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Tytuł artykułu

Learning in games with bounded memory

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The paper studies infinite repetition of finite strategic form games. Players use a backward looking learning behavior and face bounds on their cognitive capacities. We show that for any given belief-probability over the set of possible outcomes where players have no experience, games can be payoff classified and there always exists a stationary state in the space of action profiles. In particular, if the belief-probability assumes all possible outcomes without experience to be equally likely, in one class of Prisoners' Dilemmas where the uniformly weighted average defecting payoff is higher than the cooperative payoff and the uniformly weighted average cooperative payoff is lower than the defecting payoff, play converges in the long run to the static Nash equilibrium while in the other class of Prisoners' Dilemmas where the reverse holds, play converges to cooperation. Results are applied to a large class of 2 x 2 games.
Rocznik
Strony
303--333
Opis fizyczny
Bibliogr. 24 poz.
Twórcy
autor
Bibliografia
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  • HSIAO-CHI, CH., THISSE, J.-F. and FRIEDMAN, J.W. (1997) Boundedly Rational Nash Equilibrium: A probabilistic choice approach. Games and Econ. Behav. 18, 32-54.
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  • GILBOA, I. and SCHMEIDLER, D. (1995) Case-Based Decision Theory. Quarterly Journal of Economics 110, 605-639.
  • GRAHAM, A. (1987) Nonnegative Matrices and Applicable Topics in Linear Algebra. John Wiley & Sons.
  • HARSANYI, J.C. and SELTEN, R. (1988) A General Theory of Equilibrium Selection in Games. MIT Press.
  • HOPCROFT, J. and ULLMAN, J. (1979) Introduction to Automata Theory, Languages, and Computation. Addison-Wesley.
  • KALAI, E. AND STANFORD, W. (1988) Finite Rationality and Interpersonal Complexity in Repeated Games. Econometrica 56 (2), 397-410.
  • KARANDIKAR, R., MOOKHERJEE, D., RAY, D. and VEGA-REDONDO, F. (1998) Evolving Aspirations and Cooperation. Journal of Economic Theory 80, 292-331.
  • KIM, Y. (1999) Satisficing and optimality in common interest games. Economic Theory 13, 365-375.
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  • MAYNARD SMITH, J. (1982) Evolution and the Theory of Games. Cambridge University Press.
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  • McFADDEN, D. (1976) Quantal Choice Analysis: A Survey. Ann. of Econ. and Soc. Measures 5, 363-390.
  • MOOKHERJEE, D. and SOPHER, B. (1997) Learning and Decision Costs in Experimental Constant Sum Games. Games and Econ. Behav. 19, 97-132.
  • NEYMAN, A. (1985) Bounded Complexity justifies Cooperation in the Finitely Repeated Prisoners' Dilemma. Economic Letters 19, 227-229.
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  • SONSINO, D. (1997) Learning to Learn, Pattern Recognition, and Nash Equilibrium. Games and Economic Behavior 18, 286-331.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT5-0011-0032
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