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Existence of Sunspot Equilibria and Uniqueness of Spot Market Equilibria: The Case of Intrinsically Complete Markets

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  • Hens, Thorsten

    ()
    (Institute for Empirical Research in Economics, University of Zurich)

  • Mayer, Janós

    ()
    (Institute for Operations Research, University of Zurich)

  • Pilgrim, Beate

    (Reuters AG, Frankfurt, Germany)

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    Abstract

    We consider economies with additively separable utility functions and give conditions for the two-agents case under which the existence of sunspot equilibria is equivalent to the occurrence of the transfer paradox. This equivalence enables us to show that sunspots cannot matter if the initial economy has a unique spot market equilibrium and there are only two commodities or if the economy has a unique equilibrium for all distributions of endowments induced by asset trade. For more than two agents the equivalence breaks and we give an example for sunspot equilibria even though the economy has a unique equilibrium for all distributions of endowments induced by asset trade.

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    Bibliographic Info

    Paper provided by Department of Business and Management Science, Norwegian School of Economics in its series Discussion Papers with number 2004/15.

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    Length: 32 pages
    Date of creation: 22 Nov 2004
    Date of revision:
    Handle: RePEc:hhs:nhhfms:2004_015

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    Postal: NHH, Department of Business and Management Science, Helleveien 30, N-5045 Bergen, Norway
    Phone: +47 55 95 92 93
    Fax: +47 55 95 96 50
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    Web page: http://www.nhh.no/en/research-faculty/department-of-business-and-management-science.aspx
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    Keywords: Sunspot Equilibria; Intrinsically Complete Markets; Transfer Paradox;

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    References

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    1. Timothy J. Kehoe, 1991. "Computation and multiplicity of equilibria," Working Papers 460, Federal Reserve Bank of Minneapolis.
    2. Dierker, Egbert, 1972. "Two Remarks on the Number of Equilibria of an Economy," Econometrica, Econometric Society, vol. 40(5), pages 951-53, September.
    3. John Geanakoplos & Geoffrey M. Heal, 1982. "A Geometric Explanation of the Transfer Paradox in a Stable Economy," Cowles Foundation Discussion Papers 651, Cowles Foundation for Research in Economics, Yale University.
    4. Debreu, Gerard, 1970. "Economies with a Finite Set of Equilibria," Econometrica, Econometric Society, vol. 38(3), pages 387-92, May.
    5. Gollier, Christian & Pratt, John W, 1996. "Risk Vulnerability and the Tempering Effect of Background Risk," Econometrica, Econometric Society, vol. 64(5), pages 1109-23, September.
    6. Forges, Francoise & Peck, James, 1995. "Correlated Equilibrium and Sunspot Equilibrium," Economic Theory, Springer, vol. 5(1), pages 33-50, January.
    7. 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.
    8. Galor, O. & Polemarchakis, H.M., 1984. "Intertemporal equilibrium and the transfor paradox," CORE Discussion Papers 1984014, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    9. Lahiri, Sajal & Raimondos, Pascalis, 1995. "Welfare effects of aid under quantitative trade restrictions," Journal of International Economics, Elsevier, vol. 39(3-4), pages 297-315, November.
    10. Gottardi, Piero & Kajii, Atsushi, 1999. "The Structure of Sunspot Equilibria: The Role of Multiplicity," Review of Economic Studies, Wiley Blackwell, vol. 66(3), pages 713-32, July.
    11. E. Eisenberg, 1961. "Aggregation of Utility Functions," Management Science, INFORMS, vol. 7(4), pages 337-350, July.
    12. Hens, Thorsten & Laitenberger, Jorg & Loffler, Andreas, 2002. "Two remarks on the uniqueness of equilibria in the CAPM," Journal of Mathematical Economics, Elsevier, vol. 37(2), pages 123-132, April.
    13. Jeanne, Olivier & Masson, Paul R, 1998. "Currency Crises, Sunspots and Markov-Switching Regimes," CEPR Discussion Papers 1990, C.E.P.R. Discussion Papers.
    14. Cass, David & Shell, Karl, 1983. "Do Sunspots Matter?," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 193-227, April.
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    Cited by:
    1. Bruno S. Frey & Simon Luechinger & Alois Stutzer, 2007. "Calculating Tragedy: Assessing The Costs Of Terrorism," Journal of Economic Surveys, Wiley Blackwell, vol. 21(1), pages 1-24, 02.
    2. Hens, Thorsten & Pilgrim, Beate, 2004. "Sunspot Equilibria and the Transfer Paradox," Discussion Papers 2004/14, Department of Business and Management Science, Norwegian School of Economics.

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