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arxiv: 1806.00345 · v1 · pith:O5GJZYWQnew · submitted 2018-06-01 · 🧮 math.OC · math.PR

A probabilistic verification theorem for the finite horizon two-player zero-sum optimal switching game in continuous time

classification 🧮 math.OC math.PR
keywords switchingfinitegamehorizonoptimaltwo-playerzero-sumbarriers
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In this paper we study continuous-time two-player zero-sum optimal switching games on a finite horizon. Using the theory of doubly reflected BSDEs with interconnected barriers, we show that this game has a value and an equilibrium in the players' switching controls.

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