IDEAS home Printed from https://ideas.repec.org/p/crs/wpaper/97-27.html
   My bibliography  Save this paper

Expectations Formation and Stability of Large Socioeconomic Systems

Author

Listed:
  • Jean-Michel Grandmont

    (Crest)

Abstract

This paper attempts to identify some of the basic reasons why adaptive learning may or may not lead to stability and convergence to self-fulfilling expectations. It is shown that, if agents are somewhat uncertain about the local stability of the system, the learning dynamics is locally divergent. On the other hand, if agents are fairly sure of the local stability of the system, one may indeed get local stability. This 'uncertainty principle' does show up in a wide variety of contexts.
(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

  • Jean-Michel Grandmont, 1997. "Expectations Formation and Stability of Large Socioeconomic Systems," Working Papers 97-27, Center for Research in Economics and Statistics.
    • Handle: RePEc:crs:wpaper:97-27
    as

    Download full text from publisher

    File URL: http://crest.science/RePEc/wpstorage/1997-27.pdf
    File Function: Crest working paper version
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Woodford, Michael, 1990. "Learning to Believe in Sunspots," Econometrica, Econometric Society, vol. 58(2), pages 277-307, March.
    2. Marcet, Albert & Sargent, Thomas J, 1988. "The Fate of Systems with "Adaptive" Expectations," American Economic Review, American Economic Association, vol. 78(2), pages 168-172, May.
    3. Milgrom, Paul & Roberts, John, 1991. "Adaptive and sophisticated learning in normal form games," Games and Economic Behavior, Elsevier, vol. 3(1), pages 82-100, February.
    4. John C. Harsanyi & Reinhard Selten, 1988. "A General Theory of Equilibrium Selection in Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262582384, April.
    5. Cyert, Richard M & DeGroot, Morris H, 1974. "Rational Expectations and Bayesian Analysis," Journal of Political Economy, University of Chicago Press, vol. 82(3), pages 521-536, May/June.
    6. Fudenberg, Drew & Levine, David K, 1993. "Steady State Learning and Nash Equilibrium," Econometrica, Econometric Society, vol. 61(3), pages 547-573, May.
    7. Marc Nerlove, 1958. "Adaptive Expectations and Cobweb Phenomena," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 72(2), pages 227-240.
    8. Guesnerie, Roger, 1993. "Successes and failures in coordinating expectations," European Economic Review, Elsevier, vol. 37(2-3), pages 243-268, April.
    9. Feldman, Mark D, 1987. "An Example of Convergence to Rational Expectations with Heterogeneous Beliefs," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 28(3), pages 635-650, October.
    10. Gerhard SORGER, 1994. "Boundedly Rational Chaos: An Example of a Self-Fulfilling mistake," Vienna Economics Papers vie9406, University of Vienna, Department of Economics.
    11. Kalai, Ehud & Lehrer, Ehud, 1993. "Rational Learning Leads to Nash Equilibrium," Econometrica, Econometric Society, vol. 61(5), pages 1019-1045, September.
    12. Jordan, J. S., 1985. "Learning rational expectations: The finite state case," Journal of Economic Theory, Elsevier, vol. 36(2), pages 257-276, August.
    13. Fuchs, Gerard & Laroque, Guy, 1976. "Dynamics of Temporary Equilibria and Expectations," Econometrica, Econometric Society, vol. 44(6), pages 1157-1178, November.
    14. Lucas, Robert Jr., 1972. "Expectations and the neutrality of money," Journal of Economic Theory, Elsevier, vol. 4(2), pages 103-124, April.
    15. Fourgeaud, Claude & Gourieroux, Christian & Pradel, Jacqueline, 1986. "Learning Procedures and Convergence to Rationality," Econometrica, Econometric Society, vol. 54(4), pages 845-868, July.
    16. Jacob A. Mincer, 1969. "Models of Adaptive Forecasting," NBER Chapters, in: Economic Forecasts and Expectations: Analysis of Forecasting Behavior and Performance, pages 83-111, National Bureau of Economic Research, Inc.
    17. Nyarko, Yaw, 1991. "Learning in mis-specified models and the possibility of cycles," Journal of Economic Theory, Elsevier, vol. 55(2), pages 416-427, December.
    18. Kandori, Michihiro & Mailath, George J & Rob, Rafael, 1993. "Learning, Mutation, and Long Run Equilibria in Games," Econometrica, Econometric Society, vol. 61(1), pages 29-56, January.
    19. Gottfries, Nils, 1985. "Multiple Perfect Foresight Equilibriums and Convergence of Learning Processes," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 17(1), pages 111-117, February.
    20. Grandmont, Jean-Michel, 1985. "On Endogenous Competitive Business Cycles," Econometrica, Econometric Society, vol. 53(5), pages 995-1045, September.
    21. Canning, David, 1992. "Average behavior in learning models," Journal of Economic Theory, Elsevier, vol. 57(2), pages 442-472, August.
    22. Bray, Margaret, 1982. "Learning, estimation, and the stability of rational expectations," Journal of Economic Theory, Elsevier, vol. 26(2), pages 318-339, April.
    23. Grandmont, Jean-Michel & Laroque, Guy, 1986. "Stability of cycles and expectations," Journal of Economic Theory, Elsevier, vol. 40(1), pages 138-151, October.
    24. Margaret Bray & David M. Kreps, 1987. "Rational Learning and Rational Expectations," Palgrave Macmillan Books, in: George R. Feiwel (ed.), Arrow and the Ascent of Modern Economic Theory, chapter 19, pages 597-625, Palgrave Macmillan.
    25. Xavier Vives, 1993. "How Fast do Rational Agents Learn?," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 60(2), pages 329-347.
    26. Blume, Lawrence E. & Easley, David, 1984. "Rational expectations equilibrium: An alternative approach," Journal of Economic Theory, Elsevier, vol. 34(1), pages 116-129, October.
    27. Barnett,William A. & Cornet,Bernard & D'Aspremont,Claude & Gabszewicz,Jean & Mas-Colell,Andreu (ed.), 1991. "Equilibrium Theory and Applications," Cambridge Books, Cambridge University Press, number 9780521392198, October.
    28. Fuchs, Gerard, 1976. "Asymptotic stability of stationary temporary equilibria and changes in expectations," Journal of Economic Theory, Elsevier, vol. 13(2), pages 201-216, October.
    29. Barnett,William A. & Geweke,John & Shell,Karl (ed.), 1989. "Economic Complexity: Chaos, Sunspots, Bubbles, and Nonlinearity," Cambridge Books, Cambridge University Press, number 9780521355636, October.
    30. Townsend, Robert M, 1978. "Market Anticipations, Rational Expectations, and Bayesian Analysis," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 19(2), pages 481-494, June.
    31. Evans, George W & Honkapohja, Seppo, 1992. "On the Robustness of Bubbles in Linear RE Models," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 33(1), pages 1-14, February.
    32. Benassy, Jean-Pascal & Blad, Michael C., 1989. "On learning and rational expectations in an overlapping generations model," Journal of Economic Dynamics and Control, Elsevier, vol. 13(3), pages 379-400, July.
    33. Bray, Margaret M & Savin, Nathan E, 1986. "Rational Expectations Equilibria, Learning, and Model Specification," Econometrica, Econometric Society, vol. 54(5), pages 1129-1160, September.
    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. Barrell, Ray & Caporale, Guglielmo Maria & Hall, Stephen & Garratt, Anthony, 1997. "Learning about monetary union: An analysis of bounded rational learning in European labor markets," Journal of Policy Modeling, Elsevier, vol. 19(5), pages 469-489, October.
    2. Kalai, Ehud & Lehrer, Ehud, 1993. "Rational Learning Leads to Nash Equilibrium," Econometrica, Econometric Society, vol. 61(5), pages 1019-1045, September.
    3. Norman, Thomas W.L., 2015. "Learning, hypothesis testing, and rational-expectations equilibrium," Games and Economic Behavior, Elsevier, vol. 90(C), pages 93-105.
    4. Kelly, David L. & Shorish, Jamsheed, 2000. "Stability of Functional Rational Expectations Equilibria," Journal of Economic Theory, Elsevier, vol. 95(2), pages 215-250, December.
    5. Hopkins, Ed, 1999. "Learning, Matching, and Aggregation," Games and Economic Behavior, Elsevier, vol. 26(1), pages 79-110, January.
    6. Ignacio Esponda & Demian Pouzo, 2015. "Equilibrium in Misspecified Markov Decision Processes," Papers 1502.06901, arXiv.org, revised May 2016.
    7. Hall, S. G. & Garratt, A., 1995. "Model consistent learning and regime switching in the London Business School model," Economic Modelling, Elsevier, vol. 12(2), pages 87-95, April.
    8. Triebs, Thomas & Tumlinson, Justin, 2014. "Learning Capitalism The Hard Way: Evidence From Germany's Reunification," VfS Annual Conference 2014 (Hamburg): Evidence-based Economic Policy 100457, Verein für Socialpolitik / German Economic Association.
    9. Dmitri Kolyuzhnov & Anna Bogomolova, 2004. "Escape Dynamics: A Continuous Time Approximation," Econometric Society 2004 Far Eastern Meetings 557, Econometric Society.
    10. Shurojit Chatterji & Ignacio N. Lobato, 2010. "Transformations of the state variable and learning dynamics," International Journal of Economic Theory, The International Society for Economic Theory, vol. 6(4), pages 385-403, December.
    11. Ennis, Huberto M. & Keister, Todd, 2005. "Government policy and the probability of coordination failures," European Economic Review, Elsevier, vol. 49(4), pages 939-973, May.
    12. Dmitri Kolyuzhnov & Anna Bogomolova, 2004. "Escape Dynamics: A Continuous Time Approximation," Econometric Society 2004 Latin American Meetings 27, Econometric Society.
    13. Guidolin, Massimo & Timmermann, Allan, 2007. "Properties of equilibrium asset prices under alternative learning schemes," Journal of Economic Dynamics and Control, Elsevier, vol. 31(1), pages 161-217, January.
    14. Negroni, Giorgio, 2005. "Eductive expectations coordination on deterministic cycles in an economy with identical fundamentals," Journal of Economic Behavior & Organization, Elsevier, vol. 58(3), pages 420-443, November.
    15. Dmitri Kolyuzhnov & Anna Bogomolova, 2004. "Escape Dynamics: A Continuous Time Approximation," Computing in Economics and Finance 2004 190, Society for Computational Economics.
    16. Baranowski, Ryan, 2015. "Adaptive learning and monetary exchange," Journal of Economic Dynamics and Control, Elsevier, vol. 58(C), pages 1-18.
    17. Honkapohja, Seppo, 1995. "Bounded rationality in macroeconomics A review essay," Journal of Monetary Economics, Elsevier, vol. 35(3), pages 509-518, June.
    18. Huberto M. Ennis & Todd Keister, 2001. "Optimal policy with probabilistic equilibrium selection," Working Paper 01-03, Federal Reserve Bank of Richmond.
    19. Felipe Pérez, 1998. "- Private Experience In Adaptive Learning Models," Working Papers. Serie AD 1998-03, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    20. Giovanni Dosi & Mauro Napoletano & Andrea Roventini & Joseph E. Stiglitz & Tania Treibich, 2020. "Rational Heuristics? Expectations And Behaviors In Evolving Economies With Heterogeneous Interacting Agents," Economic Inquiry, Western Economic Association International, vol. 58(3), pages 1487-1516, July.

    More about this item

    JEL classification:

    • E10 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - General
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • D84 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Expectations; Speculations

    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:crs:wpaper:97-27. 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: Secretariat General (email available below). General contact details of provider: https://edirc.repec.org/data/crestfr.html .

    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.