【作者】 于泳波；

【导师】 高作锋；

【作者基本信息】 燕山大学 ， 运筹学与控制论， 2009， 硕士

【摘要】 对策论中,模糊对策和重复对策逐渐受到关注并成为研究热点。而在合作对策中得到广泛研究的就是在不确定环境下的对策理论研究,模糊合作对策就是其中研究方向之一,它的研究重点集中于局中人参与结盟程度模糊化条件下合作对策解的求解;支付函数模糊化条件下合作对策解的求解。这些具有模糊信息的合作可统称为模糊合作对策。对于这两个研究重点,人们提出各种各样解的概念。每种都满足一定的理性和合理性原则,论文重点研究了第一种模糊合作对策情形。论文主要是在第一种模糊合作对策模型下加入重复合作对策理论,建立了重复模糊合作对策模型,在模糊结盟处于不同的约束条件下,给出了重复n人模糊合作对策的核心几种不同的结构,即阶段模糊对策核心的结构,重复n人模糊合作对策核心、优超核心、恰当核心、常义核心的结构,并讨论了它们之间的关系。并且对重复凸模糊合作对策这一比较重要而又特殊的对策作了研究。此外,论文进一步对重复模糊合作对策核心的特征作了研究。论文是如下组织的:首先介绍对策论的发展史,论文产生的背景以及论文研究的实用价值。其次通过对重复合作对策优超关系的重新定义,给出了重复合作对策的弱核心、弱稳定集的概念,并对解满足的性质进行了研究。接下来介绍了模糊合作对策和重复模糊合作对策的各种解。在模糊结盟处于不同的约束条件下,给出了重复n人模糊合作对策的稳定集和核心几种不同的结构,并讨论了它们的性质及其之间的关系,研究了重复凸模糊合作对策。最后研究了重复模糊合作对策核心的特征。更多还原

【Abstract】 In game theory, A fuzzy game and a repeated game has received a generous concern from scholars and become a research focus in academia. The most studied problem in the cooperative game is the study of game theory in uncertain circumstance. The fuzzy cooperative game is one of its research. Its research focus on players who participate in the degree of fuzzy coalition to solve; To solve cooperative game as pay function in fuzzy circumstance. Those cooperative game with fuzzy information can refer to as the fuzzy cooperative game. For the two research points, people put forward to all sorts of solution concepts .but every satisfies to rational and the principle of rationality. The paper focus on the first fuzzy cooperative game situation.The main thesis is the fuzzy cooperative model by adding repeat cooperative game theory, set up repeat fuzzy cooperative model.It is given several differently structure of core under different condition in the fuzzy allocation n-person fuzzy cooperative game, That is, the structure of core for stage game,the structure of core and proper core and dominance core and crisp core for repeated fuzzy cooperative game .as well as discussed relation each other.And we study repeated convex fuzzy cooperative game. In addition, the paper study the core characteristics of the repeated fuzzy cooperative game .The paper is organized as follows: First,providing histories of classical games theory, background and practical value of the paper. Second,we give the conception of core、weak core, stable set and weak stable set by redefining the notion of domination, then discuss the properties of these solutions in repeated cooperative game.The next we introduce core ,stable set and some basic theories of the fuzzy cooperative game and repeated fuzzy cooperative game. It is given several differently structure of core under different condition in the fuzzy allocation n-person fuzzy cooperative game as well as discussed relation each other.And we study the convex fuzzy cooperative game which is a type of special and important model.Finally, we take the model of reduced game,has joined repeated theory, has established repeated fuzzy reduced game model. We study their core axiomatic characteristics of the game.更多还原