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The Structure of the Set of Sunspot Equilibria in Economies with Incomplete Financial Markets

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  • Pietra, Tito

Abstract

This paper considers the set of equilibria of two-period, sunspot economies with "S" purely extrinsic states of nature in the second period and "I" assets with linearly independent nominal payoffs. The span of the payoff matrix contains the vector [1, . . . ,1] (i.e., inside money). The set of economies is described in terms of (sunspot-invariant) utility functions. If "S" > "I" > O, there is an open, dense set of economies such that, given a vector of no arbitrage asset prices, the set of equilibrium allocations contains a smooth manifold of dimension "S"-"I". Such a manifold contains at least one nonsunspot equilibrium (and at most a finite number of such equilibria).

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  • Pietra, Tito, 1992. "The Structure of the Set of Sunspot Equilibria in Economies with Incomplete Financial Markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 2(3), pages 321-340, July.
    • Handle: RePEc:spr:joecth:v:2:y:1992:i:3:p:321-40
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    Cited by:

    1. Alessandro, CITANNA & SCHMEDDERS, Karl, 2002. "Controlling price volatility through financial innovation," HEC Research Papers Series 749, HEC Paris.
    2. M. Salto & T. Pietra, 2013. "Welfare and excess volatility of exchange rates," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 52(2), pages 501-529, March.
    3. Atsushi Kajii, 2007. "Welfare Gains And Losses In Sunspot Equilibria," The Japanese Economic Review, Japanese Economic Association, vol. 58(3), pages 329-344, September.
    4. Atsushi Kajii, "undated". ""The Sequential Regularity of Competitive Equilibria and Sunspots''," CARESS Working Papres 95-11, University of Pennsylvania Center for Analytic Research and Economics in the Social Sciences.
    5. Pietra, Tito & Siconolfi, Paolo, 1997. "Extrinsic Uncertainty and the Informational Role of Prices," Journal of Economic Theory, Elsevier, vol. 77(1), pages 154-180, November.
    6. Jean-Marc Tallon, 1995. "Théorie de l'équilibre général avec marchés financiers incomplets," Revue Économique, Programme National Persée, vol. 46(5), pages 1207-1239.
    7. Kajii, Atsushi, 1998. "Sunspots and the Sequential Regularity of Competitive Equilibria," Journal of Economic Theory, Elsevier, vol. 78(1), pages 187-194, January.
    8. Donati, Paola, 2003. "Indeterminacy of rational expectations equilibria in sequential financial markets," Working Paper Series 262, European Central Bank.

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