Stochastic optimal control problem with infinite horizon driven by G-Brownian motion
2018 ◽
Vol 24
(2)
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pp. 873-899
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Keyword(s):
The present paper considers a stochastic optimal control problem, in which the cost function is defined through a backward stochastic differential equation with infinite horizon driven by G-Brownian motion. Then we study the regularities of the value function and establish the dynamic programming principle. Moreover, we prove that the value function is the unique viscosity solution of the related Hamilton−Jacobi−Bellman−Isaacs (HJBI) equation.
1984 ◽
Vol 29
(9)
◽
pp. 836-837
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2018 ◽
Vol 301
(S1)
◽
pp. 1-14
2015 ◽
Vol 19
(4)
◽
pp. 1051-1072
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2014 ◽
Vol 29
(1)
◽
pp. 67-85
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