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Nonzero-sum risk-sensitive stochastic differential games
Published 5 Apr 2016 in math.OC | (1604.01142v1)
Abstract: We study two person nonzero-sum stochastic differential games with risk-sensitive discounted and ergodic cost criteria. Under certain conditions we establish a Nash equilibrium in Markov strategies for the discounted cost criterion and a Nash equilibrium in stationary strategies for the ergodic cost criterion. We achieve our results by studying the relevant systems of coupled HJB equations.
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