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Time and Uncertainty in Overlapping Generations Economies

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  • Julio Davila

    (CERMSEM - CEntre de Recherche en Mathématiques, Statistique et Économie Mathématique - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

Abstract

This paper shows the general reversibility of every perfect foresight equilibrium of an overlapping generations economy. It then shows and characterizes the existence of reversible sunspot equilibria in these economies as well, which seems to be at odds with our intuition about the irreversibility of a tree of events. Although the paper establishes also that such reversible stochastic equilibria constitute a negligible subset of all the equilibria of their class, their mere existence may be considered somewhat puzzling for this intuition. Journal of Economic Literature

Suggested Citation

  • Julio Davila, 2001. "Time and Uncertainty in Overlapping Generations Economies," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00286027, HAL.
  • Handle: RePEc:hal:cesptp:halshs-00286027
    DOI: 10.1006/jeth.2000.2724
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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. Chiappori, Pierre-Andre & Geoffard, Pierre-Yves & Guesnerie, Roger, 1992. "Sunspot Fluctuations around a Steady State: The Case of Multidimensional, One-Step Forward Looking Economic Models," Econometrica, Econometric Society, vol. 60(5), pages 1097-1126, September.
    3. Julio Davila, 1994. "On sunspot equilibria in overlapping generations economies," Post-Print halshs-00286031, HAL.
    4. Julio Davila, 1997. "Sunspot Equilibria in Dynamics with Predetermined Variables," Post-Print halshs-00286029, HAL.
    5. Davila, J., 1997. "On the Connection Between Correlated Equilibria and Sunspot Equilibria," ASSET - Instituto De Economia Publica 159, ASSET (Association of Southern European Economic Theorists).
    6. Gale, David, 1973. "Pure exchange equilibrium of dynamic economic models," Journal of Economic Theory, Elsevier, vol. 6(1), pages 12-36, February.
    7. Paul A. Samuelson, 1958. "An Exact Consumption-Loan Model of Interest with or without the Social Contrivance of Money," Journal of Political Economy, University of Chicago Press, vol. 66(6), pages 467-467.
    8. Balasko Yves & Ghiglino Christian, 1995. "On the Existence of Endogenous Cycles," Journal of Economic Theory, Elsevier, vol. 67(2), pages 566-577, December.
    9. Julio Dávila, "undated". "Reducing Overlapping Generations Economies to Finite Economies," Penn CARESS Working Papers 9819996a2b80f99a81bf1509c, Penn Economics Department.
    10. Chiappori, Pierre Andre & Guesnerie, Roger, 1991. "Sunspot equilibria in sequential markets models," Handbook of Mathematical Economics, in: W. Hildenbrand & H. Sonnenschein (ed.), Handbook of Mathematical Economics, edition 1, volume 4, chapter 32, pages 1683-1762, Elsevier.
    11. Cass, David & Shell, Karl, 1983. "Do Sunspots Matter?," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 193-227, April.
    12. Guesnerie, Roger, 1986. "Stationary sunspot equilibria in an N commodity world," Journal of Economic Theory, Elsevier, vol. 40(1), pages 103-127, October.
    13. Costas Azariadis & Roger Guesnerie, 1986. "Sunspots and Cycles," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 53(5), pages 725-737.
    14. Grandmont, Jean-Michel, 1986. "Stabilizing competitive business cycles," Journal of Economic Theory, Elsevier, vol. 40(1), pages 57-76, October.
    15. Jan Tuinstra & Claus Weddepohl, 1999. "On the equivalence between the overlapping-generations model and cyclical general-equilibrium models," Journal of Economics, Springer, vol. 70(2), pages 187-207, June.
    16. Barnett,William A. & Geweke,John & Shell,Karl (ed.), 1989. "Economic Complexity: Chaos, Sunspots, Bubbles, and Nonlinearity," Cambridge Books, Cambridge University Press, number 9780521355636, November.
    17. Maskin, Eric & Tirole, Jean, 1987. "Correlated equilibria and sunspots," Journal of Economic Theory, Elsevier, vol. 43(2), pages 364-373, December.
    18. Azariadis, Costas, 1981. "Self-fulfilling prophecies," Journal of Economic Theory, Elsevier, vol. 25(3), pages 380-396, December.
    19. Spear, Stephen E., 1984. "Sufficient conditions for the existence of sunspot equilibria," Journal of Economic Theory, Elsevier, vol. 34(2), pages 360-370, December.
    20. Davila, J., 1999. "The Connection Between Correlated and Sunspot Equilibria Revisited," Papiers d'Economie Mathématique et Applications 1999.78, Université Panthéon-Sorbonne (Paris 1).
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    Keywords

    overlapping generations; reversibility;

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