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A nonzero-sum stochastic differential game in the orthant - MaRDI portal

A nonzero-sum stochastic differential game in the orthant (Q1771389)

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scientific article; zbMATH DE number 2159781
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A nonzero-sum stochastic differential game in the orthant
scientific article; zbMATH DE number 2159781

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    A nonzero-sum stochastic differential game in the orthant (English)
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    21 April 2005
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    A nonzero-sum stochastic differential game is studied where the state equation is governed by a controlled stochastic differential equation in the nonnegative orthant with reflecting boundary conditions. Conditions for the existence of a Nash equilibrium in stationary strategies are given for both discounted and average payoff criteria.
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    reflecting diffusion
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    discounted payoff
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    average payoff
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    Nash equilibrium
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    stationary strategy
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    differential game
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