Reinterpreting mixed strategy equilibria: a unification of the classical and Bayesian views
We provide a new interpretation of mixed strategy equilibria that incorporates both von Neumann and Morgenstern's classical concealment role of mixing as well as the more recent Bayesian view originating with Harsanyi. For any two-person game, G, we consider an incomplete information game, IG, in which each player's type is the probability he assigns to the event that his mixed strategy in G is 'found out' by his opponent. We show that, generically, any regular equilibrium of G can be approximated by an equilibrium of IG in which almost every type of each player is strictly optimizing. This leads us to interpret i's equilibrium mixed strategy in G as a combination of deliberate randomization by i together with uncertainty on j's part about which randomization i will employ. We also show that such randomization is not unusual: For example, i's randomization is nondegenerate whenever the support of an equilibrium contains cyclic best replies.
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- Tan, Tommy Chin-Chiu & da Costa Werlang, Sergio Ribeiro, 1988.
"The Bayesian foundations of solution concepts of games,"
Journal of Economic Theory,
Elsevier, vol. 45(2), pages 370-391, August.
- Werlang, Sérgio Ribeiro da Costa & Chin-Chiu Tan, Tommy, 1987. "The Bayesian Foundations of Solution Concepts of Games," Economics Working Papers (Ensaios Economicos da EPGE) 111, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
- Robson, A.J., 1990.
"An "informationally robust equilibrium" for two-person nonzero-sum games,"
1990-39, Tilburg University, Center for Economic Research.
- Robson~ Arthur J., 1994. "An Informationally Robust Equilibrium for Two-Person Nonzero-Sum Games," Games and Economic Behavior, Elsevier, vol. 7(2), pages 233-245, September.
- Robson, A.J., 1990. "An "Informationally Robust Equilibrium" For Two-Person Nonzero-Sum Games," Papers 9039, Tilburg - Center for Economic Research.
- Robert J. Aumann, 2010.
"Correlated Equilibrium as an expression of Bayesian Rationality,"
Levine's Working Paper Archive
661465000000000377, David K. Levine.
- Aumann, Robert J, 1987. "Correlated Equilibrium as an Expression of Bayesian Rationality," Econometrica, Econometric Society, vol. 55(1), pages 1-18, January.
- R. Aumann, 2010. "Correlated Equilibrium as an expression of Bayesian Rationality," Levine's Bibliography 513, UCLA Department of Economics.
- Aumann, Robert & Brandenburger, Adam, 1995.
"Epistemic Conditions for Nash Equilibrium,"
Econometric Society, vol. 63(5), pages 1161-80, September.
- Akihiko Matsui, 1988.
"Information Leakage Forces Cooperation,"
786, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Rosenthal, Robert W., 1991. "A note on robustness of equilibria with respect to commitment opportunities," Games and Economic Behavior, Elsevier, vol. 3(2), pages 237-243, May.
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