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Constrained inefficiency in GEI: A geometric argument

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Tirelli, Mario

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Abstract

In this paper we use global analysis to study the welfare properties of general equilibrium economies with incomplete markets (GEI). Our main result is to show that constrained Pareto optimal equilibria are contained in a submanifold of the equilibrium set. This result is explicitly derived for economies with real assets and fixed aggregate resources, of which real numéraire assets are a special case. As a by product of our analysis, we propose an original global parametrization of the equilibrium set that generalizes to incomplete markets the classical one, first, proposed by Lange [Lange, O., 1942. The foundations of welfare economics. Econometrica 10, 215-228].

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Publisher Info
Article provided by Elsevier in its journal Journal of Mathematical Economics.

Volume (Year): 44 (2008)
Issue (Month): 11 (December)
Pages: 1197-1214
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Handle: RePEc:eee:mateco:v:44:y:2008:i:11:p:1197-1214

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Keywords: General equilibrium Incomplete markets Optimality Global analysis;

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Grossman, Sanford J & Hart, Oliver D, 1979. "A Theory of Competitive Equilibrium in Stock Market Economies," Econometrica, Econometric Society, vol. 47(2), pages 293-329, March. [Downloadable!] (restricted)
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  2. Grossman, Sanford J., 1977. "A characterization of the optimality of equilibrium in incomplete markets," Journal of Economic Theory, Elsevier, vol. 15(1), pages 1-15, June. [Downloadable!] (restricted)
  3. Geanakoplos, John, 1990. "An introduction to general equilibrium with incomplete asset markets," Journal of Mathematical Economics, Elsevier, vol. 19(1-2), pages 1-38. [Downloadable!] (restricted)
  4. John Geanakoplos & Michael Magill & Martine Quinzii & J. Dreze, 1988. "Generic Inefficiency of Stock Market Equilibrium When Markets Are Incomplete," Cowles Foundation Discussion Papers 863, Cowles Foundation, Yale University. [Downloadable!]
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  5. Hart, Oliver D., 1975. "On the optimality of equilibrium when the market structure is incomplete," Journal of Economic Theory, Elsevier, vol. 11(3), pages 418-443, December. [Downloadable!] (restricted)
  6. Werner, Jan, 1991. "On Constrained Optimal Allocations with Incomplete Markets," Economic Theory, Springer, vol. 1(2), pages 205-09, April.
  7. Zhou, Yuqing, 1997. "The structure of the pseudo-equilibrium manifold in economies with incomplete markets," Journal of Mathematical Economics, Elsevier, vol. 27(1), pages 91-111, February. [Downloadable!] (restricted)
  8. Magill, Michael & Shafer, Wayne, 1991. "Incomplete markets," Handbook of Mathematical Economics, in: W. Hildenbrand & H. Sonnenschein (ed.), Handbook of Mathematical Economics, edition 1, volume 4, chapter 30, pages 1523-1614 Elsevier. [Downloadable!] (restricted)
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  1. Mario Tirelli & Sergio Turner, 2008. "A social welfare function characterizing competitive equilibria of incomplete financial markets," Working Papers 2008-10, Brown University, Department of Economics. [Downloadable!]
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