连续对策的公平性和刺激性(英文)  

Equitability and Excitability of a Continuous Game

作　　者：姜殿玉[1] 

机构地区：[1]淮海工学院对策论及其应用研究所,连云港222005

出　　处：《运筹学学报》2007年第2期1-9,共9页Operations Research Transactions

基　　金：Supported by the Natural Science Foundation of National (No.78970025);Institutes and Universities in Jiangsu Provinve (No. 05KJD110027) of China.

摘　　要：本文用刺激性(感)来描述游戏一个零和对策的两个局中人的风险性和侥幸取胜性,游戏不同的零和对策可能有不同的刺激感,刺激性越大,对策结果的公平性越小;反之亦然,本文解决了如下问题;(1)刺激性和公平性的数学描述是什么?(2)局中人如何保证他们的一局对策的对策结果是最公平的或最有刺激感的?(3)如果两个局中人希望对策结果尽量公平或尽量有刺激感,他们最好从给定的连续对策中选择哪个?In this paper, we use the word ＂excitability＂ to denote degree that two players who play a continuous game have good luck and take a risk, respectively. Different continuous games can have different excitability. The greater excitability is, the smaller equitability is, and vise versa. We shall solve the questions： （1） What are mathematical descriptions of equitability and excitability？ （2） How do players guarantee that their game result is the most equitable or the most excitable？ （3） Which game should be picked from some given games if the players hope their game result is the most equitable or the most excitable？

关 键 词：运筹学 连续对策 公平性 刺激性 虚公平 公平度 刺激度 

分 类 号：O225[理学—运筹学与控制论]