IDEAS home Printed from https://ideas.repec.org/a/ebl/ecbull/eb-01aa0012.html
   My bibliography  Save this article

Convergence of Least Squares Learning in Self-Referential Discontinuous Stochastic Models

Author

Listed:
  • In-Koo Cho

    (University of Illinois)

Abstract

We examine the stability of rational expectations equilibria in the class of models in which the decision of the individual agent is discontinuous with respect to the state variables. Instead of rational expectations, each agent learns the unknown parameters through a recursive stochastic algorithm. If the agents the estimated value function ``rapidly'' enough, then each agent learns the true value function associated with the optimal action with probability, and almost always takes the optimal action asymptotically.

Suggested Citation

  • In-Koo Cho, 2001. "Convergence of Least Squares Learning in Self-Referential Discontinuous Stochastic Models," Economics Bulletin, AccessEcon, vol. 28(9), pages 1.
  • Handle: RePEc:ebl:ecbull:eb-01aa0012
    as

    Download full text from publisher

    File URL: http://www.accessecon.com/pubs/EB/2001/Volume28/EB-01AA0012A.pdf
    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. Mortensen, Dale & Pissarides, Christopher, 2011. "Job Creation and Job Destruction in the Theory of Unemployment," Ekonomicheskaya Politika / Economic Policy, Russian Presidential Academy of National Economy and Public Administration, vol. 1, pages 1-19.
    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. Evans, George W & Honkapohja, Seppo, 1995. "Local Convergence of Recursive Learning to Steady States and Cycles in Stochastic Nonlinear Models," Econometrica, Econometric Society, vol. 63(1), pages 195-206, January.
    5. Bray, Margaret, 1982. "Learning, estimation, and the stability of rational expectations," Journal of Economic Theory, Elsevier, vol. 26(2), pages 318-339, April.
    6. Margaret Bray, 2010. "Learning, Estimation, and the Stability of Rational Expectations," Levine's Working Paper Archive 205, David K. Levine.
    7. Hopenhayn, Hugo & Rogerson, Richard, 1993. "Job Turnover and Policy Evaluation: A General Equilibrium Analysis," Journal of Political Economy, University of Chicago Press, vol. 101(5), pages 915-938, October.
    8. Hopenhayn, Hugo A, 1992. "Entry, Exit, and Firm Dynamics in Long Run Equilibrium," Econometrica, Econometric Society, vol. 60(5), pages 1127-1150, 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. Dmitri Kolyuzhnov & Anna Bogomolova, 2004. "Escape Dynamics: A Continuous Time Approximation," Econometric Society 2004 Far Eastern Meetings 557, Econometric Society.
    3. Albert Marcet & Juan P. Nicolini, 2003. "Recurrent Hyperinflations and Learning," American Economic Review, American Economic Association, vol. 93(5), pages 1476-1498, December.
    4. Dmitri Kolyuzhnov & Anna Bogomolova, 2004. "Escape Dynamics: A Continuous Time Approximation," Econometric Society 2004 Latin American Meetings 27, Econometric Society.
    5. Dmitri Kolyuzhnov & Anna Bogomolova, 2004. "Escape Dynamics: A Continuous Time Approximation," Computing in Economics and Finance 2004 190, Society for Computational Economics.
    6. Cristina Fernández & Roberta García & Paloma Lopez-Garcia & Benedicta Marzinotto & Roberta Serafini & Juuso Vanhala & Ladislav Wintr, 2017. "Firm growth in Europe: An overview based on the COMPNET labour module," BCL working papers 107, Central Bank of Luxembourg.
    7. Kelly, David L. & Shorish, Jamsheed, 2000. "Stability of Functional Rational Expectations Equilibria," Journal of Economic Theory, Elsevier, vol. 95(2), pages 215-250, December.
    8. Jonas D. M. Fisher & Jeffrey R. Campbell, 2000. "Aggregate Employment Fluctuations with Microeconomic Asymmetries," American Economic Review, American Economic Association, vol. 90(5), pages 1323-1345, December.
    9. Felipe Pérez, 1998. "- Private Experience In Adaptive Learning Models," Working Papers. Serie AD 1998-03, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    10. 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.
    11. Lucia Foster & Cheryl Grim & John Haltiwanger, 2016. "Reallocation in the Great Recession: Cleansing or Not?," Journal of Labor Economics, University of Chicago Press, vol. 34(S1), pages 293-331.
    12. Doshchyn, Artur & Giommetti, Nicola, 2013. "Learning, Expectations, and Endogenous Business Cycles," MPRA Paper 49617, University Library of Munich, Germany.
    13. Evans, David & Evans, George W. & McGough, Bruce, 2022. "The RPEs of RBCs and other DSGEs," Journal of Economic Dynamics and Control, Elsevier, vol. 143(C).
    14. Athanasios Orphanides & John Williams, 2004. "Imperfect Knowledge, Inflation Expectations, and Monetary Policy," NBER Chapters, in: The Inflation-Targeting Debate, National Bureau of Economic Research, Inc.
    15. Damdinsuren, Erdenebulgan & Zaharieva, Anna, 2023. "Expectation formation and learning in the labour market with on-the-job search and Nash bargaining," Labour Economics, Elsevier, vol. 81(C).
    16. Hugo Hopenhayn & Julian Neira & Rish Singhania, 2022. "From Population Growth to Firm Demographics: Implications for Concentration, Entrepreneurship and the Labor Share," Econometrica, Econometric Society, vol. 90(4), pages 1879-1914, July.
    17. Lee, Yoonsoo & Mukoyama, Toshihiko, 2015. "Entry and exit of manufacturing plants over the business cycle," European Economic Review, Elsevier, vol. 77(C), pages 20-27.
    18. Thomas Norman, 2012. "Learning Within Rational-Expectations Equilibrium," Economics Series Working Papers 591, University of Oxford, Department of Economics.
    19. Chang, M. C. & Chu, C. Y. Cyrus & Lin, Kenneth S., 2000. "Initial beliefs and the global stability of least squares learning," International Review of Economics & Finance, Elsevier, vol. 9(2), pages 123-137.
    20. Eric Ghysels & Norman R. Swanson & Myles Callan, 2002. "Monetary Policy Rules with Model and Data Uncertainty," Southern Economic Journal, John Wiley & Sons, vol. 69(2), pages 239-265, October.

    More about this item

    JEL classification:

    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • D8 - Microeconomics - - Information, Knowledge, and Uncertainty

    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:ebl:ecbull:eb-01aa0012. 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: John P. Conley (email available below). General contact details of provider: .

    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.