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Nash equilibrium point for one kind of stochastic nonzero-sum game problem and BSDEs. (English. Abridged French version) Zbl 1173.91310
Summary: We deal with one kind of stochastic nonzero-sum differential game problem for \(N\) players. Using the theory of backward stochastic differential equations and Malliavin calculus, we give the explicit form of a Nash equilibrium point.

91A15 Stochastic games, stochastic differential games
91A23 Differential games (aspects of game theory)
60H30 Applications of stochastic analysis (to PDEs, etc.)
Full Text: DOI
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