2003Journal of Interdisciplinary MathematicsRequires access

The monotone condition for optimal multiple stopping problems

Teruo Tanaka

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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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What this paper is about

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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OpenAlex reports 2 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available 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.

Key concepts: Optimal stopping, Monotone polygon, Stopping time, Optional stopping theorem, Mathematics, Stopping rule, Mathematical optimization, Applied mathematics

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