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UW-Madison ECON 522 - The Coase Theorem

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Econ 522 Economics of LawOutlineSlide 2The Coase TheoremAn example of the Coase TheoremCoaseExample Coase uses: a rancher and a farmerSlide 8Example: rancher and farmerOther examples from CoaseQuoting from Coase (p. 13):Slide 12So, summing up…Slide 13Some vocabulary about bargainingSlide 16Slide 17Let’s go back to the rancher and farmerRelating Coase to general equilibrium/ first welfare theoremSlide 20Slide 20We motivated property law by looking at a game between two neighboring farmersHarold Demsetz (1967), “Toward a Theory of Property Rights”Slide 24Slide 25Friedman tells a similar story: “we owe civilization to the dogs”Slide 27Slide 28So…Slide 29Slide 31Quoting Coase…We can see the Coase Theorem as either a positive or negative resultSlide 33Up next:Econ 522Economics of LawDan QuintSpring 2010Lecture 42Last lecture, we…introduced static games, the matrix representation of payoffs, and how to find equilibriamotivated the need for property law (“anarchy is inefficient”)Today…the Coase TheoremOutline3Coase4Ronald Coase (1960), “The Problem of Social Cost”In the absence of transaction costs, if property rights are well-defined and tradeable, voluntary negotiations will lead to efficiency.So the initial allocation of rights doesn’t matter for efficiencyHowever, it does matter for distributionAnd if there are transaction costs, it may matter for efficiency tooThe Coase Theorem5Your car – worth $3,000 to you, $4,000 to meIf I start out owning the car:no reason for you to buy it, I end up with it  efficientIf you start out owning the car:clear incentive for me to buy it, I end up with it  efficientI’d rather start with it, you’d rather start with it……but either way, we get to the efficient outcomeThe key: lack of transaction costsAn example of the Coase Theorem6“In the absence of transaction costs, if property rights are well-defined and tradeable, voluntary negotiations will lead to efficiency”You want to have a party next door to my apartmentThink of “party rights” like an objectI start off with “party rights” (right to be undisturbed):You can buy them if they’re worth more to you (and your guests)You start off with party rights (right to have party):I can buy them if quiet is worth more to me than party is to youWhoever starts with them, we still get to efficiencyCoase7Example Coase uses: a rancher and a farmer8Example Coase uses: a rancher and a farmer9Three possibilities:Rancher builds fence around herd… $400Farmer builds fence around crops… $200Do nothing, live with damage… $0If expected damage = $100…If expected damage = $500…Example: rancher and farmer10Lots of examples from case lawa building that blocked air currents from turning a windmilla building which cast a shadow over the swimming pool and sunbathing area of a hotel next doora doctor next door to a confectionera chemical manufacturera house whose chimney no longer worked well after the neighbors rebuilt their house to be tallerIn each case, regardless of who is initially held liable, the parties can negotiate with each other and take whichever remedy is cheapest to fix (or endure) the situationOther examples from Coase11Judges have to decide on legal liability but this should not confuse economists about the nature of the economic problem involved.In the case of the cattle and the crops, it is true that there would be no crop damage without the cattle. It is equally true that there would be no crop damage without the crops.The doctor’s work would not have been disturbed if the confectioner had not worked his machinery; but the machinery would have disturbed no one if the doctor had not set up his consulting room in that particular place…Quoting from Coase (p. 13):12If we are to discuss the problem in terms of causation, both parties cause the damage.If we are to attain an optimum allocation of resources, it is therefore desirable that both parties should take the harmful effects into account when deciding on their course of action.It is one of the beauties of a smoothly operating pricing system that… the fall in the value of production due to the harmful effect would be a cost for both parties.Quoting from Coase (p. 13):13Coase Theorem: In the absence of transaction costs,if property rights are well-defined and tradeable,voluntary negotiations will lead to efficiency.The initial allocation of property rights therefore does not matter for achieving efficiency……although it does matter for distribution……and it may matter for efficiency if there are transaction costsSo, summing up…14Bargaining15Example from before:Your car is worth $3,000 to you, and $4,000 to meSuppose I have $10,000$10,000 is my threat pointthe payoff I can get on my own, by refusing to cooperate with youalso called reservation utility, or outside option$3,000 is your threat pointAny outcome we both agree to must make us both at least as well-off as our threat pointSome vocabulary about bargaining16If I don’t buy the car from you…my payoff is 10,000 (my threat point)your payoff is 3,000combined payoffs are 13,000If I buy the car for some price Pmy payoff is 4,000 + 10,000 – P = 14,000 – Pyour payoff is Pcombined payoffs are 14,000 – P + P = 14,000$1,000 are the gains from trade (or gains from cooperation)no trade  combined payoffs of $13,000I buy car  combined payoffs of $14,000if we cooperate, our combined payoffs increase by $1,000Some vocabulary about bargaining17Threat points: 10,000 and 3,000Gains from cooperation: 1,000If gains from cooperation were divided equally…we’d each get 500 more than threat pointmy payoff would be 10,500, yours 3,500Which means P = $3,500(Coase doesn’t say gains will be divided equally, just that they’ll be divided in some way)Some vocabulary about bargaining18Cows do $500 damage; fence around herd costs $400; fence around crops costs $200Let’s go back to the rancher and farmer-200-200Combined Payoffs100-200Farmer’s Payoff-3000Rancher’s Payoff (IF…)2000Gains From Cooperation0-200Farmer’s Threat Point-4000Rancher’s Threat PointFarmer’s RightsRancher’s Rights19General equilibriumgiven prices, consumers maximize utilitygiven prices, firms maximize profitsprices are such that all markets


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UW-Madison ECON 522 - The Coase Theorem

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