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• W2890147781 abstract "In this paper we propose and analyze a class of stochastic $N$-player games that includes finite fuel stochastic games as a special case. We first derive sufficient conditions for the Nash equilibrium (NE) in the form of a verification theorem, which reveals an essential game component regarding the interaction among players. It is an analytical representation of the conditional optimality condition for NEs, largely missing in the existing literature on stochastic games. The derivation of NEs involves first solving a multi-dimensional free boundary problem and then a Skorokhod problem, where the boundary is moving in that it depends on both the changes of the system and the control strategies of other players. Finally, we reformulate NE strategies in the form of controlled rank-dependent stochastic differential equations." @default.
• W2890147781 created "2018-09-27" @default.
• W2890147781 creator A5058487048 @default.
• W2890147781 creator A5068576165 @default.
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• W2890147781 date "2018-09-10" @default.
• W2890147781 modified "2023-09-27" @default.
• W2890147781 title "A class of stochastic games and moving free boundary problems" @default.
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• W2890147781 hasPublicationYear "2018" @default.
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