National Changhua University of Education Institutional Repository : Item 987654321/16712
English  |  正體中文  |  简体中文  |  全文笔数/总笔数 : 6507/11669
造访人次 : 30093899      在线人数 : 778
RC Version 3.2 © Powered By DSPACE, MIT. Enhanced by NTU Library IR team.
搜寻范围 进阶搜寻

jsp.display-item.identifier=請使用永久網址來引用或連結此文件: http://ir.ncue.edu.tw/ir/handle/987654321/16712

题名: Two New Models For The Two-Person Red-and-Black Game
作者: Chen, May-Ru;Hsiau, Shoou-Ren
贡献者: 數學系
关键词: Bold strategy;Convex function;Nash equilibrium;Timid strategy;Two-person red-and-black game;Win probability function
日期: 2010-03
上传时间: 2013-06-05T07:41:14Z
出版者: Applied Probability Trust
摘要: 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.
關聯: Journal of Applied Probability, 47(1): 97-108
显示于类别:[數學系] 期刊論文

文件中的档案:

档案 大小格式浏览次数
2020101410001.pdf25KbAdobe PDF415检视/开启


在NCUEIR中所有的数据项都受到原著作权保护.

 

DSpace Software Copyright © 2002-2004  MIT &  Hewlett-Packard  /   Enhanced by   NTU Library IR team Copyright ©   - 回馈