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Functional Sunspot Equilibria

Author

Listed:
  • Shurojit Chatterji

    (Centro de Investigacion Economica (CIE), Instituto Tecnologico Autonomo de Mexico (ITAM))

  • Subir Chattopadhyay

    (Universidad de Alicante, El Colegio de Mexico)

Abstract
Consider a one step forward looking self-referential model with a one dimensional state variable where the information set available to agents when they make their forecast for the next period includes the current realization of an extrinsic random process but does not include the current value of the state variable. Agents thus iterate twice on their beliefs about the law of motion of the system to generate their forecasts; this is as in models of learning and in contrast to the specification considered in the literature on sunspot equilibria where the extrinsic random process is the state variable. This paper demonstrates (and characterizes the conditions for) the existence of self-fulfilling stochastic equilibria with bounded fluctuations driven purely by extrinsic beliefs for the model described above; furthermore, the existence of these equilibria is shown to be independent of the determinacy properties of the perfect foresight dynamics of the model. (Traditional sunspot equilibria appear as a special case of the formulation of the paper). The paper indicates that the problem of multiplicity of rational expectations equilibria in these models is more severe than believed erstwhile.

Suggested Citation

  • Shurojit Chatterji & Subir Chattopadhyay, 2002. "Functional Sunspot Equilibria," Working Papers 0201, Centro de Investigacion Economica, ITAM, revised Nov 2003.
    • Handle: RePEc:cie:wpaper:0201
    as

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    References listed on IDEAS

    as
    1. Peck, James, 1988. "On the existence of sunspot equilibria in an overlapping generations model," Journal of Economic Theory, Elsevier, vol. 44(1), pages 19-42, February.
    2. Pierre-André Chiappori & Roger Guesnerie, 1993. "Rational Random Walks," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 60(4), pages 837-864.
    3. Julio Davila, 1994. "On sunspot equilibria in overlapping generations economies," Post-Print halshs-00286031, HAL.
    4. Marcet, Albert & Sargent, Thomas J., 1989. "Convergence of least squares learning mechanisms in self-referential linear stochastic models," Journal of Economic Theory, Elsevier, vol. 48(2), pages 337-368, August.
    5. Woodford, Michael, 1994. "Monetary Policy and Price Level Determinacy in a Cash-in-Advance Economy," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 4(3), pages 345-380.
    6. Chattopadhyay, Subir & Gottardi, Piero, 1999. "Stochastic OLG Models, Market Structure, and Optimality," Journal of Economic Theory, Elsevier, vol. 89(1), pages 21-67, November.
    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. Costas Azariadis & Roger Guesnerie, 1986. "Sunspots and Cycles," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 53(5), pages 725-737.
    9. Grandmont, Jean-Michel, 1986. "Stabilizing competitive business cycles," Journal of Economic Theory, Elsevier, vol. 40(1), pages 57-76, October.
    10. Rao Aiyagari, S. & Peled, Dan, 1991. "Dominant root characterization of Pareto optimality and the existence of optimal equilibria in stochastic overlapping generations models," Journal of Economic Theory, Elsevier, vol. 54(1), pages 69-83, June.
    11. Julio DÂvila, 1997. "Sunspot fluctuations in dynamics with predetermined variables," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 10(3), pages 483-495.
    12. Bloise, Gaetano, 2004. "A note on sunspot equilibrium in sequential economies," Research in Economics, Elsevier, vol. 58(1), pages 59-74, March.
    13. Michael Magill & Martine Quinzii, 2003. "Indeterminacy of equilibrium in stochastic OLG models," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 21(2), pages 435-454, March.
    14. Karl Shell & Aditya Goenka, 1997. "Robustness of sunspot equilibria," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 10(1), pages 79-98.
    15. Azariadis, Costas, 1981. "Self-fulfilling prophecies," Journal of Economic Theory, Elsevier, vol. 25(3), pages 380-396, December.
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