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Existence and Efficiency of a Price-Taking Equilibrium in an Economy with Public Goods, Externalities and Property Rights: A Coasian Approach

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Author Info
John P. Conley () (Department of Economics, Vanderbilt University)
Stefani C. Smith

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Abstract

We consider a general equilibrium economy with public goods and externalities. Following Boyd and Conley (1997), we treat externality markets directly instead of indirectly through Arrovian commodities. Because such direct externality markets are not subject to the nonconvexities that Starrett (1972) shows are fundamental to Arrow's externality markets, this new approach admits the use of largely standard methods to prove welfare and existence theorems in an economy with externalities. We extend the Boyd and Conley model to allow firms to benefit from public goods and be damaged by externalities, and to allow consumers to produce externalities. We state a first welfare theorem and prove the existence of a competitive equilibrium. Taken together, this can be viewed as a type of general equilibrium Coase Theorem. Considered as a special case, these theorems also represent a significant generalization of existing results for pure public goods economies.

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File URL: http://www.vanderbilt.edu/Econ/wparchive/workpaper/vu04-w03.pdf
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Paper provided by Department of Economics, Vanderbilt University in its series Working Papers with number 0403.

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Date of creation: Jan 2004
Date of revision: Jan 2004
Handle: RePEc:van:wpaper:0403

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Related research
Keywords: Externalities; Coase Theorem; Arrow commodities; pollution permits; property rights; Lindahl Equilibrium;

Find related papers by JEL classification:
H41 - Public Economics - - Publicly Provided Goods - - - Public Goods
H23 - Public Economics - - Taxation, Subsidies, and Revenue - - - Externalities; Redistributive Effects; Environmental Taxes and Subsidies

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  1. Hoffman Elizabeth & McCabe Kevin & Shachat Keith & Smith Vernon, 1994. "Preferences, Property Rights, and Anonymity in Bargaining Games," Games and Economic Behavior, Elsevier, vol. 7(3), pages 346-380, November. [Downloadable!] (restricted)
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  3. Starrett, David A., 1972. "Fundamental nonconvexities in the theory of externalities," Journal of Economic Theory, Elsevier, vol. 4(2), pages 180-199, April. [Downloadable!] (restricted)
  4. Khan, M. Ali & Vohra, Rajiv, 1985. "On the existence of lindahl equilibria in economies with a measure space of non-transitive consumers," Journal of Economic Theory, Elsevier, vol. 36(2), pages 319-332, August. [Downloadable!] (restricted)
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  13. Boyd, John III & Conley, John P., 1997. "Fundamental Nonconvexities in Arrovian Markets and a Coasian Solution to the Problem of Externalities," Journal of Economic Theory, Elsevier, vol. 72(2), pages 388-407, February. [Downloadable!] (restricted)
  14. Milleron, Jean-Claude, 1972. "Theory of value with public goods: A survey article," Journal of Economic Theory, Elsevier, vol. 5(3), pages 419-477, December. [Downloadable!] (restricted)
  15. Diamantaras Dimitrios & Wilkie Simon, 1994. "A Generalization of Kaneko's Ratio Equilibrium for Economies with Private and Public Goods," Journal of Economic Theory, Elsevier, vol. 62(2), pages 499-512, April. [Downloadable!] (restricted)
  16. Osana, Hiroaki, 1973. "On the Boundedness of an Economy with Externalities," Review of Economic Studies, Blackwell Publishing, vol. 40(3), pages 321-31, July. [Downloadable!] (restricted)
  17. Hurwicz, Leonid, 1995. "What is the Coase Theorem?," Japan and the World Economy, Elsevier, vol. 7(1), pages 49-74, May. [Downloadable!] (restricted)
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  20. Harrison, Glenn W & McKee, Michael, 1985. "Experimental Evaluation of the Coase Theorem," Journal of Law & Economics, University of Chicago Press, vol. 28(3), pages 653-70, October.
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