Stochastic Perron for stochastic target games

Erhan Bayraktar and Jiaqi Li

Papers from arXiv.org

Abstract: We extend the stochastic Perron method to analyze the framework of stochastic target games, in which one player tries to find a strategy such that the state process almost surely reaches a given target no matter which action is chosen by the other player. Within this framework, our method produces a viscosity sub-solution (super-solution) of a Hamilton-Jacobi-Bellman (HJB) equation. We then characterize the value function as a viscosity solution to the HJB equation using a comparison result and a byproduct to obtain the dynamic programming principle.

Date: 2014-08, Revised 2016-04
New Economics Papers: this item is included in nep-gth and nep-ore
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Published in Annals of Applied Probability 2016, Vol. 26, No. 2, 1082-1110

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