
- 7:18right so what's the derivative of first
- 7:19term with respect to pi um just
- 7:22just
- 7:24um
- 7:25just one yeah one times
- 7:46yeah
- 7:47times the derivative of the inside which
- 7:49is just one yeah
- 7:51times this term here yeah which is just
- 7:53the markup question
- 7:55so
- 7:56okay so now let's solve for the markup
- 7:58of i have to okay right so
- 8:01markup of i is equal to um
- 8:05so negative
- 8:08q
- 8:09di plus
- 8:17and i guess this is just this can just
- 8:19be written as m plus pi or m plus c
- 8:22would that just make more sense
- 8:33exactly
- 8:35nice work
- 8:37um
- 8:42okay and let's
- 8:45and remember that we can get capital m
- 8:47by just summing all these up right
- 8:49so capital m is then going to be equal
- 8:51to negative n times q over q prime
- 8:55right
- 8:59so note that this is exactly the
- 9:01opposite of the formula we got under
- 9:02competition
- 9:03under competition mi was going to be
- 9:06equal to
- 9:07capital q over n divided by q prime
- 9:10because
- 9:11because uh each q i was only one over n
- 9:14of the capital q
- 9:16here it's multiplied by n so rather than
- 9:19the markup diminishing as n increases
- 9:21the markup is going to increases and
- 9:23increases right
- 9:24so this is called the double
- 9:26marginalization or multi-marginalization
- 9:28problem and the more firms you have the
- 9:31more
- 9:33markup there is so the basic intuition
- 9:36here
- 9:37is that um the firms are all gonna
- 9:41take a cut right all of them are
- 9:43complementary products right each one is
- 9:46going to demand a markup on their chunk
- 9:49of the product and all those markups are
- 9:51going to
- 9:52stack up and multiply with the number of
- 9:54firms
- 9:55so let's consider a simple example
- 9:58imagine that capital q is equal to 1
- 10:00minus p this is our like linear demand
- 10:02example from before and ci was equal to
- 10:05zero
- 10:06okay tanner what is going to be q over q
- 10:09prime in this example well q is just one
- 10:12minus t yes
- 10:15which is negative one so times negative
- 10:18yeah so you guys have to make it long so
- 10:20so it's just
- 10:22one minus p negative one yeah yeah
- 10:25right
- 10:26um okay
- 10:28so
- 10:29uh so well what's then going to be the
- 10:30equilibrium price
- 10:32uh using your formula
- 10:35okay so
- 10:37p i minus
- 10:40so remember we said that if capital m is
- 10:42equal to n times this
- 10:44okay right and there's no cost
- 10:48okay so if capital m is equal to n
- 10:52maybe you can do it on the board again
- 10:53yeah it's probably gonna be the easiest
- 11:04um so capital m okay
- 11:07that's a or capital p which is equal to
- 11:09capital n because there's no cost right
- 11:11okay so capital p
- 11:20was it just n times one minus p yeah
- 11:22okay exactly so we're gonna
- 11:24solve out for p okay
- 11:28so um
- 11:37yep
- 11:53what that gives us
- 11:55is that the price is equal to n over n
- 11:57plus one
- 11:59so uh
- 12:01is dake here
- 12:04okay
- 12:05uh
- 12:06does somebody else want to tell me what
- 12:07the quantity is then
- 12:09yeah mike galvin um you substitute the
- 12:12thing that's well just derived into the
- 12:13equation above and you get one minus n
- 12:15over n plus one which and what's that uh
- 12:21just make a common denominator okay uh
- 12:25n plus one minus and so one over
- 12:30one over n plus one right yeah
- 12:32uh
- 12:34so what happens to this is the number of
- 12:36people gets larger so well
- 12:38it just goes to zero yeah exactly
- 12:42um
- 12:43and so eventually
- 12:45all these people
- 12:46taking their little cut
- 12:48kills the market by the death of a
- 12:50thousand cuts right uh
- 12:53the mark it's exactly the opposite um
- 12:57of the
- 12:59uh cournot
- 13:01compliments problem i mean the corner
- 13:03competition problem where the price went
- 13:04to the efficient level here price is
- 13:06going to the point where it destroys all
- 13:07demand
- 13:09right in fact the formulas are exactly
- 13:12the opposite right because
- 13:19remember that in corneau
- 13:21um
- 13:22competition i don't know if you guys
- 13:23remember but the price was the markup
- 13:26was equal to one over n plus one and the
- 13:28price and the quantity was equal to n
- 13:31over n plus one and how they're exactly
- 13:33the reverse uh for this demand at least
- 13:36in fact these two problems are exactly
- 13:37dual to one another and um i just want
- 13:40to try comparing that
- 13:42so um in the cornea quantity competition
- 13:45problem everyone takes each other's
- 13:47quantities as given and the price
- 13:49depended on the sum of all the
- 13:50quantities and profits were the product
- 13:53of markup and quantity
- 13:55under cornell's collaboration problem
- 13:57everyone takes each other's prices as
- 13:59given the quantity depends on the sum of
- 14:01the prices and the profits are the
- 14:04product of markup and quantity right so
- 14:05the problems are exactly identical
- 14:07except reversed
- 14:09um
- 14:10and uh therefore any result that's true
- 14:13in the cornea competition model is true
- 14:15here but reversed
- 14:17firms hurt each other by raising their
- 14:19price rather than bending rather than
- 14:21hurting each other by raising their
- 14:23quantity and therefore prices are going
- 14:25to be too high even from the perspective
- 14:27of the firms so if they could coordinate
- 14:29if they could
- 14:30collude if they could merge they would
- 14:32reduce the price and make everyone
- 14:34better off
- 14:36okay
- 14:37so
- 14:41mergers between firms producing
- 14:43complementary products which i think
- 14:45someone brought up in an earlier class
- 14:47is called
- 14:49a vertical merger
- 14:52and vertical mergers the reason they're
- 14:54called vertical is often
- 14:56one way that firms end up being
- 14:57complementary is one firm produces
- 14:59something that they sell to another firm
- 15:01they then do something with that and
- 15:03they sell it to another firm so they if
- 15:04you draw a diagram of it they're
- 15:06vertically related rather than
- 15:08horizontally competing with one another
- 15:10um and vertical mergers are usually not
- 15:13uh considered to be anti-competitive
- 15:16um in fact
- 15:17there's a
- 15:18reverse version of corneau's theorem
- 15:21that applies in this context that we've
- 15:23just sort of been going through and
- 15:24philip can you guess what that is um
- 15:27let's see as the number of
- 15:29uh
- 15:30we're producing perfect compliments
- 15:32tends to infinity uh quantity tends to
- 15:35zero yeah and the price tends to
- 15:36whatever price will get no one to buy
- 15:38the good absolutely
- 15:40yeah austin what's this like
- 15:44derivation
- 15:46so robert this was originally derived by
- 15:49corneau in 1838 but did robert burke use
- 15:52this to argue against competition policy
- 15:54at some point probably because every
- 15:56argument that there exists against
- 15:58competition policy robert burke has made
- 16:00at some point
- 16:01so
- 16:04driving forces against getting rid of
- 16:06like vertical integration wise
- 16:08uh yes i mean this is a classic chicago
- 16:11school argument and he was part of that
- 16:13broad camp so i would not be surprised
- 16:16but i don't know in particular
- 16:18um
- 16:21so markups become individually small but
- 16:24they collectively kill all demand
- 16:26because there's all these layers of
- 16:27monopoly um you can also think of this
- 16:30as being like a tragedy of the commons
- 16:32problem everyone wants their markup but
- 16:34they don't realize that in the process
- 16:36of getting their markup they're killing
- 16:37the market that's
- 16:39you know the goose that lays the golden
- 16:40egg right
- 16:42so
- 16:43let me relate this to an even more
- 16:45famous problem
- 16:46imagine that everyone can make costly
- 16:48contributions to a charity ai
- 16:51and the value that each person gets
- 16:53depends on the total amount of
- 16:54contributions that are made which is
- 16:56capital a which is the sum of ai and
- 16:58imagine each person's valuation
- 17:01vi prime
- 17:02uh
- 17:04is greater than zero
- 17:06so then each individual
- 17:10gets a value of this but the value of
- 17:12society is the sum of that
- 17:15and um imagine that everyone's the same
- 17:18the contribution
- 17:20that is going to bring
- 17:22total value of this only gives a value
- 17:25of this to each individual
- 17:26so if they're symmetric
- 17:28the individuals are going to solve v
- 17:31prime is equal to n whereas society
- 17:34would set v prime equal to 1.
- 17:36and v prime equal to n if v
- 17:38is concave is going to lead to much much
- 17:41much lower
- 17:43contributions towards the public good
- 17:45then would be socially optimal
- 17:48so this gives you basically the same
- 17:49result as corneau
- 17:51as n gets large you're going to be
- 17:53driven down to basically no provision of
- 17:55the good
- 17:56because everyone will free ride on other
- 17:58people
- 18:02their hope that other people will
- 18:03provide the good
- 18:05and so this is called the collective
- 18:07action problem in a large population
- 18:09with voluntary contributions
- 18:11public goods become arbitrarily
- 18:13underprovided
- 18:15so
- 18:15what exactly uh do we
- 18:18mean
- 18:19uh by a public good
- 18:21this was sort of an example of it but
- 18:24more broadly
- 18:26christian what's the definition of a
- 18:28public good more broadly
- 18:30um
- 18:33um so i probably won't be able to get a
- 18:35very precise yeah sorry but um
- 18:38isn't something that would be
- 18:40more like socially optimal for like a
- 18:42central government to produce because
- 18:44it's
- 18:45um generally a
- 18:48um non-rival
- 18:49what does that mean yeah um it means
- 18:52that you can't really exclude
- 18:54anyone from using it no that's not
- 18:56excludable wait but that's the other
- 18:58part yeah yeah
- 19:00and not right yes so yes that is the
- 19:02definition and non-rival means um that
- 19:05like my use of the product doesn't
- 19:06affect you exactly
- 19:08exactly
- 19:09so non-rival which i think is the most
- 19:11important part is that one person
- 19:12benefiting it from it does not preclude
- 19:14others from benefiting from it
- 19:16there's zero marginal cost of supplying
- 19:17it to other people
- 19:19non-excludable which is secondary but
- 19:21still important is that everyone
- 19:23receives the benefit regardless of
- 19:24whether they're willing to pay or not
- 19:26there's no way to exclude people or
- 19:27charge them for participation
- 19:30so examples failing the first condition
- 19:32are called congestible
- 19:34public goods
- 19:36and examples failing the second
- 19:37condition are called excludable public
- 19:39goods
- 19:40so
- 19:41intellectual property is actually a good
- 19:44example of an excludable public good
- 19:46because like if you create music for
- 19:48example there's really no marginal cost
- 19:50of other people listening to that music
- 19:52but it is often possible using copyright
- 19:55protections to exclude people from using
- 19:56it right
- 19:58now in reality exclusion can be more or
- 20:00less costly so
- 20:02in the internet age it's become more and
- 20:05more difficult to actually exclude
- 20:07people from using
- 20:09uh
- 20:11music right and eventually it may become
- 20:14a non-uh excludable good because it may
- 20:16become just too difficult to stop file
- 20:18sharing so um that's why i think
- 20:21non-rivalry is sort of the more
- 20:22fundamental condition
- 20:24however you know we had a whole lecture
- 20:26on ip right
- 20:27and we didn't call that stuff public
- 20:29goods and i think that the real reason
- 20:33the real thing that differentiates
- 20:34public goods from ip is ip is usually an
- 20:38example where we think that there is
- 20:41like a genius type person or some
- 20:43entrepreneur who has a vision about what
- 20:47needs to happen in the marketplace like
- 20:48you know uh bill gates or steve jobs
- 20:51with the iphone or whatever or there's
- 20:53some small group of people with this
- 20:55vision for the broader public whereas a
- 20:57public good is something where we think
- 20:58the information about whether it should
- 21:00be created or not or the most important
- 21:01information resides not with one
- 21:04individual but with the broader public
- 21:07and therefore it's important that we
- 21:08elicit that information from the public
- 21:11this resembles to some extent
- 21:13the distinction we were making between
- 21:15things that were driven by expertise and
- 21:17externalities and things that were
- 21:19driven more by diffuse information among
- 21:21the public and as we discussed almost
- 21:23everything is some mixture of these two
- 21:26and so these are really two categories
- 21:28into which we put things rather than a
- 21:30completely sharp dividing line
- 21:32okay but using the more traditional
- 21:34definition of public goods philip could
- 21:36you provide some examples of pure public
- 21:38goods
- 21:49yeah yeah those are good examples
- 21:51um environmental services like the air
- 21:54water
- 21:55weather
- 21:56you know climate change could affect the
- 21:58weather and that's sort of a pure public
- 22:00good the existence value of some goods
- 22:02charity
- 22:03um
- 22:05ideas often are very hard to exclude
- 22:07anyone from they just spread and uh
- 22:10everyone benefits from them
- 22:12um yeah austin so is ideas like basic
- 22:15like research yeah i think to a large
- 22:18extent basic research is basically a
- 22:19public good
- 22:21um
- 22:24uh
- 22:25i mean could you give an example of a
- 22:26congestable public good
- 22:29congestable is if it's non-violence it's
- 22:32non-exclusive you can't exclude people
- 22:35but more people using it does diminish
- 22:37its value
- 22:38um
- 22:41what bridge no
- 22:43is that big one
- 22:44yeah that i mean it depends whether
- 22:46you're able to like put guard posts on
- 22:48the bridge and charge people for getting
- 22:49onto it
- 22:51then you know
- 22:52yeah yeah
- 22:55so that's a good example
- 22:56amenities
- 23:00amenities like uh
- 23:02lakes parks
- 23:05things that are hard to keep people out
- 23:06of
- 23:07but
- 23:08which do get congested
- 23:11uh kim could you give an example of an
- 23:12excludable public good
- 23:16um
- 23:19uh yeah that's that's a good example
- 23:21another example
- 23:23would be um land reform so imagine i
- 23:27don't know if you guys know but you know
- 23:28in many developing countries
- 23:30at least during some periods there was a
- 23:33group of very wealthy people who owned a
- 23:35lot of land and they broke up the land
- 23:38and they gave it to the people who were
- 23:39tenants on that land
- 23:40now you could say that that's sort of
- 23:42like a public good because once you've
- 23:44broken up the land you might as well
- 23:45give it to all the people who are living
- 23:46on it because they know how to farm it
- 23:47better but of course you could exclude
- 23:49one of those people from that and like
- 23:51kick them off their land and so that
- 23:53that's sort of a excludable public good
- 23:56okay
- 23:57now um
- 23:59many uh yeah mike why are those lands
- 24:01not congestible
- 24:04well i mean the idea is that each late
- 24:06piece of land sort of belongs to someone
- 24:08who's been farming it for a long time so
- 24:10the value that it would give to anyone
- 24:12other than that person is very small
- 24:13okay
- 24:14that's sort of the idea okay that makes
- 24:16sense
- 24:16yeah christian i just i don't know
- 24:20an idea about the ideas does that yeah
- 24:22specify like specifically non-rival
- 24:25ideas or like the feel good ideas
- 24:26because i mean wouldn't there be a lot
- 24:28of ideas like that might give you an
- 24:29advantage in a market or some new method
- 24:31or something that's not covered by ip
- 24:34but
- 24:34yeah i mean but there are certainly
- 24:35ideas that go the opposite way where
- 24:37they're actually anti-rival
- 24:40right if everyone knows it then you yeah
- 24:42i mean like for example like most like a
- 24:45lot of pop culture is that way it
- 24:46depends whether you're a hipster or a
- 24:48preppy but if you're a preppy then then
- 24:50the more people who know the i you know
- 24:52the cultural idea the better and if
- 24:54you're a hipster it is rivalrous right
- 24:59uh you know the the famous uh
- 25:02do you guys know the famous joke about
- 25:04um
- 25:05why did the hipster burn his uh mouth
- 25:11because he tasted the soup before it was
- 25:12cool
- 25:18or how many hipsters does it take to
- 25:20screw in a light bulb
- 25:23anybody know
- 25:26it's a number you wouldn't have heard of
- 25:31um
- 25:34so
- 25:39many things
- 25:42many things rather than uh bringing
- 25:45diffuse harms
- 25:49rather than bringing different huge
- 25:50benefits people bring diffuse harms so a
- 25:53classic example of that is land takings
- 25:55so this is when the government comes in
- 25:57and they're going to build some like you
- 25:58know new uh
- 26:00shopping mall or bridge or public work
- 26:04and they need to take a bunch of land
- 26:06from people
- 26:07right in order to build that
- 26:09and
- 26:10it's only worth taking it if they can
- 26:12get the whole lot of land right because
- 26:14if they only get some subpart they're
- 26:16not really able to build the project or
- 26:17not one that says beneficial
- 26:20and so that's a public bad because
- 26:23either you take it from everyone or you
- 26:24take it from no one
- 26:26right so it either hurts all the people
- 26:28or none of them
- 26:30another example
- 26:32is
- 26:33corporate acquisitions if someone's
- 26:35coming to buy a corporation either
- 26:36everyone who currently owns the shares
- 26:38is going to lose their shares or nobody
- 26:40will because the person wants to have
- 26:41control over the whole company
- 26:43similarly if you make a settlement on a
- 26:45debt so
- 26:47where like you decide not to take the
- 26:49company into bankruptcy because
- 26:50someone's going to come and buy it out
- 26:52of bankruptcy well then everyone has to
- 26:54give up their claims on the company or
- 26:56nobody does right another example of
- 26:58this is that the federal communications
- 27:00commission has been trying to reassemble
- 27:02parts of the spectrum so that they can
- 27:04be repurposed to do ymax do you guys
- 27:06know what wimax is it's a system where
- 27:09you can blanket a whole city and wi-fi
- 27:11basically it's so like normal wi-fi is
- 27:13like a range of 30 feet this would have
- 27:15a range of like miles
- 27:16um and in order to do that you need to
- 27:19like clear out chunks of the
- 27:20electromagnetic spectrum which has been
- 27:21auctioned off to all these different
- 27:23people but you need like a coherent
- 27:24block and so you have to either get all
- 27:26of that or none of it right
- 27:28um yeah just a quick question fcc
- 27:31spectrum so when they auction off
- 27:32originally is that like a set period of
- 27:34time no it's it was an ad infinitum oh
- 27:36so that really sucks yeah
- 27:38or we're always like a 99 year lease or
- 27:40something like that you know which is
- 27:42very long relative to the length of the
- 27:44telecoms industry i mean after 99 years
- 27:46we might not even be using the
- 27:48electromagnetic spectrum anymore who
- 27:49knows right so
- 27:51are there any restrictions on water
- 27:56no i don't think there were many
- 27:57restrictions actually
- 27:59um
- 28:00so i i have a paper about this
- 28:03application in in particular
- 28:05um
- 28:07patent pools are another example of this
- 28:09so remember we talked about the
- 28:11multi-marginalization problem
- 28:13one case where i think that arises a lot
- 28:15in practice is when there's like some
- 28:17technology and there's a bunch of
- 28:19different patents that are necessary to
- 28:20make that technology work they're all
- 28:22complementary and people are really
- 28:24scared that like if they're all just
- 28:26licensing on their own it will like kill
- 28:28anyone's ability to use the technology
- 28:30because they're going to have to be
- 28:32negotiating with all these different
- 28:33people they're all going to take a cut
- 28:34the price is going to be way too hot so
- 28:36sometimes what they do is they build
- 28:37what's called a patent pool
- 28:39where they put all these things together
- 28:41and they label them all as what's called
- 28:44standard essential patents
- 28:46and that forces people to license them
- 28:49at what are called fair reasonable and
- 28:51non-discriminatory rates which makes it
- 28:54much easier to license all the things
- 28:56together to avoid the
- 28:57multi-marginalization problem but in
- 28:59order to do that you need to get all the
- 29:00technologies together which again
- 29:03is going to be one of these things
- 29:04that's going to take the tech the patent
- 29:06rights away from all the people
- 29:09polluting projects are another version
- 29:10of this where it'll hurt a few set of
- 29:13people right
- 29:15now fundamentally these aren't that
- 29:17different from externalities problems
- 29:18but there are cases where we think that
- 29:20the victim's knowledge
- 29:22about how costly it is to them might be
- 29:25really important so think about the
- 29:26example of land takings someone might
- 29:28know that this land is really valuable
- 29:29to them that this is where their
- 29:30grandparents grew up other
- 29:33people might just be you know a yuppie
- 29:35who's happy to take it as long as they
- 29:36get another uh spot right
- 29:39and so this again creates a collective
- 29:42action problem
- 29:43but now in this reverse case it's
- 29:45usually called the holdout problem
- 29:48and the idea is that everyone demands a
- 29:49large payment in order to accept the
- 29:52harm in the same way the free riders
- 29:54were making small payments because they
- 29:56didn't want to uh
- 29:58make a large contribution to the benefit
- 30:00right
- 30:00okay
- 30:02so
- 30:02um
- 30:03these problems are
- 30:05pervasive they show up in lots of areas
- 30:09of the economy
- 30:12and
- 30:13i'm going to argue that we need coercion
- 30:15in order to solve these problems in most
- 30:17cases
- 30:20but before we turn to that i want to
- 30:22consider some potential private
- 30:23solutions the most famous one is
- 30:25probably altruism people often just out
- 30:28of the goodness of their heart do public
- 30:30spirited things like giving to charity
- 30:32voting
- 30:33volunteering for military service
- 30:37and while people choose to do these
- 30:38things it's not motivated by classic
- 30:40self-interest
- 30:43culture plays an important role in
- 30:45encouraging these things
- 30:46people may want to do it in order to uh
- 30:49have the prestige like i think that
- 30:51plays an important role in many of the
- 30:52charitable foundations why rockefeller
- 30:54and vanderbilt gave stuff it also make
- 30:56can make you look good to you to a
- 30:58potential mate so if you're uh someone
- 31:02like bill gates who maybe uh had a hard
- 31:04time in his romantic relationships
- 31:07uh it could make you much more
- 31:09attractive if you're seen as being
- 31:11public spirited
- 31:15warm glow can be another important part
- 31:17of this so this is when people feel good
- 31:19about themselves for doing something
- 31:21right regardless of the actual effects
- 31:23that it has on society
- 31:25another thing is you might just be
- 31:27signaling you might be trying to show a
- 31:29potential employer that you're an honest
- 31:31person who cares about society and not
- 31:32someone who's just going to steal from
- 31:34the company right and while i think
- 31:36there's no import question that these
- 31:38things are important and help
- 31:41i also think that they often require a
- 31:43slow development of culture in order to
- 31:46embed these values in people and they're
- 31:48not don't do a very good job responding
- 31:51to exactly in a particular circumstance
- 31:54how much people
- 31:56value something because if they're all
- 31:58relying on inside of an individual's
- 32:01head how much do they think uh other
- 32:03people will respond to this yeah rishi
- 32:05generally when you
- 32:06try to work altruism into into a model
- 32:12well i think that those are usually the
- 32:14least compelling ways of doing it i
- 32:15think the more compelling ways of doing
- 32:17it are thinking about things like these
- 32:19where like you might be altruistic but
- 32:22it's sort of motivated by something else
- 32:24or those tend to be the most interesting
- 32:26models i find but yeah sometimes you do
- 32:28put it straight into the utility
- 32:29function
- 32:30uh yeah bart um
- 32:32so for a lot of these those examples
- 32:34like are essentially self-interest
- 32:37so like the slow development
- 32:39the culture towards like putting these
- 32:42sort of behaviors yeah isn't that also
- 32:44like somewhat perverse
- 32:46like you're encouraging attitudes that
- 32:49might not
- 32:50be great
- 32:52well i mean
- 32:53culture
- 32:55can be useful to overcome some of these
- 32:57problems
- 33:00it also can be perverse i mean so for
- 33:02example like around environmental issues
- 33:05there has developed this view that you
- 33:08really should by all this green stuff
- 33:10but if you look at all the green stuff
- 33:12almost all of it like nobody would be
- 33:14buying it under the optimal carbon tax
- 33:16because it's actually like way too
- 33:18expensive and like most of the stuff
- 33:19that people would actually be doing
- 33:20under the optimal carbon tax would be
- 33:23like very minor changes that are
- 33:25extremely not costly to people and that
- 33:28would account for most of the carbon
- 33:29mitigation so this stuff can easily go
- 33:31overboard right because in order to like
- 33:33get the public spirit going so it can so
- 33:36i actually think that you know the
- 33:38problem with a lot of these cultural
- 33:40ways of solving these problems is
- 33:42they're just not like very
- 33:45accurate at conveying the relevant
- 33:46information like
- 33:48to address huge widespread problems that
- 33:52have relatively simple solutions they
- 33:54can work okay
- 33:55but they're not all that good like
- 33:57staying up to date
- 33:59with
- 34:00like what's the way that a price system
- 34:02would be with like what exactly is the
- 34:04informational conditions and how much
- 34:06should i be doing of this thing exactly
- 34:08i think it's a little bit like prior to
- 34:11um like market exchange with money
- 34:14people used to have barter systems or
- 34:16even before barter they would like do
- 34:17something good for someone else and
- 34:18someone else would owe something back to
- 34:20them and so forth but it was very hard
- 34:22in that system to communicate like
- 34:23exactly how much i owed to you and like
- 34:26to trade with someone who we don't know
- 34:28and all this sort of stuff right and the
- 34:31market system by formalizing those
- 34:33systems of gift exchange made things
- 34:35work a lot better and so i think that's
- 34:37the problem with trying to solve these
- 34:40by these sort of voluntary cooperation
- 34:42the reason why states have been so
- 34:44important to the development of
- 34:45civilizations is it just gets really
- 34:47complicated trying to keep track of all
- 34:48that stuff without some centralized
- 34:50course of authority to to make all the
- 34:52stuff work yeah
- 34:54austin i remember reading like following
- 34:56september 11th
- 34:58afghanistan refused to give up the sun
- 35:00but one due to the fact that there's
- 35:01like a cultural one there yeah it says
- 35:03like you'll never give up a guest
- 35:05basically yeah
- 35:06yeah and that seems like it's very
- 35:08similar to kind of this like strong
- 35:10cultural norms yeah i mean of course
- 35:12laws
- 35:13can also get outdated right but um i
- 35:17think formal systems generally have
- 35:20proved themselves to allow interactions
- 35:22over broader ranges in more flexible
- 35:24ways than do cultural institutions
- 35:27though cultural institutions have been
- 35:29crucial
- 35:30in areas where it would be very hard for
- 35:32the law to observe things
- 35:35so they they are important as well but i
- 35:38think that the more that we're able to
- 35:40take something out of the realm of the
- 35:41cultural and into the realm of the
- 35:43formal
- 35:44the the
- 35:45broader is the possibilities for social
- 35:48development so i'm just wondering
- 35:49because like obviously that turned out
- 35:51badly for afghanistan yeah
- 35:53if there's any kind of anybody's ever
- 35:55estimated
- 35:59uh
- 36:01yeah i mean i think you have to figure
- 36:02out exactly which cultural norms you
- 36:04wanna but yeah i mean there's been some
- 36:06work on stuff like that like avner grave
- 36:08uh has worked on that and in fact we're
- 36:10having him come give a talk in february
- 36:13so
- 36:13um yeah
- 36:15i'm not sure if you mentioned it later
- 36:17but how exactly would you define foreign
- 36:22that's a very good question that's an
- 36:23excellent question um
- 36:27so the coercion is an extremely
- 36:29problematic term the reason why it's a
- 36:31very problematic term is that it's
- 36:34always relative to some status quo that
- 36:37we assume yeah uh all what coercion
- 36:40means is we can force people to
- 36:42participate
- 36:43but
- 36:45we could
- 36:46the only thing
- 36:47that was making them not participate is
- 36:49that we were protecting their property
- 36:50rights to begin with but of course it's
- 36:53not necessarily coercion to protect
- 36:55to to take away their property rights
- 36:57because
- 36:59it could be coercion just for them to
- 37:00stop us from taking away their property
- 37:02right so it's all defined relative to
- 37:04some baseline so i think really um if
- 37:08you look at it from a
- 37:10even higher level of abstraction there's
- 37:12like an implicit assumption being made
- 37:15that we're sort of in like some property
- 37:17rights regime where people make sort of
- 37:20like linear pricing transactions with
- 37:22one another and it's coercion relative
- 37:25to that baseline but i think that like
- 37:28i mean one thing that we're going to
- 37:29sort of come to is that that like linear
- 37:32pricing with property rights baseline is
- 37:34sort of like not the right way to be
- 37:36thinking about these situations
- 37:38so in that sense we need coercion we
- 37:40really need some fundamental deviation
- 37:43from linear pricing in some sense
- 37:46so i mean that's getting to a very very
- 37:48high level of abstraction but
- 37:51does that make sense
- 37:52yeah
- 37:54okay
- 37:55so um
- 37:56if
- 37:57uh
- 37:59public goods and bads are local enough
- 38:02and it's easy for people to move
- 38:05then people can just move to the place
- 38:06where a lot of public goods are provided
- 38:09well and this is called tibu competition
- 38:14where local areas compete to attract
- 38:17uh people
- 38:18and i think this is quite important for
- 38:20many local public services such as
- 38:22street cleaning
- 38:23schools police fire etc but it depends
- 38:27crucially on people being able to move
- 38:29uh to the best area cheaply and in
- 38:32particular on the value of the good to
- 38:34them being independent of their location
- 38:36so you have to be willing to like move
- 38:38from where you've grown up where all
- 38:39your friends are to wherever happens to
- 38:41provide the best public goods which most
- 38:43people aren't willing to do
- 38:45and effectively this makes things
- 38:47both excludable and rival because in any
- 38:50particular area those things will tend
- 38:52to get congested and you can keep
- 38:53someone from moving to the area so what
- 38:56this says is that you know some things
- 38:57that might appear to be public goods
- 38:59maybe aren't that public goods at least
- 39:01if people aren't too committed to the
- 39:03particular location where they're living
- 39:05and that what makes something really
- 39:07subject to being public goods is someone
- 39:08who's sort of stuck there or they've got
- 39:10some value of being there in particular
- 39:12right
- 39:13um so i don't think that this sort of
- 39:15competition is a real solution to the
- 39:17public goods problem but it does put
- 39:18some bounds on how bad it can get before
- 39:21people will up and leave
- 39:24okay now the most famous solution to the
- 39:27public goods problem private solution
- 39:30came from two swedes uh
- 39:32uh eric lindahl and knute vixel
- 39:35and they uh imagined that we were trying
- 39:37to build some big project imagine it's
- 39:40just a binary decision yes or no are we
- 39:42going to build this project
- 39:46and i'm going to focus mostly on this
- 39:48case for public goods from now on and
- 39:50imagine each citizen gets some value vi
- 39:53from the project being built and the
- 39:56cost of building it is capital c
- 39:59so the solution they proposed was to ask
- 40:01each person
- 40:03to pay a share s i
- 40:05uh which is equal to their share of the
- 40:08total value
- 40:10and
- 40:12if you do that
- 40:13then
- 40:15note that
- 40:17if
- 40:18the total value of the project is
- 40:20greater than its cost that is it's
- 40:22efficient
- 40:23then everyone will find the value
- 40:27their own value to be greater than their
- 40:29share of the cost
- 40:31so they proposed a mechanism
- 40:33in which everyone if everyone agrees and
- 40:36the project gets built oh yeah mike um
- 40:39sorry what does capital b
- 40:41oh sorry capital v is the sum of all the
- 40:43values okay
- 40:45um if everyone agrees then the project
- 40:48is built
- 40:49and you pay your share of the cost if
- 40:51anyone disagrees the project is not
- 40:53built and nobody pays anything
- 40:55and this
- 40:57should succeed exactly when the thing is
- 40:59efficient right because everyone is
- 41:01pivotal to the decision
- 41:03and therefore they're all willing to
- 41:04make the contribution because they know
- 41:06that it won't happen
- 41:07otherwise this is called lindal pricing
- 41:09or equilibrium or vexillion unanimity
- 41:13um and in fact this was the mechanism
- 41:16that was originally the idea that turned
- 41:19into groupon
- 41:21so they were trying to fund public goods
- 41:23this way where ever where there would be
- 41:25some provision point you would put money
- 41:27in and only once it got to that point
- 41:29would your money actually be spent right
- 41:31and otherwise it would just keep
- 41:33accumulating right
- 41:34now
- 41:35um
- 41:37in practice uh i don't think that this
- 41:40would actually work
- 41:41and uh yeah tanner how is this group
- 41:45okay so this was this turned into
- 41:47groupon so initially groupon's idea was
- 41:50this
- 41:51uh for like some public goods but then
- 41:53they said oh well one public good could
- 41:55be negotiating a coupon with the things
- 41:58but then of course the like actual group
- 42:00aspect became irrelevant because once it
- 42:02was just coupons like the companies just
- 42:04didn't care whether they were giving it
- 42:05to a large group or not right
- 42:08so
- 42:08christian do you have a question um this
- 42:10might be a dangerous question yeah but
- 42:12has anyone tried to fix this like
- 42:14problem with like a vcg-esque mechanism
- 42:18well we're gonna get we're gonna get
- 42:19into that
- 42:20we'll get into that very soon
- 42:24um
- 42:27uh okay
- 42:28so
- 42:29um
- 42:30this is probably not practical for a few
- 42:34uh reasons christian wha wha why why do
- 42:36you think this look up
- 42:37why do you think that this wouldn't work
- 42:39in practice
- 42:41um well one thing like you could have to
- 42:43hold out like you said like the one guy
- 42:46that doesn't want to pay a share second
- 42:48one
- 42:48but but if everyone if we if we knew
- 42:51exactly what share of the value everyone
- 42:53had then that wouldn't be a problem
- 42:55right because people would do it if and
- 42:57only if it was efficient
- 42:59you're assuming that you know the value
- 43:00of the share exactly
- 43:03uh that that's exactly the biggest
- 43:05problem and furthermore this isn't very
- 43:07credible right imagine one person
- 43:08doesn't do it everybody else does
- 43:10wouldn't everyone just then like chip in
- 43:12and say okay i'll pay a little bit extra
- 43:14just to pay that guy's share right
- 43:16uh
- 43:17more more importantly with the issue
- 43:18christian raises that you don't know
- 43:20everyone's value exactly right
- 43:23imagine you only know people's shares
- 43:25approximately
- 43:26so that there's always some chance that
- 43:30even if it's efficient their share of
- 43:33the cost is greater than their value
- 43:36right yeah
- 43:37if v is greater c than what happens like
- 43:40for excess
- 43:42um
- 43:43like money raised well every because
- 43:46everyone will get their share of that
- 43:48excess right because they only pay their
- 43:49share of the cost not their share of the
- 43:51value
- 43:54um
- 43:56yeah dave
- 43:57wait so if their share is much is
- 44:00significant you're basically saying that
- 44:01there's a probability that the um
- 44:04their valuation is lower than their
- 44:06share
- 44:08yeah there's some probability just
- 44:10because we don't know perfectly what
- 44:11everyone's share of the total value is
- 44:14um
- 44:16and i think that this is the reason why
- 44:18it's so hard to imagine
- 44:20using this is that there's always going
- 44:22to be some chance that you've missed
- 44:24estimated somebody and that that person
- 44:27says no genuinely
- 44:28right
- 44:29um
- 44:30and we can compute what a problem this
- 44:33would cause by crunching some numbers so
- 44:35imagine that we have
- 44:37capital f being the cumulative
- 44:39distribution function of these values
- 44:40imagine everyone has equal shares so
- 44:43everyone we think is pretty much one
- 44:44over n but there's some uncertainty
- 44:47about that so then the probability that
- 44:49any individual rejects will be the cdf
- 44:52of c over n
- 44:53and the probability that any individual
- 44:55consents will be 1 minus f of c over n
- 44:58so the probability that everyone
- 45:00consents will be 1 minus f of c over n
- 45:03to the nth power
- 45:05now imagine that we have such an
- 45:07accurate estimate and this seems pretty
- 45:09unrealistic but we have such an accurate
- 45:10estimate of people's valuations that we
- 45:12can make sure there's only one chance in
- 45:14a thousand that they'll reject
- 45:16right
- 45:18so
- 45:19um even then once we have a thousand
- 45:21people there's only a 35 percent chance
- 45:23that the thing succeeds
- 45:25and with a small town
- 45:27there will be less than one in 20 000
- 45:29chance that it
- 45:30succeeds um
- 45:33so
- 45:33uh this shows what happens as the number
- 45:36of citizens grows large just the logic
- 45:39of exponentials means that it's very
- 45:41unlikely that this thing is going to
- 45:42succeed
- 45:45okay
- 45:46and that's not simply true
- 45:49of this mechanism where we make
- 45:52people take it or leave it offer like
- 45:53you have to have
- 45:55uh this fraction of the cost and you
- 45:58know you can accept or reject
- 46:00um if you start saying okay well maybe
- 46:03some people
- 46:04don't want to do exactly this much maybe
- 46:07we can allow them to say well look i'm
- 46:09willing to pay a little bit less but if
- 46:11you start doing that then people have an
- 46:13incentive to free ride right because
- 46:14everyone's gonna try to
- 46:17be the one who uh is the holdout right
- 46:21um so either way you go you're sort of
- 46:23damned right
- 46:25and this is a fundamental theorem a lot
- 46:27like corneau's theorems it's called the
- 46:29male of poster weight theorem it says if
- 46:31everyone must consent to the funding of
- 46:32a project
- 46:34and no external funds are available the
- 46:36probability of the project being
- 46:38undertaken goes to zero as n gets large
- 46:42uh what that says is that no
- 46:44private that is voluntary in self
- 46:46financing system works and again to
- 46:49florence's question that's voluntary and
- 46:51self financing relative to the set of
- 46:53things that we've sort of endowed to
- 46:55people before we
- 46:56uh do this project right
- 46:59so that's we always run in
- 47:01yeah uh
- 47:03um
- 47:04how was that related like
- 47:07i believe
- 47:10we're going to talk a lot about voting
- 47:12in just a second so let me just get
- 47:13there
- 47:14okay so um
- 47:17thus we always run into a collective
- 47:19action problem public projects
- 47:22good or bad always require collusion
- 47:25um and we did it for a binary case but
- 47:27it's more true more broadly
- 47:29and coercion can operate really in two
- 47:32ways that are quite closely related so
- 47:33well what are those two ways that it can
- 47:35operate
- 47:36so we we defined private as voluntary
- 47:39and self-financing so what are the two
- 47:41ways we could break that
- 47:42um
- 47:48yeah
- 47:49and what's how about
- 47:51how what form of coercion could break
- 47:53self-financing
- 47:54like government
- 47:57if you had some money from the outside
- 47:59right which would have to come from
- 48:00somewhere presumably from making
- 48:02somebody else pay for it right
- 48:04um
- 48:06yeah so you can make the members of the
- 48:09yeah what do you mean by making members
- 48:11of the community
- 48:13well you can force them to pay right you
- 48:16can use the coercive power of the
- 48:17government
- 48:21i mean or implicitly taxing them like
- 48:23put forcing them off their land
- 48:26right
- 48:27uh or you can raise some external funds
- 48:30uh
- 48:32but of course unless that's voluntary it
- 48:34has to come from someone so in some
- 48:36sense they're both coercive strategies
- 48:39right
- 48:41so in eminent domain um
- 48:44uh
- 48:47um
- 48:50in eminent domain how would this work in
- 48:52practice evan
- 48:54domain well
- 48:56you have the government that wants to do
- 48:58some kind of project and so it goes it
- 49:00takes evaluation of whatever it is they
- 49:02want to take using the land yeah and
- 49:04they go and make a price
- 49:05to or they offer the price of whoever it
- 49:07is they can either choose to accept it
- 49:09or a lot of times people will actually
- 49:11go to court to try and extract a higher
- 49:12price
- 49:14yeah so the government can but the
- 49:16government has the right to undermine
- 49:17the domain to force people off their
- 49:18land right yes but it also has to be
- 49:21considered like by law a fair price or
- 49:23else it's cruel unusual punishment in
- 49:24the united states well it's not cruel
- 49:26and unusual punishment but it's not just
- 49:28it's not just compensation well i think
- 49:30that i think there is a law that has to
- 49:33be considered a fair price yeah yeah
- 49:35it's called just compensation yeah so
- 49:37yeah that's the that's the
- 49:38constitutional provision if it's if it's
- 49:40ruled a fair price you have to accept it
- 49:42yeah exactly so that's one thing is that
- 49:46they can
- 49:47tax some of the beneficiaries of the
- 49:49public uh
- 49:51in the eminent domain situation
- 49:53and then they can use that to subsidize
- 49:55this fair price
- 49:57or they can just force people off of
- 49:59their land and the supreme court has
- 50:02really expanded this so that you can do
- 50:04this in a very wide range of cases
- 50:07similarly in debt and corporate
- 50:10restructuring there's usually some sort
- 50:12of voting where you can force people who
- 50:14don't want to sell their things to to
- 50:16sell them
- 50:19okay
- 50:20so
- 50:21um
- 50:25what what this has taught us is that we
- 50:27need to use some form of coercion
- 50:30in order to address
- 50:32these problems
- 50:35but of course when we use coercion you
- 50:37know we don't any longer have the
- 50:39market's
- 50:40magic decision making mechanism guiding
- 50:44the decision that we make because
- 50:45there's going to have to be some central
- 50:47coercive authority that makes the
- 50:49decision
- 50:51on
- 50:52for example when is it worth uh building
- 50:55the project or kicking people off their
- 50:56land etc
- 50:58um and this is very similar problem to
- 51:01the externalities discussion we had
- 51:03before
- 51:04and what ways did we talk about then uh
- 51:08making a decision
- 51:09about uh whether to impose
- 51:12um
- 51:13a particular uh externalities tax uh
- 51:16evan what were some of the
- 51:17uh procedures that we talked about so we
- 51:19have things like contingent evaluation
- 51:21yeah
- 51:22gross mechanism yeah
- 51:24um
- 51:29yeah that's good expertise using having
- 51:32experts assess
- 51:34yeah
- 51:35so
- 51:36uh exactly
- 51:38and uh
- 51:40these are used with sort of declining
- 51:41frequency often it's accessed by experts
- 51:44sometimes they use these crazy surveys
- 51:46and then the mechanisms that christian
- 51:48was referring to are almost never used
- 51:50right
- 51:51now um
- 51:53the
- 51:54i think the key difference
- 51:56uh here if there is any is that we are
- 51:58focusing on a case where there's like
- 51:59some binary decision to be made whereas
- 52:02there we were more focusing on like how
- 52:04high the tax should be and we think it's
- 52:06really important to get input from
- 52:07individuals so we don't think the
- 52:10expertise is going to be sufficient in
- 52:11most cases and there is a very large
- 52:14number of individuals involved now in
- 52:16these settings in practice we often use
- 52:17some form of voting to make the decision
- 52:20in particular everyone gets some weight
- 52:22and the thing is approved if
- 52:24people
- 52:25uh people's support is above some
- 52:27threshold
- 52:28okay
- 52:29so um
- 52:31let's think about how voting is as a way
- 52:33to make decisions on these issues so
- 52:35imagine that everybody
- 52:37has even shares again and has those iid
- 52:39values we talked about now we want the
- 52:41thing to pass if the sum of all the
- 52:43values is greater than the cost
- 52:45which is to say if the average value is
- 52:47greater than the
- 52:48per person cost right
- 52:50but when is it going to pass under
- 52:52voting can somebody
- 52:54tell me
- 52:55uh yes you are a majority of people have
- 52:57their value over the average value yeah
- 53:00so
- 53:01can you express that in a
- 53:03like some statistic being greater than
- 53:05the uh per person cost so like n over
- 53:08two times
- 53:12two
- 53:13okay so if the average if the
- 53:16majority has their values be above that
- 53:18what will that say about how the some
- 53:21statistic compares to the per
- 53:24person
- 53:25uh so like
- 53:26would that include the um cdf
- 53:29yeah it's related to that
- 53:31i guess
- 53:32um
- 53:34yeah i'm sorry
- 53:36anybody else uh
- 53:38uh
- 53:39yeah adam
- 53:40um
- 53:42exactly
- 53:44exactly so
- 53:45if
- 53:46the majority have vi greater than c over
- 53:48n this is the same as the median person
- 53:51having
- 53:52something that's above that right
- 53:55so this is going to be efficient if and
- 53:57only if the median person has the same
- 53:59preferences as the mean person
- 54:01and the sufficient condition for this is
- 54:03that there's a symmetric distribution of
- 54:04valuations but even in a fi when there's
- 54:07a large population in a finite
- 54:09population that's not even enough
- 54:11so
- 54:12uh ted bergstrom in 1979 used this to
- 54:15argue for an interesting tax principle
- 54:17he said that it's probably not likely
- 54:19that there that the median person
- 54:22uh is has the same value as the mean
- 54:24person because rich people tend to value
- 54:27public goods more you know they value
- 54:29having nice streets and dollar terms
- 54:31more
- 54:32and the we know that the distribution of
- 54:34income is not symmetric it's skewed to
- 54:36the right but imagine that we have
- 54:38people pay taxes that are proportional
- 54:40to their income then it might be that
- 54:42their valuation as a fraction of their
- 54:44income might be closer to being
- 54:46symmetric and so democracy might work
- 54:48better if things are funded up out of
- 54:50taxation that's proportional to income
- 54:52rather than out of a flat
- 54:54tax that everybody pays which i think is
- 54:56an interesting argument yeah more um why
- 54:59wouldn't it be efficient if the median
- 55:01were greater than the mean
- 55:03uh it would
- 55:05um it wouldn't be efficient because
- 55:07imagine that the mean were less than c
- 55:09over n
- 55:11and then the median were greater than c
- 55:13over n then you would build it even
- 55:14though it's not efficient
- 55:17so just like to generally be efficient
- 55:18it requires that
- 55:21um okay
- 55:24so um
- 55:26a sort of more broad principle of
- 55:28taxation is that if you can tax people
- 55:30in a way that sort of organizes it so
- 55:33that we know
- 55:34what part of the distribution
- 55:37corresponds to
- 55:39the mean conditional on the taxation
- 55:42then things are going to work better
- 55:43because you could always set the voting
- 55:44threshold so that it's exactly equal to
- 55:48whatever part corresponds to the mean so
- 55:50for example if you know the distribution
- 55:52is right skewed you could have a
- 55:55sub-majority rule
- 55:57for approving the thing so that you
- 55:59don't need a
- 56:00full majority if it's left skewed you
- 56:02could have a super majority rule uh in
- 56:04order to
- 56:06um
- 56:07in order to
- 56:08get something that's more efficient but
- 56:09again you need to know what quantile of
- 56:11the distribution corresponds to the mean
- 56:13in order to do that
- 56:16yeah
- 56:16everybody relates to filibusters yeah
- 56:20so would that mean that
- 56:22filibusters be like more efficient if
- 56:24you have a more extreme wing of one
- 56:26party
- 56:27yeah so if it filibusters
- 56:30are a more efficient mechanism
- 56:33then uh
- 56:36well
- 56:37and sometimes submajority rule right so
- 56:40you you want to
- 56:41have on positive votes
- 56:44uh filibuster if the people who feel
- 56:47intensely are opposed yeah
- 56:50uh and you want to have sub-majority
- 56:52rule if they're in favor
- 56:54okay you see what i mean
- 56:56so like like here's a here's a simple
- 56:58example of it like gay marriage right
- 57:01so gay marriage is an issue where like
- 57:03it's very clear there's a very small
- 57:05part of the population that's
- 57:06tremendously affected by this issue and
- 57:08that's in favor of gay marriage and
- 57:10another part of the population that
- 57:11doesn't care as much but might be in
- 57:13favor of or against so it seems very
- 57:15clear to me on like gay marriage that we
- 57:17should have not majority rule but like
- 57:19sub-majority rule to pass it or super
- 57:21majority rule to stop it you see what i
- 57:24mean because only if the rest of the
- 57:26population is overwhelmingly against it
- 57:28should we overrule the preferences of
- 57:29that minority who we know feels very
- 57:31strongly about it
- 57:34um
- 57:35okay
- 57:36so
- 57:39in addition
- 57:40to this sort of general problem that
- 57:42there can be the tyranny of the majority
- 57:44uh
- 57:46under majority
- 57:47rule
- 57:48uh there can also
- 57:50this can also create particular
- 57:52perversities when people have the
- 57:53ability to manipulate
- 57:56how much value people get out of the
- 57:58issue
- 57:59so let me
- 58:02give you
- 58:03an example
- 58:04imagine that
- 58:07we are the government or maybe a private
- 58:10person who's in league with the
- 58:12government and we want to buy out some
- 58:14land
- 58:15and imagine that we're going to make an
- 58:17offer for this land
- 58:19and then we're going to have a majority
- 58:20vote among the people who whose land is
- 58:22being taken about whether the offer they
- 58:24want to accept the offer or not and then
- 58:25everyone's going to be forced to go
- 58:26along with that
- 58:27if you were the developer adam what
- 58:29would what strategy would you follow in
- 58:31order to get the land for the lowest
- 58:32possible price well you
- 58:34if it's like uh like a 51 yeah authority
- 58:38rule then you
- 58:39just
- 58:40offered just enough to get to that like
- 58:43that 51 of people would support it and
- 58:46then like
- 58:47in particular you would target all of
- 58:49your offer at those like you'd identify
- 58:5151 of like poor people who'd be willing
- 58:53to sell for
- 58:54a little bit right you would give them
- 58:56all just enough to get them to sell and
- 58:58then you'd offer nothing to everybody
- 59:00else
- 59:01and so then you would have stolen
- 59:03at least 49 of the land probably more
- 59:06right
- 59:10yeah so that can lead to inefficient
- 59:13expropriation and under investment in
- 59:16fact
- 59:17like in general and this is the example
- 59:19of christians giving uh
- 59:22like
- 59:23democratic governments are known to like
- 59:26be prone to populism which is basically
- 59:30when you find something that like
- 59:31benefits
- 59:32like a majority of people in the
- 59:34relevant place
- 59:35and then you screw everybody else right
- 59:38even though they're benefiting less than
- 59:40everybody else is
- 59:41losing right
- 59:42um
- 59:43and
- 59:45there are tons of other examples of this
- 59:47tyranny of the majority problem
- 59:49so that are more severe than the iowa
- 59:51caucuses so one of them is you can get
- 59:55just 51 of a company
- 59:57and then you could like just sell the
- 59:59whole instruct the company to be sold to
- 1:00:02a shell company that you control
- 1:00:04right we talked about that in the theory
- 1:00:06of the firm lecture
- 1:00:08populist governments in latin america
- 1:00:11do all sorts of things that maybe
- 1:00:12benefit the majority but screw over the
- 1:00:14rest of the population and ruin the
- 1:00:15economy
- 1:00:17majoritarian governments in the middle
- 1:00:19east have recently as people have
- 1:00:21probably noticed been doing things that
- 1:00:24like really hurt minorities in those
- 1:00:26areas so like the
- 1:00:28um muslim brotherhood government in
- 1:00:30egypt
- 1:00:31was you know doing all sorts of things
- 1:00:32to oppress religious minorities which
- 1:00:35led to all sorts of instability
- 1:00:37uh a simple example
- 1:00:40is that in doodle i don't know if
- 1:00:41anyone's ever used doodle for scheduling
- 1:00:44but like it's very easy for people to
- 1:00:46like you know only check the one date
- 1:00:48that they most want to do and then maybe
- 1:00:50a bare majority does that and then
- 1:00:51there's all sorts of people who can't
- 1:00:53make that date at all who don't get
- 1:00:54included right gay marriage referenda
- 1:00:57etc right
- 1:00:58so to fix many of these problems in
- 1:01:00practice we don't actually use majority
- 1:01:03rule right
- 1:01:04what we use is some combination majority
- 1:01:07rule with all sorts of informal
- 1:01:08institutions like log rolling
- 1:01:10like i scratch your back you scratch
- 1:01:12mine uh you know lobbying the supreme
- 1:01:16court tries to protect minorities
- 1:01:18there's like checks and balances that
- 1:01:20create super majority rules etc so we
- 1:01:22have all these like we've got democracy
- 1:01:24and we're like oh that's a great idea
- 1:01:25well actually maybe not such a great
- 1:01:27idea let's put all these bandages around
- 1:01:29it in various ways right
- 1:01:31um and the problem with all of these
- 1:01:34fixes is even though maybe they're
- 1:01:35better than just simple majority rule
- 1:01:37because it would be overwhelmed by the
- 1:01:38tyranny of the majority they lead to all
- 1:01:40sorts of inefficiencies in corruption
- 1:01:42and paralysis as we've noticed uh in
- 1:01:45congress recently yeah philip do you
- 1:01:47have any evidence that like log ruling
- 1:01:49and lobbying actually fix more problems
- 1:01:51than they create no
- 1:01:54but i think they do probably
- 1:01:56uh because i think that if you
- 1:01:59like if you look at like the movie
- 1:02:00lincoln
- 1:02:01you know the 13th amendment i don't
- 1:02:03think would have passed without that
- 1:02:04sort of corruption and i think that for
- 1:02:06every example that you have of like some
- 1:02:08bad corruption you see actually i do
- 1:02:10have one sort of example they got rid of
- 1:02:12earmarks in congress a few years ago
- 1:02:15and i think congress has turned into
- 1:02:16like much worse of a disaster since they
- 1:02:18got rid of them
- 1:02:19so i think that's like one example
- 1:02:22uh yeah dick does this also tie back to
- 1:02:24our earlier discussion about when you
- 1:02:26have um
- 1:02:28because uh entities that are lobbying
- 1:02:30tend to have
- 1:02:32more income i suppose you could say um
- 1:02:35they get higher valuation out of
- 1:02:37decisions that they're more impacted by
- 1:02:39decisions yeah
- 1:02:41but on the other hand like that that
- 1:02:43leads them to like get all the influence
- 1:02:45like if you just turn it over to like a
- 1:02:46lobbying system where it just can be
- 1:02:48bought out well then that's not very
- 1:02:50efficient either but it's just then like
- 1:02:52the person who values it the most wins
- 1:02:55it so
- 1:02:56that's not a very good system either so
- 1:02:58kind of like a filler
- 1:02:59yeah exactly yeah right um how is it
- 1:03:02related to like
- 1:03:04the most familiar
- 1:03:07like uh there's a probability that it's
- 1:03:10higher observable
- 1:03:12no um
- 1:03:14voting is pretty invariant to that
- 1:03:17uh because the thing is male 1 really
- 1:03:19comes out of the absence of coercion
- 1:03:22not out of the inefficiencies associated
- 1:03:24with voting so voting is one potential
- 1:03:26solution to that but it has its own
- 1:03:27inefficiencies
- 1:03:30good question now
- 1:03:31yeah jake um with loading isn't there
- 1:03:34also the problem that there's a
- 1:03:35transaction cost to the actual accuracy
- 1:03:38itself and so that might filter out
- 1:03:40people who don't care that much about
- 1:03:41the details but might feel strong
- 1:03:45so that can actually improve things but
- 1:03:47like there's a whole culture around
- 1:03:49voting and democracy which i think
- 1:03:51encourages people not to take those
- 1:03:53votes like those costs into account and
- 1:03:55to like vote just because it's their
- 1:03:58obligation to vote because like
- 1:04:01the mechanism is not really vote if and
- 1:04:03only if it's like you know above the
- 1:04:05transactions cost to you the real
- 1:04:07mechanism is everyone should vote and
- 1:04:09even though you're not literally
- 1:04:10required to in transaction costs do
- 1:04:12filter out some people and maybe that
- 1:04:13can make it a little bit better actually
- 1:04:15um
- 1:04:16that's not sort of what
- 1:04:18people
- 1:04:19uh want you know and i guess because
- 1:04:21it's better because that means that the
- 1:04:24media person is closer
- 1:04:26to the mean yeah probably at least in
- 1:04:28some cases yeah christian isn't there
- 1:04:30actually like a paradox or some old dead
- 1:04:32guy like the voting paradox that like in
- 1:04:34a large enough society the actual
- 1:04:36benefit of your vote is basically zero
- 1:04:39yeah and so since voting does have some
- 1:04:41transactional costs i go no one should
- 1:04:43be voting yeah that's true there's a
- 1:04:45whole lot of literature about that
- 1:04:47question who's who's what's that
- 1:04:50well i mean it's a very old old idea i
- 1:04:52think condorcet first pointed that out
- 1:04:54but um
- 1:04:55but there's a lot of recent literature
- 1:04:57there's a book by mark bleis that's
- 1:04:59pretty good on this
- 1:05:01if you're interested in this
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