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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)

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.

Suggested Citation

  • Hens, Thorsten & Mayer, Janós & Pilgrim, Beate, 2004. "Existence of Sunspot Equilibria and Uniqueness of Spot Market Equilibria: The Case of Intrinsically Complete Markets," Discussion Papers 2004/15, Norwegian School of Economics, Department of Business and Management Science.
  • Handle: RePEc:hhs:nhhfms:2004_015
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    File URL: http://hdl.handle.net/11250/163700
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    References listed on IDEAS

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    1. Richard C. Barnett & Eric O'N. Fisher, 2002. "Comment on: "Do Sunspots Matter When Spot Market Equilibria Are Unique?"," Econometrica, Econometric Society, vol. 70(1), pages 393-396, January.
    2. Forges, Francoise & Peck, James, 1995. "Correlated Equilibrium and Sunspot Equilibrium," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 5(1), pages 33-50, January.
    3. O. Galor & H. M. Polemarchakis, 1987. "Intertemporal Equilibrium and the Transfer Paradox," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 54(1), pages 147-156.
    4. Geanakoplos, John & Heal, Geoffrey, 1983. "A geometric explanation of the transfer paradox in a stable economy," Journal of Development Economics, Elsevier, vol. 13(1-2), pages 223-236.
    5. Jeanne, Olivier & Masson, Paul, 2000. "Currency crises, sunspots and Markov-switching regimes," Journal of International Economics, Elsevier, vol. 50(2), pages 327-350, April.
    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. Cass, David & Shell, Karl, 1983. "Do Sunspots Matter?," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 193-227, April.
    8. 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.
    9. Dierker, Egbert, 1972. "Two Remarks on the Number of Equilibria of an Economy," Econometrica, Econometric Society, vol. 40(5), pages 951-953, September.
    10. 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.
    11. E. Eisenberg, 1961. "Aggregation of Utility Functions," Management Science, INFORMS, vol. 7(4), pages 337-350, July.
    12. Debreu, Gerard, 1970. "Economies with a Finite Set of Equilibria," Econometrica, Econometric Society, vol. 38(3), pages 387-392, May.
    13. Kehoe, Timothy J., 1991. "Computation and multiplicity of equilibria," Handbook of Mathematical Economics, in: W. Hildenbrand & H. Sonnenschein (ed.), Handbook of Mathematical Economics, edition 1, volume 4, chapter 38, pages 2049-2144, Elsevier.
    14. Partha Dasgupta & Douglas Gale & Oliver Hart & Eric Maskin (ed.), 1992. "Economic Analysis of Markets and Games: Essays in Honor of Frank Hahn," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262541599, April.
    15. Gollier, Christian & Pratt, John W, 1996. "Risk Vulnerability and the Tempering Effect of Background Risk," Econometrica, Econometric Society, vol. 64(5), pages 1109-1123, September.
    16. Piero Gottardi & Atsushi Kajii, 1999. "The Structure of Sunspot Equilibria: The Role of Multiplicity," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(3), pages 713-732.
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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, February.
    2. Hens, Thorsten & Pilgrim, Beate, 2004. "Sunspot Equilibria and the Transfer Paradox," Discussion Papers 2004/14, Norwegian School of Economics, Department of Business and Management Science.
    3. Bruno Frey, 2005. "‘‘Just forget it.’’ Memory distortions as bounded rationality," Mind & Society: Cognitive Studies in Economics and Social Sciences, Springer;Fondazione Rosselli, vol. 4(1), pages 13-25, June.
    4. Thorsten Hens & Beate Pilgrim, 2004. "Sunspot equilibria and the transfer paradox," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 24(3), pages 583-602, October.

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    More about this item

    Keywords

    Sunspot Equilibria; Intrinsically Complete Markets; Transfer Paradox;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium

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