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Stochastic differential games: Occupation measure based approach
Authors:V S Borkar  M K Ghosh
Institution:(1) Department of Electrical Engineering, Indian Institute of Science, Bangalore, India;(2) Tata Institute of Fundamental Research, Bangalore, India
Abstract:A new approach based on occupation measures is introduced for studying stochastic differential games. For two-person zero-sum games, the existence of values and optimal strategies for both players is established for various payoff criteria. ForN-person games, the existence of equilibria in Markov strategies is established for various cases.
Keywords:Occupation measure  Markov strategy  invariant measure  Isaacs equation  equilibrium
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