ECON6021: Externality, Public Goods, Property Rights

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1 ECON6021: Externality, Public Goods, Property Rights Externalities (based on Chapter 17, Frank) Externality An externality (or spillover) is a cost or benefit arising from an economic activity that falls on people who do not participate in that activity. Disposal of chemical wastes in a river (negative production externality) Proving a mathematical theorem (positive production externality) Consumption of Liquor (negative consumption externality) Consumption of education (positive consumption externality) How effective do the private resolve the problem of externalities Consider a doctor whose ability to examine patients is disrupted by the noise of machinery operated by a confectioner (candy maker) in an adjacent building. Historically, the economic and legal view is simple and clear: the confectioner s noise is harming the doctor and should be restrained. Challenge by Coase (1960): The f ti i d h th The Coase Theorem Suppose the damage inflicted to the doctor is 40, while the gain the confectioner receives from operating the shop is 60. When bargaining cost is low, the same efficient outcome prevails (the confectioner will keep on operating). If confectioner is liable for his damage to the doctor, he will pay the doctor in order to harass him. If not, the confectioner will simply ignore the doctor and keep on operating. Coase theorem states that: When the parties affected by externalities can negotiate costlessly with one another, the efficient outcome results no matter how the law assigns liability for damages. (In the absence of transaction cost, ownership does not matter.)

2 Gain to the confectioner from operating w/o soundproofing: 60; soundproofing costs 20; loss to the doctor: 40; cost of negotiation: 25. legal regime outcome confectioner confectioner installs liable soundproofing at his oown cost not liable confectioner does not install soundproofing; doctor shuts down net benefit doctor confectioner total In the presence of negotiation costs, the efficient outcome (confectioner to install soundproofing) emerges only when he is made liable for noise damage. Is Coase theorem relevant? Why the Coase theorem may not work in practice? Sunk costs--the one who initiates the negotiation will have some cost sunk upfront. Transaction costs--costs of negotiating, writing and enforcing a contract. Multiple parties--the issue may involve a large number of people, and reaching an arrangement among such a large number of people is prohibitively difficult. Some applications of the Coase theorem why smoking in public is prohibited but in private is not? why protecting freedom of speech when it could be wrongly used? For a developer to build a hotel in the airspace above my land, he must first secure my permission. But the law permits commercial airliners to fly over my land without payment whenever they choose. Why this distinction? Externality and Supply Curve Supply after taking external cost into consideration Supply based on private cost only External cost per unit of output =marginal external cost quantity

3 Negative Production Externality Leads to Overproduction Price, cost, and benefit (dollars/ton of Al) SC 0 P 1 P 0 C 1 0 Point of allocative efficiency Supply when externality is taken into account Pollution cost (External cost) Competitive equilibrium D Q 1 Q 0 Quantity (tons of Aluminum) Supply when externality is not taken into account Public Policy on Externalities Government has a wide range of measures to deal with negative production externalities (e.g. chemical waste) Complete prohibition Quantity Restriction Pollution tax (Pigou tax) Marketable Permits Improvement in Pollution Abatement Technology Quantity Restriction vs Pigou Tax Suppose there are two firms A and B each releasing 600 tons of wastes into water each year. And the government wants to restrict to a total of 600 tons each year. It could restrict each firm to release up to 300 tons of waste a year. (quantity restriction) Taxes can be used to provide incentives for firms A and B to cut back on its production that creates external costs. For instance, levy a pollution tax of $20K/ton of waste. (Pigou tax) Quantity Restriction vs Pigou Tax Suppose both measures can achieve the 600 tons target. Then which is better? Most economists think that taxation is better than quantity restriction. Suppose the cost of abatement for firm A is $10K per ton and for firm B is $50K per ton. Then each reducing to 300 tons of wastes requires a total cost of $10K x $50K x 300 = $18M.

4 Quantity Restriction vs Pigou Tax Clearly, the least costly way is to let firm A do all the abatement. Total cost = $10K X 600 = $6M. To implement this outcome, the government can levy a pollution tax of $20K per ton. Then firm A will do all the abatement. Marketable Permits Besides Pigou tax, government can also issue marketable permits to all involving firms. e.g. Issue a permit to firm A and firm B, respectively, to allow each of them to release up to 300 tons of waste a year. Then firm B will buy a permit of 300 tons from firm A to release up to 600 tons of waste. Market Environmentalism!!! Issuing marketable permits requires the least information on the part of government about the industry. Currently used by the EU countries to control carbon dioxide release. Nonrivalry and Nonexcludability Part II Public Goods and Common Resources (Optional, not included in final exam; based on Ch. 18 of Frank) Non-rivalry A good is nonrival if the consumption by one person does not decrease the consumption by another Non-excludability A good is nonexcludable if it is impossible, or extremely costly, to prevent someone from benefiting from a good

5 Public Goods and Private Goods Excludable? No Yes Pure private goods Food Car House Yes Common resources Rival? Club goods No Cable television Bridge, Noncongested toll road Pure public goods Fish in the ocean Lighthouse Air National defense Congested highway Non-cong. highway Common Resource Fisheries--Many fisheries have common access such that anyone can fish and no one has a property right to a fish until it is caught. Many species have been driven to extinction. The catch of Atlantic cod fell from about 4 million tons in the mid-60s to about 1 million tons today due to overfishing. The tragedy of commons! Case: Easter Island: tragedy of commons? Easter Island is a small Pacific island over 3,200 km from the coast of Chile, with a population of 2.1k. Viewed as a major archaeological and anthropological mystery. Easter Island Enormous statues, carved from volcanic stone. Many rested on large platforms at various locations on the island largest moveable statues weigh > 80 tons the largest yet unfinished weighs ~ 270 tons

6 Easter Island the culture seemed too poor to support a large artisan class the statues were moved substantial distances; the population too small to move the larger statues the island had no trees suitable for making tools such as levers, rollers, rope and wooden sleds Conclusion: rising wealth and rising population, followed by decline. Easter Island: Brander & Taylor (1998, AER) To explain: the cyclical overshooting on Easter Island vs the monotonic behavior on the major Polynesian islands All else the same: no a priori reason to believe difference in demographics, tastes, or technology. The only variable: nature of resource. palm tree on Easter Island is a very slow-growing palm (40 to 60 years to yield fruit). It grows nowhere else in Polynesia, and probably the only palm that can live in Easter Island s relatively cool climate. Easter Island: Brander & Taylor The two most common large palms in Polynesia are the Cocos (cononut palm) and the Pritchardia (Fuji fan palm). Neither of these palms can grow on Easter Island, and both are fast-growing trees that reach fruit-growing age in approximately 7 to 10 years. Resource and population dynamics: slow regeneration Resource and population stock 0 12,000 Key parameter: resource growth rate: 0.04 Resource stock population Year (A.D.)

7 Resource and population dynamics: fast regeneration Resource and population stock 0 12,000 Key parameter: resource growth rate: 0.35 Resource stock population Year (A.D.) Near Coasian bargaining? More technical stuff Plans What predictions does the property rights approach make? Chiu (AER 1998), De Meza & Lockwood (QJE 1998), Chatterjee & Chiu (BE journals 2007) Assuming we know which asset ownership is optimal, does costless Coasian negotiation get us there? Gans (Rand 2005, unpublished 2005), Chatterjee & Chiu A set of sellers and a set of buyers To produce and consume the sellers investment require two assets called as and ab Seller s investment choice: specific or general, yielding M & m>m/2 Who will make specific investment?

8 Chatterjee & Chiu GHM game Solution concept satisfies in the core & equal split subject to outside option constraint If there is excess competition on the seller side, all (investing) seller make specific investment If there is excess competition on the buyer side, those sellers with no asset will make specific investment, other sellers make general investment Hence, results of Chiu and de Meza Lockwood generalized to a market 3 stage game: Asset ownership is given (Gans 2005a&b, Anderlini and Felli 2001,2005, Jackson and Wilkie 2005 Noncontractible investments are made Bargaining and trade (Hart & Moore 2006) Gans (2005a, b) Gans (2005a, b) An old owner wants to sell an asset : English auction Then ownership is given, and the standard GHM game is played Stage 1: noncontractible investment made Stage 2: bargaining and trade Potential buyers: A, B, O To use the asset, both A and B are indispensable; outsider is dispensable Who will win in the auction? A B O Suppose no investment is needed owner A s payoff /3 B s payoff /3 C s payoff /3 The outsider will be the winner so long as the effect of non-contractible investment (say, by A) is not large enough. Outside (inefficient) ownership prevails despite all know A-ownership is efficient.

9 Some conditions Gans (2005a,b) Suppose that the initial owner is an outside party. Then O A O π > π π ( α) O A A O B O π > π π ( β) O B B are the necessary sufficient for O-owenrship to be the unique NE outcome. O B O B-ownership is the unique NE if ( α) holds but π < π π. Similarly for A-ownership. Start with B-ownership. He will sell to A if ( β ) holds. O B B Key assumptions: No resale Bilateral payments in the selling mechanism Relaxing the first does not restore efficiency Relaxing the second does Model (use Jehiel and Moldovanu RES 1999) There are N (finite) stages in which sale and resale can take place; no discounting; If trades are bilateral, inefficient outsider ownership prevails (under more restricted conditions) If payments are multilateral, efficient A-ownership always prevails Extension: sale of shares

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