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- W2950650718 abstract "We introduce a modification of Perron's method, where semi-solutions are considered in a carefully defined asymptotic sense. With this definition, we can show, in a rather elementary way, that in a zero-sum game or a control problem (with or without model uncertainty), the value function over all strategies coincides with the value function over Markov strategies discretized in time. Therefore, there are always discretized Markov $varepsilon$-optimal strategies, (uniform with respect to the bounded initial condition). With a minor modification, the method produces a value and approximate saddle points for an asymmetric game of feedback strategies vs. counter-strategies." @default.
- W2950650718 created "2019-06-27" @default.
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- W2950650718 date "2014-02-27" @default.
- W2950650718 modified "2023-10-18" @default.
- W2950650718 title "Asymptotic Perron's method and simple Markov Strategies in stochastic games and control" @default.
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- W2950650718 hasPublicationYear "2014" @default.
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