IDEAS home Printed from https://ideas.repec.org/p/cla/penntw/9819996a2b80f99a81bf1509ce240171.html
   My bibliography  Save this paper

Reducing Overlapping Generations Economies to Finite Economies

Author

Listed:
  • Julio Dávila

Abstract

This paper establishes an identification of stationary equilibria of an infinite-horizon economy and equilibria of a naturally related finite economy. More specifically, the connection is established, firstly, between cycles of an overlapping generations economy and the equilibria of a finite economy with a cyclical structure. Such connection is then extended to hold also when extrinsic uncertainty is introduced in the models. In order to obtain the adequate counterpart of the connection once the extrinsic uncertainty is introduced, we are lead to consider in the overlapping generations framework sunspot equilibria of a broad class, called here sunspot cycles. The previous connections between the equilibria of the two frameworks, with and without sunspots, are used to show that: a) overlapping generations economies allowing for heterogeneity across generations typically fluctuate aperiodically for arbitrarily long periods of time, while nevertheless being able to exhibit an approximate cyclical behavior during those periods and b) the presence of asymmetric information on an extrinsic uncertainty may induce continua of equilibria in finite economies.
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Julio Dávila, "undated". "Reducing Overlapping Generations Economies to Finite Economies," Penn CARESS Working Papers 9819996a2b80f99a81bf1509c, Penn Economics Department.
    • Handle: RePEc:cla:penntw:9819996a2b80f99a81bf1509ce240171
    as

    Download full text from publisher

    File URL: http://www.econ.upenn.edu/Centers/CARESS/CARESSpdf/00-08.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Julio Dávila & Piero Gottardi & Atsushi Kajii, 2007. "Local Sunspot Equilibria Reconsidered," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 31(3), pages 401-425, June.
    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. Forges, Francoise & Peck, James, 1995. "Correlated Equilibrium and Sunspot Equilibrium," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 5(1), pages 33-50, January.
    4. Debreu, Gerard, 1970. "Economies with a Finite Set of Equilibria," Econometrica, Econometric Society, vol. 38(3), pages 387-392, May.
    5. Julio Davila, 1997. "Sunspot Equilibria in Dynamics with Predetermined Variables," Post-Print halshs-00286029, HAL.
    6. Balasko Yves & Ghiglino Christian, 1995. "On the Existence of Endogenous Cycles," Journal of Economic Theory, Elsevier, vol. 67(2), pages 566-577, December.
    7. Grandmont, Jean-Michel, 1985. "On Endogenous Competitive Business Cycles," Econometrica, Econometric Society, vol. 53(5), pages 995-1045, September.
    8. 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.
    9. Cass, David & Shell, Karl, 1983. "Do Sunspots Matter?," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 193-227, April.
    10. Guesnerie, Roger, 1986. "Stationary sunspot equilibria in an N commodity world," Journal of Economic Theory, Elsevier, vol. 40(1), pages 103-127, October.
    11. Costas Azariadis & Roger Guesnerie, 1986. "Sunspots and Cycles," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 53(5), pages 725-737.
    12. 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.
    13. Barnett,William A. & Geweke,John & Shell,Karl (ed.), 1989. "Economic Complexity: Chaos, Sunspots, Bubbles, and Nonlinearity," Cambridge Books, Cambridge University Press, number 9780521355636, October.
    14. Maskin, Eric & Tirole, Jean, 1987. "Correlated equilibria and sunspots," Journal of Economic Theory, Elsevier, vol. 43(2), pages 364-373, December.
    15. Davila, J., 1999. "The Connection Between Correlated and Sunspot Equilibria Revisited," Papiers d'Economie Mathématique et Applications 1999.78, Université Panthéon-Sorbonne (Paris 1).
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Davila, Julio, 2001. "Time and Uncertainty in Overlapping Generations Economies," Journal of Economic Theory, Elsevier, vol. 100(2), pages 356-386, October.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Davila, Julio, 2001. "Time and Uncertainty in Overlapping Generations Economies," Journal of Economic Theory, Elsevier, vol. 100(2), pages 356-386, October.
    2. Chiappori, P. A. & Davila, J., 1996. "Cycles and sunspot: The Poincare-Hopf approach," Journal of Mathematical Economics, Elsevier, vol. 26(3), pages 269-284.
    3. Evans George W & Honkapohja Seppo M.S. & Marimon Ramon, 2007. "Stable Sunspot Equilibria in a Cash-in-Advance Economy," The B.E. Journal of Macroeconomics, De Gruyter, vol. 7(1), pages 1-38, January.
    4. Polemarchakis, Herakles M. & Ray, Indrajit, 2006. "Sunspots, correlation and competition," Games and Economic Behavior, Elsevier, vol. 56(1), pages 174-184, July.
    5. Davila, Julio, 2003. "Multiplicity, instability and sunspots in games," Journal of Mathematical Economics, Elsevier, vol. 39(3-4), pages 197-217, June.
    6. Chattopadhyay, Subir & Muench, Thomas J., 1999. "Sunpsots and cycles reconsidered1," Economics Letters, Elsevier, vol. 63(1), pages 67-75, April.
    7. Aloisio Araujo & Wilfredo L. Maldonado & Diogo Pinheiro & Alberto A. Pinto & Mohammad Choubdar Soltanahmadi, 2021. "Refinement of dynamic equilibrium using small random perturbations," International Journal of Economic Theory, The International Society for Economic Theory, vol. 17(3), pages 258-283, September.
    8. Krebs, Tom, 1997. "Statistical Equilibrium in One-Step Forward Looking Economic Models," Journal of Economic Theory, Elsevier, vol. 73(2), pages 365-394, April.
    9. Grandmont, Jean-Michel, 1998. "Introduction to Market Psychology and Nonlinear Endogenous Business Cycles," Journal of Economic Theory, Elsevier, vol. 80(1), pages 1-13, May.
    10. Venditti, Alain, 1998. "Indeterminacy and endogenous fluctuations in two-sector growth models with externalities," Journal of Economic Behavior & Organization, Elsevier, vol. 33(3-4), pages 521-542, January.
    11. Julio Dávila, 2008. "The rationality of expectations formation and excess volatility," Documents de travail du Centre d'Economie de la Sorbonne b08019, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    12. Evans, George W. & Honkapohja, Seppo, 2003. "Expectational stability of stationary sunspot equilibria in a forward-looking linear model," Journal of Economic Dynamics and Control, Elsevier, vol. 28(1), pages 171-181, October.
    13. Fukuda, Shin-ichi, 1998. "Sunspot equilibria and periodic cycles under idiosyncratic uncertainty," Journal of Economic Behavior & Organization, Elsevier, vol. 36(1), pages 127-138, July.
    14. Hens, Thorsten & Pilgrim, Beate, 2004. "Sunspot Equilibria and the Transfer Paradox," Discussion Papers 2004/14, Norwegian School of Economics, Department of Business and Management Science.
    15. Michener, Ronald & Ravikumar, B., 1998. "Chaotic dynamics in a cash-in-advance economy," Journal of Economic Dynamics and Control, Elsevier, vol. 22(7), pages 1117-1137, May.
    16. Calvet, Laurent E., 2001. "Incomplete Markets and Volatility," Journal of Economic Theory, Elsevier, vol. 98(2), pages 295-338, June.
    17. Thorsten Hens & Beate Pilgrim & Janos Mayer, "undated". "Existence of Sunspot Equilibria and Uniqueness of Spot Market Equilibria: The Case of Intrinsically Complete Markets," IEW - Working Papers 188, Institute for Empirical Research in Economics - University of Zurich.
    18. Rocheteau, Guillaume & Wright, Randall, 2013. "Liquidity and asset-market dynamics," Journal of Monetary Economics, Elsevier, vol. 60(2), pages 275-294.
    19. Evans, George W. & McGough, Bruce, 2005. "Stable sunspot solutions in models with predetermined variables," Journal of Economic Dynamics and Control, Elsevier, vol. 29(4), pages 601-625, April.
    20. Indrajit Ray & Sonali Gupta, 2013. "Coarse correlated equilibria in linear duopoly games," International Journal of Game Theory, Springer;Game Theory Society, vol. 42(2), pages 541-562, May.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:cla:penntw:9819996a2b80f99a81bf1509ce240171. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: David K. Levine (email available below). General contact details of provider: http://www.dklevine.com/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.