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Finite Rationality and Interpersonal Complexity in Repeated Games

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Author Info
Kalai, Ehud
Stanford, William

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Abstract

Finite complexity strategies suffice for approximating all subgame perfect equ ilibrium payoffs of repeated games. Generically, at such equilibria, no player's complexity exceeds the product of his opponents' complexi ties. Also, no player's memory exceeds the maximal memory of his oppo nents. The complexity of a strategy is defined here to equal the numb er of distinct strategies it induces in the various subgames. It equa ls the size (number of states) of the smallest automaton describing i t and also the number of states of the smallest information system ne eded for the implementation of the strategy. Copyright 1988 by The Econometric Society.

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Article provided by Econometric Society in its journal Econometrica.

Volume (Year): 56 (1988)
Issue (Month): 2 (March)
Pages: 397-410
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Handle: RePEc:ecm:emetrp:v:56:y:1988:i:2:p:397-410

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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. Radner, Roy, 1980. "Collusive behavior in noncooperative epsilon-equilibria of oligopolies with long but finite lives," Journal of Economic Theory, Elsevier, vol. 22(2), pages 136-154, April. [Downloadable!] (restricted)
  2. Fudenberg, Drew & Levine, David, 1983. "Subgame-perfect equilibria of finite- and infinite-horizon games," Journal of Economic Theory, Elsevier, vol. 31(2), pages 251-268, December. [Downloadable!] (restricted)
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  3. Friedman, James W, 1971. "A Non-cooperative Equilibrium for Supergames," Review of Economic Studies, Blackwell Publishing, vol. 38(113), pages 1-12, January. [Downloadable!] (restricted)
  4. Futia, Carl, 1977. "The complexity of economic decision rules," Journal of Mathematical Economics, Elsevier, vol. 4(3), pages 289-299, December. [Downloadable!] (restricted)
  5. Stanford, William G., 1986. "Subgame perfect reaction function equilibria in discounted duopoly supergames are trivial," Journal of Economic Theory, Elsevier, vol. 39(1), pages 226-232, June. [Downloadable!] (restricted)
  6. Neyman, Abraham, 1985. "Bounded complexity justifies cooperation in the finitely repeated prisoners' dilemma," Economics Letters, Elsevier, vol. 19(3), pages 227-229. [Downloadable!] (restricted)
  7. Smale, Steve, 1980. "The Prisoner's Dilemma and Dynamical Systems Associated to Non-Cooperative Games," Econometrica, Econometric Society, vol. 48(7), pages 1617-34, November. [Downloadable!] (restricted)
  8. Kalai, Ehud & Samet, Dov & Stanford, William, 1988. "A Note on Reactive Equilibria in the Discounted Prisoner's Dilemma and Associated Games," International Journal of Game Theory, Springer, vol. 17(3), pages 177-86.
  9. Stanford, William G., 1986. "On continuous reaction function equilibria in duopoly supergames with mean payoffs," Journal of Economic Theory, Elsevier, vol. 39(1), pages 233-250, June. [Downloadable!] (restricted)
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