OPTIMAL STOPPING IN A STOCHASTIC GAME

Author:

Kaynar Bahar

Abstract

In this article we consider a stochastic game in which each player draws one or two random numbers between 0 and 1. Players can decide to stop after the first draw or to continue for a second draw. The decision is made without knowing the other players’ numbers or whether the other players continue for a second draw. The object of the game is to have the highest total score without going over 1. In the article, we will characterize the optimal stopping rule for each player.

Publisher

Cambridge University Press (CUP)

Subject

Industrial and Manufacturing Engineering,Management Science and Operations Research,Statistics, Probability and Uncertainty,Statistics and Probability

Reference2 articles.

1. Understanding Probability

2. Optimal stopping in “The Showcase Showdown,”;Coe;The American Statistician,1995

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1. Optimal Stopping Strategies in the Game “The Price Is Right”;Proceedings of the Steklov Institute of Mathematics;2019-12

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3. Optimal Strategies in Best-Choice Game with Incomplete Information — The Voice Show;International Game Theory Review;2016-06

4. EQUILIBRIUM IN n-PERSON GAME OF SHOWCASE SHOWDOWN;Probability in the Engineering and Informational Sciences;2010-04-23

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