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Distributed nash equilibrium seeking for heterogeneous second-order nonlinear noncooperative games with communication delays [PDF]
Scientific ReportsThis paper investigates the noncooperative game problems over weight-balanced digraphs with communication delays. Compared with existing noncooperative games, a class of noncooperative games that are more aligned with practical systems is discussed ...
Rui Yu +4 more
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Existence and Generic Stability of Strong Noncooperative Equilibria of Vector-Valued Games [PDF]
Mathematics, 2021 In this paper, we obtain an existence theorem of general strong noncooperative equilibrium point of vector-valued games, in which every player maximizes all goals.
Yu Zhang, Shih-Sen Chang, Tao Chen
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Set-Theoretic Inequalities in Stochastic Noncooperative Games with Coalition
Journal of Inequalities and Applications, 2008 We model and analyze antagonistic stochastic games of three players, two of whom form a coalition against the third one. The actions of the players are modeled by random walk processes recording the cumulative damages to each player at any moment of ...
Dshalalow JewgeniH +1 more
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Player Aggregation in Noncooperative Games. [PDF]
J Res Natl Bur Stand (1977), 1980 A condition is given, under which subsets of the players of a noncooperative game can be combined into "aggregate players" without changing the set of equilibrium-point solutions of the game. The condition is that an individual player's payoff does not depend on the strategy choices of the other players forming the same aggregate player.
Goldman AJ, Shier DR.
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Infinite horizon noncooperative differential games [PDF]
Journal of Differential Equations, 2006 25 pages, 7 ...
Alberto Bressan, Fabio S. Priuli
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Game Theory: Noncooperative Games [PDF]
, 2015 We describe noncooperative game models and discuss game theoretic solution concepts. Some applications are also noted. Conventional theory focuses on the question ‘how will rational players play?’, and has the Nash equilibrium at its core. We discuss this concept and its interpretations, as well as refinements (perfect and stable equilibria) and ...
Eric van Damme
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On group structures of strategic-form games [PDF]
Fundamental ResearchThere are two recognized classes of strategic-form symmetric games, both of which can be conveniently defined through the corresponding player symmetry groups. We investigate the basic properties of these groups and several related concepts.
Zhigang Cao +3 more
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Player Aggregation in Noncooperative Games, II. [PDF]
J Res Natl Bur Stand (1977), 1981 Conditions are given under which subsets of the players of a noncooperative game can be combined into "aggregate players" without changing the set of equilibrium-point solutions of the game. These conditions are shown to be the weakest possible ones with a certain specified kind of generality.
Goldman AJ.
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Existence of Generalized Nash Equilibrium in n-Person Noncooperative Games under Incomplete Preference [PDF]
Journal of Function Spaces, 2018 To prove the existence of Nash equilibrium by traditional ways, a common condition that the preference of players must be complete has to be considered. This paper presents a new method to improve it.
Xingchang Li
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A Survey on Noncooperative Games and Distributed Nash Equilibrium Seeking over Multi-Agent Networks
CAAI Artificial Intelligence Research, 2022 The work gives a review on the distributed Nash equilibrium seeking of noncooperative games in multi-agent networks, which emerges as one of the frontier research topics in the area of systems and control community. Firstly, we give the basic formulation
Peng Yi +5 more
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