IDEAS home Printed from https://ideas.repec.org/a/eee/mateco/v42y2006i1p22-35.html
   My bibliography  Save this article

Functional sunspot equilibria

Author

Listed:
  • Chatterji, Shurojit
  • Chattopadhyay, Subir

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.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Chatterji, Shurojit & Chattopadhyay, Subir, 2006. "Functional sunspot equilibria," Journal of Mathematical Economics, Elsevier, vol. 42(1), pages 22-35, February.
    • Handle: RePEc:eee:mateco:v:42:y:2006:i:1:p:22-35
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304-4068(05)00063-7
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    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. Julio Davila, 1994. "On sunspot equilibria in overlapping generations economies," Post-Print halshs-00286031, HAL.
    3. 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.
    4. 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.
    5. Chattopadhyay, Subir & Gottardi, Piero, 1999. "Stochastic OLG Models, Market Structure, and Optimality," Journal of Economic Theory, Elsevier, vol. 89(1), pages 21-67, November.
    6. 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.
    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. 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.
    9. 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.
    10. 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.
    11. Azariadis, Costas, 1981. "Self-fulfilling prophecies," Journal of Economic Theory, Elsevier, vol. 25(3), pages 380-396, December.
    12. Costas Azariadis & Roger Guesnerie, 1986. "Sunspots and Cycles," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 53(5), pages 725-737.
    13. Grandmont, Jean-Michel, 1986. "Stabilizing competitive business cycles," Journal of Economic Theory, Elsevier, vol. 40(1), pages 57-76, October.
    14. Bloise, Gaetano, 2004. "A note on sunspot equilibrium in sequential economies," Research in Economics, Elsevier, vol. 58(1), pages 59-74, March.
    15. 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.
    Full references (including those not matched with items on IDEAS)

    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. Ohtaki, Eisei, 2014. "Tractable graphical device for analyzing stationary stochastic OLG economies," Journal of Macroeconomics, Elsevier, vol. 40(C), pages 16-26.
    2. Davila, Julio, 2001. "Time and Uncertainty in Overlapping Generations Economies," Journal of Economic Theory, Elsevier, vol. 100(2), pages 356-386, October.
    3. Shigoka, Tadashi, 1997. "On the nonstationary sunspot equilibria generated by an unbounded growth model," Japan and the World Economy, Elsevier, vol. 9(2), pages 261-277, May.
    4. 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.
    5. Bhattacharya, Joydeep & Russell, Steven, 2003. "Two-period cycles in a three-period overlapping generations model," Journal of Economic Theory, Elsevier, vol. 109(2), pages 378-401, April.
    6. Grandmont, Jean-Michel & Pintus, Patrick & de Vilder, Robin, 1998. "Capital-Labor Substitution and Competitive Nonlinear Endogenous Business Cycles," Journal of Economic Theory, Elsevier, vol. 80(1), pages 14-59, May.
    7. Chiappori, P. A. & Davila, J., 1996. "Cycles and sunspot: The Poincare-Hopf approach," Journal of Mathematical Economics, Elsevier, vol. 26(3), pages 269-284.
    8. Norman, Thomas W.L., 2015. "Learning, hypothesis testing, and rational-expectations equilibrium," Games and Economic Behavior, Elsevier, vol. 90(C), pages 93-105.
    9. 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.
    10. Michael Assous & Pedro Garcia Duarte, 2017. "Challenging Lucas: from overlapping generations to infinite-lived agent models," Working Papers, Department of Economics 2017_03, University of São Paulo (FEA-USP).
    11. Russell, Steven, 1997. ""Quasifundamental" Variation in the Price Level and the Inflation Rate," Journal of Economic Theory, Elsevier, vol. 74(1), pages 106-151, May.
    12. Kiminori Matsuyama, 1989. "Serial Correlation of Sunspot Equilibria (Rational Bubbles) in Two Popular Models of Monetary Economies," Discussion Papers 827, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    13. Eran Guse, 2004. "Learning with Heterogeneous Expectations in an Evolutionary World," Computing in Economics and Finance 2004 99, Society for Computational Economics.
    14. Evans, George W. & McGough, Bruce, 2020. "Stable near-rational sunspot equilibria," Journal of Economic Theory, Elsevier, vol. 186(C).
    15. 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.
    16. Christiano, Lawrence J. & G. Harrison, Sharon, 1999. "Chaos, sunspots and automatic stabilizers," Journal of Monetary Economics, Elsevier, vol. 44(1), pages 3-31, August.
    17. Sergey Slobodyan, 1999. "Sunspot Fluctuations: A Way Out of a Development Trap?," Computing in Economics and Finance 1999 922, Society for Computational Economics.
    18. Tvede Mich, 2009. "Fluctuations in Overlapping Generations Economies," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 9(1), pages 1-19, May.
    19. Lagos, Ricardo & Wright, Randall, 2003. "Dynamics, cycles, and sunspot equilibria in 'genuinely dynamic, fundamentally disaggregative' models of money," Journal of Economic Theory, Elsevier, vol. 109(2), pages 156-171, April.
    20. Grandmont Jean-michel, 1987. "Local bifurcations and stationary sunspots," CEPREMAP Working Papers (Couverture Orange) 8712, CEPREMAP.

    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:eee:mateco:v:42:y:2006:i:1:p:22-35. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/jmateco .

    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.