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What Learning Models Tell Us to Expect in Three-by-Three Bimatrix Games

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Author Info
Nicole Marie Bouchez (Department of Economics, Royal Holloway, University of London)
Abstract

This paper extends several existing learning models to investigate their fixed points (their long run predictions of play). The fixed points of the model are not necessarily at the Nash equilibria of the payoff matrices but are a function of both the Nash equilibria and the parameters of the model. The stability of these fixed points also depends on both the characteristics of the payoff matrix used and the parameters of the models. These new findings indicate that behaviour previously though to be inconsistent with theory may not necessarily be so.

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Paper provided by Department of Economics, Royal Holloway University of London in its series Royal Holloway, University of London: Discussion Papers in Economics with number 00/3.

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Length: 36 pages
Date of creation: Feb 2001
Date of revision: Feb 2001
Handle: RePEc:hol:holodi:0003

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Related research
Keywords: Learning; Beliefs; Reinforcement.;

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Find related papers by JEL classification:
D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search, Learning, and Information
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

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  1. Fudenberg, Drew & Levine, David K., 1995. "Consistency and cautious fictitious play," Journal of Economic Dynamics and Control, Elsevier, vol. 19(5-7), pages 1065-1089. [Downloadable!] (restricted)
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  2. Erev, Ido & Roth, Alvin E, 1998. "Predicting How People Play Games: Reinforcement Learning in Experimental Games with Unique, Mixed Strategy Equilibria," American Economic Review, American Economic Association, vol. 88(4), pages 848-81, September. [Downloadable!] (restricted)
  3. 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. [Downloadable!] (restricted)
  4. Stahl, Dale O., 1996. "Boundedly Rational Rule Learning in a Guessing Game," Games and Economic Behavior, Elsevier, vol. 16(2), pages 303-330, October. [Downloadable!] (restricted)
  5. Mookherjee Dilip & Sopher Barry, 1994. "Learning Behavior in an Experimental Matching Pennies Game," Games and Economic Behavior, Elsevier, vol. 7(1), pages 62-91, July. [Downloadable!] (restricted)
  6. Cheung, Yin-Wong & Friedman, Daniel, 1997. "Individual Learning in Normal Form Games: Some Laboratory Results," Games and Economic Behavior, Elsevier, vol. 19(1), pages 46-76, April. [Downloadable!] (restricted)
  7. Nick Feltovich, 2000. "Reinforcement-Based vs. Belief-Based Learning Models in Experimental Asymmetric-Information," Econometrica, Econometric Society, vol. 68(3), pages 605-642, May.
  8. Colin Camerer & Teck-Hua Ho, 1999. "Experience-weighted Attraction Learning in Normal Form Games," Econometrica, Econometric Society, vol. 67(4), pages 827-874, July.
  9. Dale O. Stahl, 1999. "Evidence based rules and learning in symmetric normal-form games," International Journal of Game Theory, Springer, vol. 28(1), pages 111-130. [Downloadable!] (restricted)
  10. Ellison, Glenn & Fudenberg, Drew, 2000. "Learning Purified Mixed Equilibria," Journal of Economic Theory, Elsevier, vol. 90(1), pages 84-115, January. [Downloadable!] (restricted)
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