Generalized Equilibrium Results for Games with Incomplete Information

Erik J. Balder

133 citations0/0 files storedMathematics of Operations Research

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Game Theory and Applications Game Theory and Voting Systems Economic theories and models

Abstract

Milgrom and Weber (Milgrom, P. R., Weber, R. J. 1985. Distributional strategies for games with incomplete information. Math. Oper. Res. 10 619–632.) gave an existence result for a Nash equilibrium in a game with incomplete information, using their notion of a distributional strategy. Here we obtain a substantial improvement of their existence result in terms of the more traditional concept of a behavioral strategy. This improvement is reached very naturally as an application of a theory of weak convergence for transition probabilities, which is recapitulated extensively in this paper. Also, a new result on the weak convergence of product transition probabilities is included.

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2004Games with Incomplete Information Played by “Bayesian” Players, I–III: Part I. The Basic Model 1968Games with Incomplete Information Played by ‘Bayesian’ Players, Part III. The Basic Probability Distribution of the Game 1968Games with Incomplete Information Played by “Bayesian” Players Part II. Bayesian Equilibrium Points 1985Formulation of Bayesian analysis for games with incomplete information 1985Distributional Strategies for Games with Incomplete Information 1982Private Information and Pure-Strategy Equilibria

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