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Multiplicity of Equilibria

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Author Info

  • Christian Ghiglino

    (Cornell University)

  • Mich Tvede

    (Insitute of Economics, University of Copenhagen)

Abstract

A pure exchange, general equilibrium model is considered and the equilibrium set is studied. It is shown for all total endowments and an open and dense set of preferences that if there arel2 commodities andm2 consumers then there exists a set of distributions of endowments with nonempty interior such that the associated economies have at leastl-1+min{l, m} equilibria forl+min{l, m} even and at leastl-2+min{l, m} equilibria forl+min{l, m} odd.

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Bibliographic Info

Paper provided by University of Copenhagen. Department of Economics in its series Discussion Papers with number 96-17.

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Length: 15 pages
Date of creation: Dec 1996
Date of revision:
Publication status: Published in: Journal of Economic Theory, 1997, 75(1) pp 1-15
Handle: RePEc:kud:kuiedp:9617

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Keywords: general equilibrium; multiplicity of equilibria;

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References

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  1. Christian Ghiglino & Mich Tvede, 1993. "Endowments, Stability and Fluctuations in OG Models," Research Papers by the Department of Economics, University of Geneva 93.04, Département des Sciences Économiques, Université de Genève.
  2. Spear, Stephen E. & Srivastava, Sanjay & Woodford, Michael, 1990. "Indeterminacy of stationary equilibrium in stochastic overlapping generations models," Journal of Economic Theory, Elsevier, vol. 50(2), pages 265-284, April.
  3. Balasko, Yves & Cass, David & Shell, Karl, 1995. "Market Participation and Sunspot Equilibria," Review of Economic Studies, Wiley Blackwell, vol. 62(3), pages 491-512, July.
  4. Mantel, Rolf R., 1974. "On the characterization of aggregate excess demand," Journal of Economic Theory, Elsevier, vol. 7(3), pages 348-353, March.
  5. T. J. Kehoe & D. K. Levine, 1982. "Comparative Statics and Perfect Foresight in Infinite Horizon Economies," Working papers 312, Massachusetts Institute of Technology (MIT), Department of Economics.
  6. Debreu, Gerard, 1974. "Excess demand functions," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 15-21, March.
  7. Sonnenschein, Hugo, 1973. "Do Walras' identity and continuity characterize the class of community excess demand functions?," Journal of Economic Theory, Elsevier, vol. 6(4), pages 345-354, August.
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Cited by:
  1. Ghiglino, Christian, 2002. "Introduction to a General Equilibrium Approach to Economic Growth," Journal of Economic Theory, Elsevier, vol. 105(1), pages 1-17, July.

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