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Continuous-time stochastic games of fixed duration - MaRDI portal

Continuous-time stochastic games of fixed duration (Q367439)

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scientific article; zbMATH DE number 6208313
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English
Continuous-time stochastic games of fixed duration
scientific article; zbMATH DE number 6208313

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    Continuous-time stochastic games of fixed duration (English)
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    16 September 2013
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    The article considers \(n\)-player noncooperative non-zero-sum stochastic games on a finite time horizon. An example with non-existing of Markov equilibrium is given and it is shown that approximate Markov equilibria and equilibria correlated via a public signal always exist. By identifying the given game with a differential game and using the appropriate Hamilton-Jacobi-Bellman equation, sufficient conditions for a Nash equilibrium are given.
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    continuous-time stochastic games
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    non-zero-sum games
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    Markov equilibria
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    correlated equilibria
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    Hamilton-Jacobi-Bellman equation
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