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A Behavioral Foundation for Models of Evolutionary Drift

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  • Uriarte Ayo, José Ramón

Abstract

Binmore and Samuelson (1999) have shown that perturbations (drift) are crucial to study the stability properties of Nash equilibria. We contribute to this literature by providing a behavioural foundation for models of evolutionary drift. In particular, this article introduces a microeconomic model of drift based on the similarity theory developed by Tversky (1977), Kahneman and Tversky (1979) and Rubinstein (1988),(1998). An innovation with respect to those works is that we deal with similarity relations that are derived from the perception that each agent has about how well he is playing the game. In addition, the similarity relations are adapted to a dynamic setting. We obtain different models of drift depending on how we model the agent´s assessment of his behaviour in the game. The examples of the ultimatum game and the chain-store game are used to show the conditions for each model to stabilize elements in the component of Nash equilibria that are not subgame- perfect. It is also shown how some models approximate the laboratory data about those games while others match the data.

Suggested Citation

  • Uriarte Ayo, José Ramón, 2005. "A Behavioral Foundation for Models of Evolutionary Drift," IKERLANAK 6488, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.
  • Handle: RePEc:ehu:ikerla:6488
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    1. Guth, Werner & Huck, Steffen & Muller, Wieland, 2001. "The Relevance of Equal Splits in Ultimatum Games," Games and Economic Behavior, Elsevier, vol. 37(1), pages 161-169, October.
    2. McKelvey Richard D. & Palfrey Thomas R., 1995. "Quantal Response Equilibria for Normal Form Games," Games and Economic Behavior, Elsevier, vol. 10(1), pages 6-38, July.
    3. Borgers, Tilman & Sarin, Rajiv, 1997. "Learning Through Reinforcement and Replicator Dynamics," Journal of Economic Theory, Elsevier, vol. 77(1), pages 1-14, November.
    4. Cheung, Yin-Wong & Friedman, Daniel, 1998. "A comparison of learning and replicator dynamics using experimental data," Journal of Economic Behavior & Organization, Elsevier, vol. 35(3), pages 263-280, April.
    5. Ed Hopkins, 2002. "Two Competing Models of How People Learn in Games," Econometrica, Econometric Society, vol. 70(6), pages 2141-2166, November.
    6. Yun Joo Jung & John H. Kagel & Dan Levin, 1994. "On the Existence of Predatory Pricing: An Experimental Study of Reputation and Entry Deterrence in the Chain-Store Game," RAND Journal of Economics, The RAND Corporation, vol. 25(1), pages 72-93, Spring.
    7. Roth, Alvin E. & Vesna Prasnikar & Masahiro Okuno-Fujiwara & Shmuel Zamir, 1991. "Bargaining and Market Behavior in Jerusalem, Ljubljana, Pittsburgh, and Tokyo: An Experimental Study," American Economic Review, American Economic Association, vol. 81(5), pages 1068-1095, December.
    8. Daniel Kahneman & Amos Tversky, 2013. "Prospect Theory: An Analysis of Decision Under Risk," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 6, pages 99-127, World Scientific Publishing Co. Pte. Ltd..
    9. Cabrales, Antonio, 2000. "Stochastic Replicator Dynamics," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 41(2), pages 451-481, May.
    10. Gale, John & Binmore, Kenneth G. & Samuelson, Larry, 1995. "Learning to be imperfect: The ultimatum game," Games and Economic Behavior, Elsevier, vol. 8(1), pages 56-90.
    11. Richard Mckelvey & Thomas Palfrey, 1998. "Quantal Response Equilibria for Extensive Form Games," Experimental Economics, Springer;Economic Science Association, vol. 1(1), pages 9-41, June.
    12. JosÊ RamÕn Uriarte, 1999. "Decision-making under risk: Editing procedures based on correlated similarities, and preference overdetermination," Review of Economic Design, Springer;Society for Economic Design, vol. 4(1), pages 1-12.
    13. Ken Binmore & Larry Samuelson, 1999. "Evolutionary Drift and Equilibrium Selection," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(2), pages 363-393.
    14. Abbink, Klaus & Bolton, Gary E. & Sadrieh, Abdolkarim & Tang, Fang-Fang, 2001. "Adaptive Learning versus Punishment in Ultimatum Bargaining," Games and Economic Behavior, Elsevier, vol. 37(1), pages 1-25, October.
    15. Aizpurua, J M & Ichiishi, T. & Nieto, J. & Uriarte, J. R., 1993. "Similarity and Preferences in the Space of Simple Lotteries," Journal of Risk and Uncertainty, Springer, vol. 6(3), pages 289-297, June.
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    Cited by:

    1. Uriarte Ayo, José Ramón & Iriberri Etxebeste, Nagore, 2006. "The Language Game: A Game-Theoretic Approach to Language Contact," IKERLANAK 2006-24, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.
    2. Iriberri Etxebeste, Nagore & Uriarte Ayo, José Ramón, 2006. "The Language Game: A Game-Theoretic Approach to Language Contact," IKERLANAK 6232, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.

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