The monotone condition for optimal multiple stopping problems
Teruo Tanaka
Abstract
Teruo Tanaka
Abstract
This paper is concerned with the optimal stopping problems for discrete time stochastic processes with the multiple stopping rules. The sufficient condition for the optimality of multiple stopping rules, the so-called monotone condition, is introduced for multiple stopping problems and the optimality of a certain multiple stopping rule is proved in the monotone case.
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This paper is concerned with the optimal stopping problems for discrete time stochastic processes with the multiple stopping rules. The sufficient condition for the optimality of multiple stopping rules, the so-called monotone condition, is introduced for multiple stopping problems and the optimality of a certain multiple stopping rule is proved in the monotone case.
Key concepts: Optimal stopping, Monotone polygon, Stopping time, Optional stopping theorem, Mathematics, Stopping rule, Mathematical optimization, Applied mathematics