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- W2779742712 abstract "An optimal control problem is considered for a stochastic differential equation containing a state-dependent regime switching, with a recursive cost functional. Due to the non-exponential discounting in the cost functional, the problem is time-inconsistent in general. Therefore, instead of finding a global optimal control (which is not possible), we look for a time-consistent (approximately) locally optimal equilibrium strategy. Such a strategy can be represented through the solution to a system of partial differential equations, called an equilibrium Hamilton-Jacob-Bellman (HJB, for short) equation which is constructed via a sequence of multi-person differential games. A verification theorem is proved and, under proper conditions, the well-posedness of the equilibrium HJB equation is established as well." @default.
- W2779742712 created "2018-01-05" @default.
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- W2779742712 date "2017-12-27" @default.
- W2779742712 modified "2023-09-24" @default.
- W2779742712 title "Equilibrium Strategies for Time-Inconsistent Stochastic Switching Systems" @default.
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- W2779742712 doi "https://doi.org/10.48550/arxiv.1712.09505" @default.
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