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Estimating Learning Models from Experimental Data

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Author Info
Antonio Cabrales
Walter Garcia Fontes ()

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Abstract

We study the statistical properties of three estimation methods for a model of learning that is often fitted to experimental data: quadratic deviation measures without unobserved heterogeneity, and maximum likelihood with and without unobserved heterogeneity. After discussing identification issues, we show that the estimators are consistent and provide their asymptotic distribution. Using Monte Carlo simulations, we show that ignoring unobserved heterogeneity can lead to seriously biased estimations in samples which have the typical length of actual experiments. Better small sample properties are obtained if unobserved heterogeneity is introduced. That is, rather than estimating the parameters for each individual, the individual parameters are considered random variables, and the distribution of those random variables is estimated.

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Publisher Info
Paper provided by Department of Economics and Business, Universitat Pompeu Fabra in its series Economics Working Papers with number 501.

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Date of creation: Sep 2000
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Handle: RePEc:upf:upfgen:501

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Related research
Keywords: Estimation methods; learning; unobserved heterogeneity; Leex;

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Find related papers by JEL classification:
C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
C91 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Individual Behavior
D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search, Learning, and Information

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

  1. Tang, Fang-Fang, 1996. "Anticipatory Learning in Two-Person Games: An Experimental Study, Part II. Learning," Discussion Paper Serie B 363, University of Bonn, Germany.
  2. Blume, A. & DeJong, D.V. & Neumann, G.R., 2000. "Learning and communication in sender-receiver games : an econometric investigation," Discussion Paper 9, Tilburg University, Center for Economic Research. [Downloadable!]
  3. George R. Neumann & Nathan E. Savin, 2000. "Learning and Communication in Sender-Receiver Games: An Econometric Investigation," Econometric Society World Congress 2000 Contributed Papers 1852, Econometric Society. [Downloadable!]
  4. Cross, John G, 1973. "A Stochastic Learning Model of Economic Behavior," The Quarterly Journal of Economics, MIT Press, vol. 87(2), pages 239-66, May. [Downloadable!] (restricted)
  5. Clark, K. & Kay, S. & Sefton, M, 1997. "When Are Nash Equilibria Self Enforcing ? An Experimental Analysis," Working Papers 97-04, University of Iowa, Department of Economics.
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  6. Martin Posch, 1997. "Cycling in a stochastic learning algorithm for normal form games," Journal of Evolutionary Economics, Springer, vol. 7(2), pages 193-207. [Downloadable!] (restricted)
  7. Matsui, Akihiko, 1992. "Best response dynamics and socially stable strategies," Journal of Economic Theory, Elsevier, vol. 57(2), pages 343-362, August. [Downloadable!] (restricted)
  8. Borgers, Tilman & Sarin, Rajiv, 1997. "Learning Through Reinforcement and Replicator Dynamics," Journal of Economic Theory, Elsevier, vol. 77(1), pages 1-14, November. [Downloadable!] (restricted)
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  9. Cabrales, Antonio & Garcia-Fontes, Walter & Motta, Massimo, 2000. "Risk dominance selects the leader: An experimental analysis," International Journal of Industrial Organization, Elsevier, vol. 18(1), pages 137-162, January. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Spiliopoulos, Leonidas, 2009. "Pattern recognition and subjective belief learning in repeated mixed strategy games," MPRA Paper 6666, University Library of Munich, Germany. [Downloadable!]
  2. Olivier Armantier, 2006. "Do Wealth Differences Affect Fairness Considerations?," CIRANO Working Papers 2006s-13, CIRANO. [Downloadable!]
    Other versions:
  3. Olivier Armantier, 2001. "Does Wealth Affect Fairness Considerations?," Department of Economics Working Papers 01-05, Stony Brook University, Department of Economics. [Downloadable!]
  4. Nathaniel T Wilcox, 2003. "Heterogeneity and Learning Principles," Levine's Bibliography 666156000000000435, UCLA Department of Economics. [Downloadable!]
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This page was last updated on 2009-11-27.

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