Backward linear-quadratic stochastic optimal control and nonzero-sum differential game problem with random jumps |
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Authors: | Detao Zhang |
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Institution: | 1.School of Mathematics,Shandong University,Jinan,China |
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Abstract: | This paper studies the existence and uniqueness of solutions of fully coupled forward-backward stochastic differential equations
with Brownian motion and random jumps. The result is applied to solve a linear-quadratic optimal control and a nonzero-sum
differential game of backward stochastic differential equations. The optimal control and Nash equilibrium point are explicitly
derived. Also the solvability of a kind Riccati equations is discussed. All these results develop those of Lim, Zhou (2001)
and Yu, Ji (2008). |
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Keywords: | |
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