Situation Analysis of Double Action Games
Applications of Information Entropy to Game Theory
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In this monograph, the author introduces Shannon entropy and principle of maximum entropy into n-person strategic games whose every of players has exactly 2 pure strategies. Principle of minimum entropy is put forth. Some 0-1 unmbering and criterons symmetry and duality of the games are given. The method to find pure Nash equilibria and completely mixed Nash equilibria are obtained. Method to solve expected equilibria and corresponding equilibrium analysis based on principle of maximum entropy are researched. Marginal-able correlated equilibria and optimal situation analysis are focused on 2-p...
In this monograph, the author introduces Shannon entropy and principle of maximum entropy into n-person strategic games whose every of players has exactly 2 pure strategies. Principle of minimum entropy is put forth. Some 0-1 unmbering and criterons symmetry and duality of the games are given. The method to find pure Nash equilibria and completely mixed Nash equilibria are obtained. Method to solve expected equilibria and corresponding equilibrium analysis based on principle of maximum entropy are researched. Marginal-able correlated equilibria and optimal situation analysis are focused on 2-person and 3-person games.
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