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Pure Nash Equilibria in Bimatrix Games

International Game Theory Review
In this paper, we study the existence of pure Nash equilibria in bimatrix games. Shapley, L. S. [[1964] Some topics in two-person games, in Advances in Game Theory, eds. Dresher, M., Shapley, L. S. & Tucker, A. W. Princeton (University Press, Princeton), pp.
Nagarajan Krishnamurthy, Lina Mallozzi
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Stochastic evolutionary dynamics of bimatrix games

Journal of Theoretical Biology, 2010
Evolutionary game dynamics of two-player asymmetric games in finite populations is studied. We consider two roles in the game, roles alpha and beta. alpha-players and beta-players interact and gain payoffs. The game is described by a pair of matrices, which is called bimatrix.
大槻, 久, OHTSUKI, Hisashi
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On Random Symmetric Bimatrix Games

International Game Theory Review, 2020
An experiment was conducted on a sample of [Formula: see text] randomly generated symmetric bimatrix games with size [Formula: see text] and [Formula: see text]. Distribution of support sizes and Nash equilibria are used to formulate a conjecture: for finding a symmetric NEP it is enough to check supports up to size [Formula: see text] whereas for ...
Jozsef Abaffy, Ferenc Forgó
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Equilibrium Points of Bimatrix Games

Journal of the Society for Industrial and Applied Mathematics, 1964
An algebraic proof is given of the existence of equilibrium points for bimatrix (or two-person, non-zero-sum) games. The proof is constructive, leading to an efficient scheme for computing an equilibrium point. In a nondegenerate case, the number of equilibrium points is finite and odd. The proof is valid for any ordered field.
Lemke, C. E., Howson, J. T. jun.
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Gradients for the evolution of bimatrix games

Journal of Mathematical Biology, 1987
The evolutionary dynamics of bimatrix games is studied for rescaled partnership games and zero sum games. The former case leads to gradient systems. The selection equations for sexual and asexual reproduction of genotypes corresponding to mixed strategies are analysed. As examples, the origin of anisogamy and cyclic chases for predator-prey coevolution
Koth., M., Sigmund, K.
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On nash subsets of bimatrix games

Naval Research Logistics Quarterly, 1974
AbstractThis work considers a class of bimatrix games to which some well‐known structure theorems of 0‐sum matrix games can be made to generalize. It is additionally shown how to construct such games and how to generate the equilibrium points defining a given game as a member of that class.
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Incompetence and impact of training in bimatrix games

Automatica, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Justin D. Beck, Vladimir Ejov, Jerzy A. Filar   +2 more
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Seeking the Equilibrium Situations in Bimatrix Games

Automation and Remote Control, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Orlov, A. V., Strekalovskiĭ, A. S.
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Uncertain bimatrix game with applications

Fuzzy Optimization and Decision Making, 2012
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Equilibrium Points in Bimatrix Games

Theory of Probability & Its Applications, 1958
An algorithm for computing all equilibrium points (situations) for the case of bimatrix (i.e., finite two-person, non-cooperative, non-zero-sum) games is given.
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