A Rermark on Infinitely Repeated Extensive Games
Let Gamma be a game in extensive form and G be its reduced normal form game. Let Gamma ^infinity (delta) and G^infinity (delta) be the infinitely repeated game version of Gamma and G respectively, with common discount factor delta. This note points out that the set of SPE payoff vectors of Gamma^infinity (delta) might be different from that of G sub infinity (delta), even when delta is arbitrarily close to 1. This difference can be substantial when G fails to satisfy the "dimensionality" condition (a-la Fundenberg and Masking (1986) or Abreu, Dutta and Smith (1992)).
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|Date of creation:||1992|
|Date of revision:|
|Contact details of provider:|| Postal: Tel-Aviv University, The Sackler Institute of Economic Studies, Ramat Aviv 69 978 Tel-Aviv, Israel|
Web page: http://econ.tau.ac.il/
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- Ariel Rubinstein, 1997.
"Finite automata play the repeated prisioners dilemma,"
Levine's Working Paper Archive
1639, David K. Levine.
- Rubinstein, Ariel, 1986. "Finite automata play the repeated prisoner's dilemma," Journal of Economic Theory, Elsevier, vol. 39(1), pages 83-96, June.
- Abreu, Dilip & Rubinstein, Ariel, 1988. "The Structure of Nash Equilibrium in Repeated Games with Finite Automata," Econometrica, Econometric Society, vol. 56(6), pages 1259-81, November.
- Robert J. Aumann & Lloyd S. Shapley, 2013.
"Long Term Competition -- A Game-Theoretic Analysis,"
Annals of Economics and Finance,
Society for AEF, vol. 14(2), pages 627-640, November.
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