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On a general zero-sum stochastic game with stopping strategy for one player and continuous strategy for the other. (English) Zbl 0613.60039
The author considers a general zero-sum game with a stopping strategy for the first player and a continuous one (determined by a predictable process) for the second one. It is proved that under fairly general assumptions there exists a value of the game and that, under an additional regularity condition, an optimal strategy for the first player exists as well.
Reviewer: T.Bojdecki
##### MSC:
 60G40 Stopping times; optimal stopping problems; gambling theory
##### Keywords:
zero-sum game; stopping strategy; optimal strategy