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

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Author Info
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.

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

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

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Keywords: Sunspot Equilibria; Intrinsically Complete Markets; Transfer Paradox;

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C62 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Existence and Stability Conditions of Equilibrium

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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
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  3. Forges, Francoise & Peck, James, 1995. "Correlated Equilibrium and Sunspot Equilibrium," Economic Theory, Springer, vol. 5(1), pages 33-50, January.
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  4. Gottardi, Piero & Kajii, Atsushi, 1999. "The Structure of Sunspot Equilibria: The Role of Multiplicity," Review of Economic Studies, Blackwell Publishing, vol. 66(3), pages 713-32, July. [Downloadable!] (restricted)
  5. 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. [Downloadable!] (restricted)
  6. 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. [Downloadable!] (restricted)
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  7. Cass, David & Shell, Karl, 1983. "Do Sunspots Matter?," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 193-227, April. [Downloadable!] (restricted)
  8. Debreu, Gerard, 1970. "Economies with a Finite Set of Equilibria," Econometrica, Econometric Society, vol. 38(3), pages 387-92, May. [Downloadable!] (restricted)
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  10. Galor, O & Polemarchakis, H M, 1987. "Intertemporal Equilibrium and the Transfer Paradox," Review of Economic Studies, Blackwell Publishing, vol. 54(1), pages 147-56, January. [Downloadable!] (restricted)
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  11. 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. [Downloadable!] (restricted)
  12. Dierker, Egbert, 1972. "Two Remarks on the Number of Equilibria of an Economy," Econometrica, Econometric Society, vol. 40(5), pages 951-53, September. [Downloadable!] (restricted)
  13. 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. [Downloadable!] (restricted)
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  1. Hens, Thorsten & Pilgrim, Beate, 2004. "Sunspot Equilibria and the Transfer Paradox," Discussion Papers 2004/14, Department of Finance and Management Science, Norwegian School of Economics and Business Administration. [Downloadable!]
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