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Finite element approach to continuous potential games

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The concept of potential games was proposed for the first time by Rosenthal in 1973 [1]. The seminal study by Monderer and Shapley [2] presented systematic investigation and fundamental results… Click to show full abstract

The concept of potential games was proposed for the first time by Rosenthal in 1973 [1]. The seminal study by Monderer and Shapley [2] presented systematic investigation and fundamental results for this kind of games. Some of its recent developments can be found in [3]. Because of some nice properties, potential games have been applied to many control and optimization problems, for instance the existence of Nash equilibria [4] and game theoretic control [5].

Keywords: finite element; potential games; approach continuous; continuous potential; element approach

Journal Title: Science China Information Sciences
Year Published: 2020

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