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

In: Essays in Dynamic General Equilibrium Theory

Author

Listed:
  • Thorsten Hens

    (University of Zurich)

  • János Mayer

    (University of Zurich)

  • Beate Pilgrim

    (Reuters AG)

Abstract

Summary 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

  • Thorsten Hens & János Mayer & Beate Pilgrim, 2005. "Existence of Sunspot Equilibria and Uniqueness of Spot Market Equilibria: The Case of Intrinsically Complete Markets," Studies in Economic Theory, in: Alessandro Citanna & John Donaldson & Herakles Polemarchakis & Paolo Siconolfi & Stephan E. Spear (ed.), Essays in Dynamic General Equilibrium Theory, pages 75-106, Springer.
  • Handle: RePEc:spr:steccp:978-3-540-27192-5_4
    DOI: 10.1007/3-540-27192-9_4
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    Cited by:

    1. Takeshi Momi, 2008. "Note on the non-existence of sunspot equilibrium," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 36(3), pages 503-513, September.
    2. Hoelle, Matthew, 2014. "The relation between sunspot effects and multiplicity in incomplete markets models with numeraire assets," Journal of Mathematical Economics, Elsevier, vol. 50(C), pages 119-127.

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