A survey of static and dynamic potential games

被引：0
作者：
David González-Sánchez
Onésimo Hernández-Lerma
机构：
[1] Universidad de Sonora,Consejo Nacional de Ciencia y Tecnología
[2] Centro de Investigación y de Estudios Avanzados del Instituto Politécnico Nacional,Mathematics Department
来源：
Science China Mathematics | 2016年 / 59卷
关键词：
noncooperative games; potential games; Nash equilibrium; dynamic games; Markov games; differential games; population games; 91A10; 91A15; 91A23; 91A25; 91A50; 49N70; 49N90; 91A13;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Potential games are noncooperative games for which there exist auxiliary functions, called potentials, such that the maximizers of the potential are also Nash equilibria of the corresponding game. Some properties of Nash equilibria, such as existence or stability, can be derived from the potential, whenever it exists. We survey different classes of potential games in the static and dynamic cases, with a finite number of players, as well as in population games where a continuum of players is allowed. Likewise, theoretical concepts and applications are discussed by means of illustrative examples.
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页码：2075 / 2102
页数：27
相关论文
共 111 条
[1]  
Alvarez-Mena J(2006)Existence of Nash equilibria for constrained stochastic games Math Methods Oper Res 63 261-285
[2]  
Hernández-Lerma O(2005)Supermodularity and complementarity in economics: An elementary survey Southern Econ J 71 636-660
[3]  
Amir R(1960)Stability of the gradient process in n-person games J Soc Ind App Math 8 280-294
[4]  
Arrow K J(2007)Autonomous vehicle-target assignment: A game theoretical formulation J Dyn Syst Meas Control 129 584-596
[5]  
Hurwicz L(1974)Subjectivity and correlation in randomized strategies J Math Econom 1 67-96
[6]  
Arslan G(1987)Correlated equilibrium as an expression of Bayesian rationality Econometrica 55 1-18
[7]  
Marden J R(2013)Dynamics in near-potential games Games Econom Behav 82 66-90
[8]  
Shamma J(2014)Refinements of Nash equilibrium in potential games Theoret Econom 9 555-582
[9]  
Aumann R(1974)A class of games having Pareto optimal Nash equilibria J Optim Theory Appl 13 379-385
[10]  
Aumann R(1978)Optimal control problems from second order difference equations J Econom Theory 19 50-63
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