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Interval valued bimatrix games [PDF]
This paper deals with a two-player simultaneous game with finite strategy sets. Instead of precise payoffs for the players, the upper and lower values of there payoffs are known. It is shown that the existence of an equilibrium for such an interval game is equivalent to the solvability of a certain linear integer system of equations and inequalities ...
Hladík, Milan
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Pure Nash Equilibria in Bimatrix Games
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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On Random Symmetric Bimatrix Games
International Game Theory Review, 2020An 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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Hard-to-Solve Bimatrix Games [PDF]
The Lemke-Howson algorithm is the classical method for finding one Nash equilibrium of a bimatrix game. This paper presents a class of square bimatrix games for which this algorithm takes, even in the best case, an exponential number of steps in the ...
Bernhard von Stengel, Rahul Savani
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Equilibrium Points of Bimatrix Games
Journal of the Society for Industrial and Applied Mathematics, 1964An 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, 1987The 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, 1974AbstractThis 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, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Justin D. Beck +2 more
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