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Constrained inefficiency in GEI: a geometric argument

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  • Mario Tirelli

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 xed aggregate resources, of which real numeraire 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, rst, proposed by Lange (1942).

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Bibliographic Info

Paper provided by Department of Economics - University Roma Tre in its series Departmental Working Papers of Economics - University 'Roma Tre' with number 0086.

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Length: 26
Date of creation: Jan 2008
Date of revision:
Handle: RePEc:rtr:wpaper:0086

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Keywords: General equilibrium; incomplete markets; optimality; global analysis;

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  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.
  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.
  3. Balasko, Yves & Cass, David, 1989. "The Structure of Financial Equilibrium with Exogenous Yields: The Case of Incomplete Markets," Econometrica, Econometric Society, vol. 57(1), pages 135-62, January.
  4. Zhou, Yuqing, 1997. "Genericity Analysis on the Pseudo-Equilibrium Manifold," Journal of Economic Theory, Elsevier, vol. 73(1), pages 79-92, March.
  5. John Geanakoplos, 1997. "An Introduction to General Equilibrium with Incomplete Asset Markets," Levine's Working Paper Archive 1115, David K. Levine.
  6. 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.
  7. Michael Magill & Martine Quinzii, 2010. "general equilibrium with incomplete markets," The New Palgrave Dictionary of Economics, Palgrave Macmillan.
  8. Geanakoplos, John, 1990. "An introduction to general equilibrium with incomplete asset markets," Journal of Mathematical Economics, Elsevier, vol. 19(1-2), pages 1-38.
  9. 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 for Research in Economics, Yale University.
  10. 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.
  11. Werner, Jan, 1991. "On Constrained Optimal Allocations with Incomplete Markets," Economic Theory, Springer, vol. 1(2), pages 205-09, April.
  12. Stiglitz, Joseph E, 1982. "The Inefficiency of the Stock Market Equilibrium," Review of Economic Studies, Wiley Blackwell, vol. 49(2), pages 241-61, April.
  13. 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.
  14. Atsushi Kajii & Antonio Villanacci & Alessandro Citanna, 1998. "Constrained suboptimality in incomplete markets: a general approach and two applications," Economic Theory, Springer, vol. 11(3), pages 495-521.
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Cited by:
  1. Tirelli, Mario & Turner, Sergio, 2010. "A social welfare function characterizing competitive equilibria of incomplete financial markets," Research in Economics, Elsevier, vol. 64(1), pages 58-65, March.

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