# Growth of Strategy Sets, Entropy and Nonstationary Bounded Recall

## Author Info

Listed author(s):
• Abraham Neyman Null

(Hebrew University)

()

(Rutgers University)

Registered author(s):

## Abstract

This paper initiates the study of long term interactions where players' bounded rationality varies over time. Time dependent bounded rationality is reflected in part in the number $\psi(t)$ of distinct strategies in the first $t$-stages. We examine how the growth rate of $\psi_i(t)$ affects equilibrium outcomes of repeated games, and, as a special case, we study the repeated games with nonstationary bounded recall.

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File URL: http://www.sas.rutgers.edu/virtual/snde/wp/2005-14.pdf

## Bibliographic Info

Paper provided by Rutgers University, Department of Economics in its series Departmental Working Papers with number 200514.

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 Length: Date of creation: 24 Nov 2005 Handle: RePEc:rut:rutres:200514 Contact details of provider: Postal: New Jersey Hall - 75 Hamilton Street, New Brunswick, NJ 08901-1248Phone: (732) 932-7363Fax: (732) 932-7416Web page: http://economics.rutgers.edu/More information through EDIRC

## References

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1. Olivier Gossner & Abraham Neyman & Penélope Hernández, 2005. "Optimal Use Of Communication Resources," Working Papers. Serie AD 2005-06, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
2. Ben-Porath Elchanan, 1993. "Repeated Games with Finite Automata," Journal of Economic Theory, Elsevier, vol. 59(1), pages 17-32, February.
3. Neyman, Abraham & Okada, Daijiro, 2000. "Repeated Games with Bounded Entropy," Games and Economic Behavior, Elsevier, vol. 30(2), pages 228-247, February.
4. Neyman, Abraham, 1985. "Bounded complexity justifies cooperation in the finitely repeated prisoners' dilemma," Economics Letters, Elsevier, vol. 19(3), pages 227-229.
5. Robert J. Aumann & Lloyd S. Shapley, 1992. "Long Term Competition-A Game Theoretic Analysis," UCLA Economics Working Papers 676, UCLA Department of Economics.
6. Lehrer, Ehud, 1988. "Repeated games with stationary bounded recall strategies," Journal of Economic Theory, Elsevier, vol. 46(1), pages 130-144, October.
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