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Externalities and fundamental nonconvexities: A reconciliation of approaches to general equilibrium externality modeling and implications for decentralization

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  • Murty, Sushama

Abstract

Starrett (1972) [33] and Boyd and Conley (1997) [7] approaches to externality modeling are unified by distinguishing between producible and nonproducible public commodities. Nonconvexities are associated with detrimental producible public commodities but not with nonproducible public commodities in Boyd and Conley (1997) [7]. Disposability properties (costly or costless) imply that producible public commodities are either by-products (e.g., pollution) or joint-products (e.g., national defense). Markets fail for both beneficial and detrimental by-products. Nonconvexities imply that price-based equilibria, e.g., Pigovian tax equilibrium, may not be Pareto-efficient. Foley's (1967, 1970) [17] and [18] "public competitive equilibrium" combines price and quantity signals with a unanimity criterion and restores the equivalence between equilibrium and efficiency.

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Economic Theory.

Volume (Year): 145 (2010)
Issue (Month): 1 (January)
Pages: 331-353

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Handle: RePEc:eee:jetheo:v:145:y:2010:i:1:p:331-353

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Web page: http://www.elsevier.com/locate/inca/622869

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Keywords: Externalities Fundamental nonconvexities Clarke's normal and tangent cones Public commodities;

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References

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  1. Calsamiglia, Xavier, 1977. "Decentralized resource allocation and increasing returns," Journal of Economic Theory, Elsevier, vol. 14(2), pages 263-283, April.
  2. Hurwicz, Leonid, 1995. "What is the Coase Theorem?," Japan and the World Economy, Elsevier, vol. 7(1), pages 49-74, May.
  3. 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.
  4. Guesnerie, Roger, 1975. "Pareto Optimality in Non-Convex Economies," Econometrica, Econometric Society, vol. 43(1), pages 1-29, January.
  5. Donald J. Brown & Geoffrey M. Heal, 1978. "Equity, Efficiency and Increasing Returns," Cowles Foundation Discussion Papers 504, Cowles Foundation for Research in Economics, Yale University.
  6. Paul Beaudry & Charles Blackorby, 1998. "Taxes and Employment Subsidies in Optimal Redistribution Programs," NBER Working Papers 6355, National Bureau of Economic Research, Inc.
  7. TULKENS, Henry & SCHOUMAKER, Françoise, . "Stability analysis of an effluent charge and the 'polluters pay' principle," CORE Discussion Papers RP -224, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  8. Heal, G.M., 1997. "The Economics of Increasing Returns," Papers 97-20, Columbia - Graduate School of Business.
  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.
  10. S. Ghosal & Heracles M. Polemarchakis, 1996. "Exchange and Optimality," Cowles Foundation Discussion Papers 1133, Cowles Foundation for Research in Economics, Yale University.
  11. D. K. Foley, 1967. "Lindahl's Solution and the Core of an Economy with Public Goods," Working papers 3, Massachusetts Institute of Technology (MIT), Department of Economics.
  12. Hurwicz, Leonid, 1999. " Revisiting Externalities," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 1(2), pages 225-45.
  13. Bonnisseau, J.-M. & Cornet, B., 1988. "Existense of marginal cost pricing equilibria: the nonsmooth case," CORE Discussion Papers 1988015, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  14. Varian, Hal R., 1995. "Coase, competition, and compensation," Japan and the World Economy, Elsevier, vol. 7(1), pages 13-27, May.
  15. Conley, John P. & Smith, Stefani C., 2005. "Coasian equilibrium," Journal of Mathematical Economics, Elsevier, vol. 41(6), pages 687-704, September.
  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.
  17. 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.
  18. Murty, Sushama & Russell, R. Robert, 2010. "On modeling pollution-generating technologies," The Warwick Economics Research Paper Series (TWERPS) 931, University of Warwick, Department of Economics.
  19. Baumol, William J, 1972. "On Taxation and the Control of Externalities," American Economic Review, American Economic Association, vol. 62(3), pages 307-22, June.
  20. Guesnerie, Roger, 1979. "General statements on second best pareto optimality," Journal of Mathematical Economics, Elsevier, vol. 6(2), pages 169-194, July.
  21. 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.
  22. 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).
  23. 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.
  24. 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.
  25. Guesnerie,Roger, 1998. "A Contribution to the Pure Theory of Taxation," Cambridge Books, Cambridge University Press, number 9780521629560, October.
  26. Quinzii, Martine, 1993. "Increasing Returns and Economic Efficiency," OUP Catalogue, Oxford University Press, number 9780195065534.
  27. 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.
  28. Starrett, David A., 1972. "Fundamental nonconvexities in the theory of externalities," Journal of Economic Theory, Elsevier, vol. 4(2), pages 180-199, April.
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Citations

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Cited by:
  1. Murty, Sushama & Robert Russell, R. & Levkoff, Steven B., 2012. "On modeling pollution-generating technologies," Journal of Environmental Economics and Management, Elsevier, vol. 64(1), pages 117-135.
  2. repec:hal:journl:halshs-00367867 is not listed on IDEAS
  3. repec:hal:journl:halshs-00367859 is not listed on IDEAS
  4. Sushama Murty, 2012. "On the Theory of By-Production of Emissions," Discussion Papers 1202, Exeter University, Department of Economics.
  5. repec:hal:wpaper:halshs-00531434 is not listed on IDEAS
  6. Sushama Murty, 2012. "Microfoundations for the Environmental Kuznets Curve: Invoking By-Production, Normality and Inferiority of Emissions," Discussion Papers 1203, Exeter University, Department of Economics.

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