Results 1 to 10 of about 160 (153)
Non-Classical Rules in Quantum Games [PDF]
Entropy, 2021 Over the last twenty years, quantum game theory has given us many ideas of how quantum games could be played. One of the most prominent ideas in the field is a model of quantum playing bimatrix games introduced by J. Eisert, M. Wilkens and M. Lewenstein.
Piotr Frąckiewicz
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Effects of the quarantine on the individuals’ risk of Covid-19 infection: Game theoretical approach [PDF]
Alexandria Engineering Journal, 2021 In this study, we analyze the general or self-quarantine effects to the spread of the first wave of Covid-19 pandemic in the view of the game-theoretical approach.
Murat Özkaya, Burhaneddin İzgi
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A Fast Approach to Bimatrix Games with Intuitionistic Fuzzy Payoffs [PDF]
The Scientific World Journal, 2014 The aim of this paper is to develop an effective method for solving bimatrix games with payoffs of intuitionistic fuzzy value. Firstly, bimatrix game model with intuitionistic fuzzy payoffs (IFPBiG) was put forward.
Min Fan +3 more
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Linear model for coputation of equilibrium point in bimatrix game
Lietuvos Matematikos Rinkinys, 2021 The methods for finding Nash equilibrium in bimatrix game are introduced in this paper. Linear optimization model with binary variables for coputation of all equilibrium points in nongenerate bimatrix game is proposed.
Sigutė Vakrinienė +1 more
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Rank Reduction in Bimatrix Games
International Game Theory Review, 2022 The rank of a bimatrix game is defined as the rank of the sum of the payoff matrices of the two players. The rank of a game is known to impact both the most suitable computation methods for determining a solution and the expressive power of the game. Under certain conditions on the payoff matrices, we devise a method that reduces the rank of the game ...
Joseph L. Heyman, Abhishek Gupta 0002
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On the Determinateness of m × ∞-Bimatrix Games [PDF]
Mathematics of Operations Research, 1997 In this paper a positive answer is given to the question of whether every semi-infinite bimatrix game is weakly determined.
Norde, H.W., Potters, J.A.M.
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A Note on Anti-Berge Equilibrium for Bimatrix Game
Известия Иркутского государственного университета: Серия "Математика", 2021 Game theory plays an important role in applied mathematics, economics and decision theory. There are many works devoted to game theory. Most of them deals with a Nash equilibrium.
R. Enkhbat
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One class of Nash equilibria in bimatrix games
Lietuvos Matematikos Rinkinys, 2002 Active Nash equilibria existence in bimatrix game problem is reduced to the problem of nonexistence of special solutions of the systems (11) and (12).
Aneta Gracjana Blaževič +1 more
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Nash equilibria in the context of convex sets
Lietuvos Matematikos Rinkinys, 2001 Nash equilibria (α, β), α > O, β > O, are investigated in bimatrix (3 x 3) game. Necessary and sufficient conditions for existing of such Nash equilibria are obtained (in theorems 4 and 8), and the algorithms for calculating them too.
Daina Sūdžiūtė
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Efficient Decomposition of Bimatrix Games (Extended Abstract) [PDF]
Electronic Proceedings in Theoretical Computer Science, 2014 Exploiting the algebraic structure of the set of bimatrix games, a divide-and-conquer algorithm for finding Nash equilibria is proposed. The algorithm is fixed-parameter tractable with the size of the largest irreducible component of a game as parameter.
Xiang Jiang, Arno Pauly
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