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Constrained Inefficiency In GEI: A Geometric Argument

  • Mario Tirelli

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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Paper provided by Brown University, Department of Economics in its series Working Papers with number 2005-12.

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Date of creation: 2005
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Handle: RePEc:bro:econwp:2005-12
Contact details of provider: Postal: Department of Economics, Brown University, Providence, RI 02912

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  1. Geanakoplos, John, 1990. "An introduction to general equilibrium with incomplete asset markets," Journal of Mathematical Economics, Elsevier, vol. 19(1-2), pages 1-38.
  2. Stiglitz, Joseph E, 1982. "The Inefficiency of the Stock Market Equilibrium," Review of Economic Studies, Wiley Blackwell, vol. 49(2), pages 241-61, April.
  3. 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.
  4. 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.
  5. Werner, Jan, 1991. "On Constrained Optimal Allocations with Incomplete Markets," Economic Theory, Springer, vol. 1(2), pages 205-09, April.
  6. 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.
  7. Radner, Roy, 1972. "Existence of Equilibrium of Plans, Prices, and Price Expectations in a Sequence of Markets," Econometrica, Econometric Society, vol. 40(2), pages 289-303, March.
  8. Michael Magill & Martine Quinzii, 2010. "general equilibrium with incomplete markets," The New Palgrave Dictionary of Economics, Palgrave Macmillan.
  9. Siconolfi, P & Villanacci, A, 1991. "Real Indeterminacy in Incomplete Financial Market Economies without Aggregate Risk," Economic Theory, Springer, vol. 1(3), pages 265-76, July.
  10. Zhou, Yuqing, 1997. "Genericity Analysis on the Pseudo-Equilibrium Manifold," Journal of Economic Theory, Elsevier, vol. 73(1), pages 79-92, March.
  11. Sanford Grossman & Oliver Hart, 1978. "A theory of competitive equilibrium in stock market economies," Special Studies Papers 115, Board of Governors of the Federal Reserve System (U.S.).
  12. 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.
  13. 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.
  14. Geanakoplos, J. & Magill, M. & Quinzii, M. & Dreze, J., 1990. "Generic inefficiency of stock market equilibrium when markets are incomplete," Journal of Mathematical Economics, Elsevier, vol. 19(1-2), pages 113-151.
  15. 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.
  16. John Geanakoplos, 1997. "An Introduction to General Equilibrium with Incomplete Asset Markets," Levine's Working Paper Archive 1115, David K. Levine.
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