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Externalities and Fundamental Nonconvexities : A Reconciliation of Approaches to General Equilibrium Externality Modelling and Implications for Decentralization

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Murty, Sushama (Department of Economics, University of Warwick)

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Abstract

By distinguishing between producible and nonproducible public goods, we are able to propose a general equilibrium model with externalities that distinguishes between and encompasses both the Starrett [1972] and Boyd and Conley [1997] type external effects. We show that while nonconvexities remain fundamental whenever the Starrett type external effects are present, these are not caused by the type discussed in Boyd and Conley. Secondly, we find that the notion of a “public competitive equilibrium” for public goods found in Foley [1967, 1970] allows a decentralized mechanism, based on both price and quantity signals, for economies with externalities, which is able to restore the equivalence between equilibrium and efficiency even in the presence of nonconvexities. This is in contrast to equilibrium notions based purely on price signals such as the Pigouvian taxes

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File URL: http://www2.warwick.ac.uk/fac/soc/economics/research/workingpapers/publications/2006/twerp_756.pdf
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Paper provided by University of Warwick, Department of Economics in its series The Warwick Economics Research Paper Series (TWERPS) with number 756.

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Length: 34 pages
Date of creation: 2006
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Handle: RePEc:wrk:warwec:756

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Related research
Keywords: externalities ; fundamental nonconvexities ; Clarke’s normal and tangent cones ; public goods;

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Find related papers by JEL classification:
D62 - Microeconomics - - Welfare Economics - - - Externalities
D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General
H41 - Public Economics - - Publicly Provided Goods - - - Public Goods

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  1. McFadden, Daniel, 1978. "Cost, Revenue, and Profit Functions," Histoy of Economic Thought Chapters, in: Fuss, Melvyn & McFadden, Daniel (ed.), Production Economics: A Dual Approach to Theory and Applications, volume 1, chapter 1 McMaster University Archive for the History of Economic Thought. [Downloadable!]
  2. Conley, John P. & Smith, Stefani C., 2005. "Coasian equilibrium," Journal of Mathematical Economics, Elsevier, vol. 41(6), pages 687-704, September. [Downloadable!] (restricted)
  3. Beaudry, Paul & Blackorby, Charles, 2006. "Taxes and Employment Subsidies in Optimal Redistribution Programs," The Warwick Economics Research Paper Series (TWERPS) 766, University of Warwick, Department of Economics. [Downloadable!]
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  4. Cornet, B., 1984. "Existence of equilibria in economies with increasing returns," CORE Discussion Papers 1984007, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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  6. S. Ghosal & H. M. Polemarchakis, 1999. "Exchange and optimality," Economic Theory, Springer, vol. 13(3), pages 629-642. [Downloadable!] (restricted)
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  7. Varian, Hal R., 1995. "Coase, competition, and compensation," Japan and the World Economy, Elsevier, vol. 7(1), pages 13-27, May. [Downloadable!] (restricted)
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  8. Khan, M Ali & Vohra, Rajiv, 1987. "An Extension of the Second Welfare Theorem to Economies with Nonconvexities and Public Goods," The Quarterly Journal of Economics, MIT Press, vol. 102(2), pages 223-41, May. [Downloadable!] (restricted)
  9. Baumol, William J & Bradford, David F, 1972. "Detrimental Externalities and Non-Convexity of the Production Set," Economica, London School of Economics and Political Science, vol. 39(154), pages 160-76, May. [Downloadable!] (restricted)
  10. David F. Bradford, 2004. "Improving on Kyoto: Greenhouse Gas Control as the Purchase of a Global Public Good," Working Papers 106, Princeton University, Department of Economics, Center for Economic Policy Studies.. [Downloadable!]
  11. 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)
  12. Tulkens, Henry & Schoumaker, Francoise, 1975. "Stability analysis of an effluent charge and the `polluters pay' principle," Journal of Public Economics, Elsevier, vol. 4(3), pages 245-269, August. [Downloadable!] (restricted)
  13. Baumol, William J, 1972. "On Taxation and the Control of Externalities," American Economic Review, American Economic Association, vol. 62(3), pages 307-22, June. [Downloadable!] (restricted)
  14. Beaudry, Paul & Blackorby, Charles & Szalay, Dezso, 2006. "Taxes and Employment Subsidies in Optimal Redistribution Programs (Revised Version)," The Warwick Economics Research Paper Series (TWERPS) 779, University of Warwick, Department of Economics. [Downloadable!]
  15. Hurwicz, Leonid, 1999. " Revisiting Externalities," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 1(2), pages 225-45. [Downloadable!] (restricted)
  16. Otani, Yoshihiko & Sicilian, Joseph, 1977. "Externalities and problems of nonconvexity and overhead costs in welfare economics," Journal of Economic Theory, Elsevier, vol. 14(2), pages 239-251, April. [Downloadable!] (restricted)
  17. Heal, G.M., 1997. "The Economics of Increasing Returns," Papers 97-20, Columbia - Graduate School of Business.
  18. 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)
  19. Beato, Paulina, 1982. "The Existence of Marginal Cost Pricing Equilibria with Increasing Returns," The Quarterly Journal of Economics, MIT Press, vol. 97(4), pages 669-88, November. [Downloadable!] (restricted)
  20. Bonnisseau, Jean-Marc & Cornet, Bernard, 1990. "Existence of Marginal Cost Pricing Equilibria: The Nonsmooth Case," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 31(3), pages 685-708, August. [Downloadable!] (restricted)
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  21. Hurwicz, Leonid, 1995. "What is the Coase Theorem?," Japan and the World Economy, Elsevier, vol. 7(1), pages 49-74, May. [Downloadable!] (restricted)
  22. Guesnerie, Roger, 1979. "General statements on second best pareto optimality," Journal of Mathematical Economics, Elsevier, vol. 6(2), pages 169-194, July. [Downloadable!] (restricted)
  23. Donald J. Brown & Geoffrey M. Heal, 1978. "Equity, Efficiency and Increasing Returns," Cowles Foundation Discussion Papers 504, Cowles Foundation, Yale University. [Downloadable!]
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