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Please use this identifier to cite or link to this item: http://ir.ncue.edu.tw/ir/handle/987654321/16712

Title: Two New Models For The Two-Person Red-and-Black Game
Authors: Chen, May-Ru;Hsiau, Shoou-Ren
Contributors: 數學系
Keywords: Bold strategy;Convex function;Nash equilibrium;Timid strategy;Two-person red-and-black game;Win probability function
Date: 2010-03
Issue Date: 2013-06-05T07:41:14Z
Publisher: Applied Probability Trust
Abstract: In a two-person red-and-black game, each player holds an integral amount of chips. At each stage of the game, each player can bet any integral amount in his possession, winning the chips of his opponent with a probability which is a function of the ratio of his bet to the sum of both players' bets and is called a win probability function. Both players seek to maximize the probability of winning the entire fortune of his opponent. In this paper we propose two new models. In the first model, at each stage, there is a positive probability that two players exchange their bets. In the second model, the win probability functions are stage dependent. In both models, we obtain suitable conditions on the win probability functions such that it is a Nash equilibrium for the subfair player to play boldly and for the superfair player to play timidly.
Relation: Journal of Applied Probability, 47(1): 97-108
Appears in Collections:[math] Periodical Articles

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