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Games and Economic Behavior, 1996
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Monderer, Dov, Shapley, Lloyd S.
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Monderer, Dov, Shapley, Lloyd S.
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Dynamic Games and Applications, 2017
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Fonseca-Morales, Alejandra +1 more
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Fonseca-Morales, Alejandra +1 more
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ACM Transactions on Economics and Computation, 2013
Potential games are a special class of games for which many adaptive user dynamics converge to a Nash equilibrium. In this article, we study properties of near-potential games, that is, games that are close in terms of payoffs to potential games, and show that such games admit similar limiting dynamics.
Ozan Candogan +2 more
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Potential games are a special class of games for which many adaptive user dynamics converge to a Nash equilibrium. In this article, we study properties of near-potential games, that is, games that are close in terms of payoffs to potential games, and show that such games admit similar limiting dynamics.
Ozan Candogan +2 more
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2017 36th Chinese Control Conference (CCC), 2017
The incomplete normal form game (INFG), in which there are some infeasible profiles, is considered. The structures of INFG and the dynamics of evolutionary INFG are investigated via semi-tensor product (STP) of matrices. First, the dynamics of evolutionary INFG is presented. Then a method is provided to verify whether an INFG is potential.
Xiao Zhang, Yaqi Hao, Daizhan Cheng
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The incomplete normal form game (INFG), in which there are some infeasible profiles, is considered. The structures of INFG and the dynamics of evolutionary INFG are investigated via semi-tensor product (STP) of matrices. First, the dynamics of evolutionary INFG is presented. Then a method is provided to verify whether an INFG is potential.
Xiao Zhang, Yaqi Hao, Daizhan Cheng
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From Boolean game to potential game
Automatica, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cheng, Daizhan, Liu, Ting
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2017
This chapter introduces a special class of N-player games, the so-called potential games, for which the Nash equilibrium is guaranteed to exist and is generally easy to find. It begins by considering a game with N players P₁, P₂, . . ., P(subscript N), which are allowed to select policies from the action spaces Γ₁, Γ₂, . .
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This chapter introduces a special class of N-player games, the so-called potential games, for which the Nash equilibrium is guaranteed to exist and is generally easy to find. It begins by considering a game with N players P₁, P₂, . . ., P(subscript N), which are allowed to select policies from the action spaces Γ₁, Γ₂, . .
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Economics Letters, 2000
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Repeated Play of Potential Games
Cybernetics and Systems Analysis, 2002The authors analyze the convergence of the adjustment rules of players in the repetitive play in the potential games developed by \textit{D. Monderer} and \textit{L. S. Shapley} [Games Econ. Behav. 14, 124--143 (1996; Zbl 0862.90137)] to Nash equilibrium.
Ermoliev, Y.M., Flam, S.D.
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We propose a new framework of Markov $α$-potential games to study Markov games. We show that any Markov game with finite-state and finite-action is a Markov $α$-potential game, and establish the existence of an associated $α$-potential function. Any optimizer of an $α$-potential function is shown to be an $α$-stationary Nash equilibrium.
Guo, Xin +4 more
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Guo, Xin +4 more
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Economics Bulletin, 2007 This paper proposes a new class of potential games, the nested potential games, which generalize the potential games defined in Monderer and Shapley (1996), as well as the pseudo-potential games defined in Dubey et al. (2006). We show that each maximizer of a nested potential is a Nash equilibrium.
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