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Linear-Quadratic Non-Zero Sum Backward Stochastic Differential Game With Overlapping Information

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This article studies a linear quadratic non-zero sum stochastic differential game with overlapping information, where the state dynamics are described by a backward stochastic differential equation and the information obtained… Click to show full abstract

This article studies a linear quadratic non-zero sum stochastic differential game with overlapping information, where the state dynamics are described by a backward stochastic differential equation and the information obtained by two players has a common part but no inclusion relation. The open-loop Nash equilibrium strategy is given by some conditional mean-field stochastic differential equations. In addition, coupled Riccati equations are introduced to express the state feedback form of the Nash equilibrium strategy.

Keywords: information; quadratic non; stochastic differential; linear quadratic; non zero; zero sum

Journal Title: IEEE Transactions on Automatic Control
Year Published: 2023

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