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Existence and efficiency of equilibrium in economics with increasing returns to scale: an exposition

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  • Antonio Villar

    (Universidad de Alicante and IVIE)

Abstract

The purpose of this paper is to offer an exposition of the results on the existence and optimality of equilibria when production sets are not assumed to be convex, in a general equilibrium framework. We aim at providing a formal and systematic account of the main results available, rather than survey the literature. Besides presenting an abstract model, where firms' behavior is described by general pricing rules, we analyze the family of Loss-free Pricing Rules (focusing on Profit Maximization, both constrained and unconstrained, and Average Cost Pricing), and the Marginal Pricing Rule and other regulation policies. Then, we discuss the efficiency problem, referring to both the first and second welfare theorems.

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Bibliographic Info

Article provided by Fundación SEPI in its journal Investigaciones Economicas.

Volume (Year): 18 (1994)
Issue (Month): 2 (May)
Pages: 205-243

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Handle: RePEc:iec:inveco:v:18:y:1994:i:2:p:205-243

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  1. Greenberg, Joseph & Shitovitz, Benyamin, 1984. "Aumann-Shapley prices as a scarf social equilibrium," Journal of Economic Theory, Elsevier, vol. 34(2), pages 380-382, December.
  2. Dierker,Egbert & Neuefeind,Wilhelm, 1987. "Quantity guided price setting," Discussion Paper Serie A 129, University of Bonn, Germany.
  3. John Roberts & Hugo Sonnenschein, 1976. "On the Foundations of the Theory of Monopolistic Competition," Discussion Papers 169, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  4. Sharkey, W W, 1979. "Existence of a Core When There Are Increasing Returns," Econometrica, Econometric Society, vol. 47(4), pages 869-76, July.
  5. Bonnisseau, Jean-Marc & Cornet, Bernard, 1988. "Existence of equilibria when firms follow bounded losses pricing rules," Journal of Mathematical Economics, Elsevier, vol. 17(2-3), pages 119-147, April.
  6. Donald J. Brown & Geoffrey M. Heal, 1983. "The Optimality of Regulated Pricing: A General Equilibrium Analysis," Cowles Foundation Discussion Papers 684, Cowles Foundation for Research in Economics, Yale University.
  7. Dehez, Pierre & Dreze, Jacques, 1988. "Distributive production sets and equilibria with increasing returns," Journal of Mathematical Economics, Elsevier, vol. 17(2-3), pages 231-248, April.
  8. Vohra, Rajiv, 1992. "Marginal Cost Pricing under Bounded Marginal Returns," Econometrica, Econometric Society, vol. 60(4), pages 859-76, July.
  9. Jouini, Elyes, 1989. "A remark on Clarke's normal cone and the marginal cost pricing rule," Journal of Mathematical Economics, Elsevier, vol. 18(1), pages 95-101, February.
  10. Dov Samet & Yair Tauman, 1981. "The Determination of Marginal-Cost Prices Under a Set of Axioms," Discussion Papers 476, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  11. Brown, Donald J. & Heal, Geoffrey M. & Ali Khan, M. & Vohra, Rajiv, 1986. "On a general existence theorem for marginal cost pricing equilibria," Journal of Economic Theory, Elsevier, vol. 38(2), pages 371-379, April.
  12. Jouini, Elyès, 1988. "A remark on Clarke's normal cone and the marginal cost pricing rule," Economics Papers from University Paris Dauphine 123456789/5649, Paris Dauphine University.
  13. BONNISSEAU, Jean-Marc & CORNET, Bernard, . "Valuation equilibrium and Pareto optimum in non-convex economies," CORE Discussion Papers RP -817, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  14. Hart, Sergiu & Mas-Colell, Andreu, 1989. "Potential, Value, and Consistency," Econometrica, Econometric Society, vol. 57(3), pages 589-614, May.
  15. Egbert Dierker, 1986. "When does marginal cost pricing lead to Pareto efficiency?," Journal of Economics, Springer, vol. 5(1), pages 41-66, December.
  16. Calsamiglia, Xavier, 1977. "Decentralized resource allocation and increasing returns," Journal of Economic Theory, Elsevier, vol. 14(2), pages 263-283, April.
  17. Kamiya, Kazuya, 1988. "Existence and uniqueness of equilibria with increasing returns," Journal of Mathematical Economics, Elsevier, vol. 17(2-3), pages 149-178, April.
  18. Silvestre, Joaquim, 1977. "General Monopolistic Equilibrium under Non-Convexities," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 18(2), pages 425-34, June.
  19. Dierker, Egbert & Guesnerie, Roger & Neuefeind, Wilhelm, 1985. "General Equilibrium When Some Firms Follow Special Pricing Rules," Econometrica, Econometric Society, vol. 53(6), pages 1369-93, November.
  20. Chipman, John S, 1970. "External Economies of Scale and Competitive Equilibrium," The Quarterly Journal of Economics, MIT Press, vol. 84(3), pages 347-85, August.
  21. Cornet, B., 1986. "The second welfare theorem in nonconvex economies," CORE Discussion Papers 1986030, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  22. Brown, Donald J., 1991. "Equilibrium analysis with non-convex technologies," Handbook of Mathematical Economics, in: W. Hildenbrand & H. Sonnenschein (ed.), Handbook of Mathematical Economics, edition 1, volume 4, chapter 36, pages 1963-1995 Elsevier.
  23. 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.
  24. Dehez, Pierre & Dreze, Jacques, 1988. "Competitive equilibria with quantity-taking producers and increasing returns to scale," Journal of Mathematical Economics, Elsevier, vol. 17(2-3), pages 209-230, April.
  25. Silvestre, Joaquim, 1978. "Increasing Returns in General Non-Competitive Analysis," Econometrica, Econometric Society, vol. 46(2), pages 397-402, March.
  26. Sharkey, William W., 1989. "Game theoretic modeling of increasing returns to scale," Games and Economic Behavior, Elsevier, vol. 1(4), pages 370-431, December.
  27. Bonnisseau, Jean-Marc, 1988. "On two existence results of equilibria in economies with increasing returns," Journal of Mathematical Economics, Elsevier, vol. 17(2-3), pages 193-207, April.
  28. 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.
  29. Villar, Antonio, 1994. "Equilibrium with Nonconvex Technologies," Economic Theory, Springer, vol. 4(4), pages 629-38, May.
  30. Moulin,Hervi, 1991. "Axioms of Cooperative Decision Making," Cambridge Books, Cambridge University Press, number 9780521424585, April.
  31. 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).
  32. Ichiishi, Tatsuro & Quinzii, Martine, 1983. "Decentralization for the Core of a Production Economy with Increasing Returns," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 24(2), pages 397-412, June.
  33. Leonard J. Mirman & Yair Tauman & Israel Zang, 1983. "Ramsey Prices, Average Cost Prices and Price Sustainability," Discussion Papers 561, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  34. Debreu,Gerard Introduction by-Name:Hildenbrand,Werner, 1986. "Mathematical Economics," Cambridge Books, Cambridge University Press, number 9780521335614, April.
  35. Vohra, Rajiv, 1988. "Optimal regulation under fixed rules for income distribution," Journal of Economic Theory, Elsevier, vol. 45(1), pages 65-84, June.
  36. Herrero, Carmen & Villar, Antonio, 1988. "General Equilibrium in a Non-linear Leontief Framework," The Manchester School of Economic & Social Studies, University of Manchester, vol. 56(2), pages 159-66, June.
  37. Benassy, Jean-Pascal, 1991. "Monopolistic competition," Handbook of Mathematical Economics, in: W. Hildenbrand & H. Sonnenschein (ed.), Handbook of Mathematical Economics, edition 1, volume 4, chapter 37, pages 1997-2045 Elsevier.
  38. Antonio Villar Notario, 1994. "Existence and optimality of social equilibrium with many convex and nonconvex firms," Working Papers. Serie AD 1994-12, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  39. Guesnerie, Roger, 1975. "Pareto Optimality in Non-Convex Economies," Econometrica, Econometric Society, vol. 43(1), pages 1-29, January.
  40. 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).
  41. Edlin, Aaron S & Epelbaum, Mario, 1993. "Two-Part Marginal Cost Pricing Equilibria with n Firms: Sufficient Conditions for Existence and Optimality," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 34(4), pages 903-22, November.
  42. Quinzii, Martine, 1982. "An existence theorem for the core of a productive economy with increasing returns," Journal of Economic Theory, Elsevier, vol. 28(1), pages 32-50, October.
  43. MacKinnon, James G., 1979. "Computing equilibria with increasing returns," European Economic Review, Elsevier, vol. 12(1), pages 1-16, February.
  44. Mas-Colell, Andreu & Silvestre, Joaquim, 1989. "Cost share equilibria: A Lindahlian approach," Journal of Economic Theory, Elsevier, vol. 47(2), pages 239-256, April.
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Cited by:
  1. Hammond, Peter J & Villar, Antonio, 1998. " Efficiency with Non-convexities: Extending the "Scandinavian Consensus" Approaches," Scandinavian Journal of Economics, Wiley Blackwell, vol. 100(1), pages 11-32, March.

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