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• W3100394297 abstract "We study a zero-sum stochastic differential game (SDG) in which one controller plays an impulse control while their opponent plays a stochastic control. We consider an asymmetric setting in which the impulse player commits to, at the start of the game, performing less than q impulses (q can be chosen arbitrarily large). In order to obtain the uniform continuity of the value functions, previous works involving SDGs with impulses assume the cost of an impulse to be decreasing in time. Our work avoids such restrictions by requiring impulses to occur at rational times. We establish that the resulting game admits a value, and in turn, the existence and uniqueness of viscosity solutions to an associated Hamilton-Jacobi-Bellman-Isaacs quasi-variational inequality." @default.
• W3100394297 created "2020-11-23" @default.
• W3100394297 creator A5057268089 @default.
• W3100394297 date "2017-08-29" @default.
• W3100394297 modified "2023-09-23" @default.
• W3100394297 title "A Zero-Sum Stochastic Differential Game with Impulses, Precommitment, and Unrestricted Cost Functions" @default.
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• W3100394297 doi "https://doi.org/10.1007/s00245-017-9445-x" @default.
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