多人Subtraction博弈及其随机模型
发布时间：2018-08-18 13:28
【摘要】：本文研究标准联盟矩阵下,多个参与者的subtraction博弈及其随机模型.全文分为四章:第一章绪论.主要介绍2人和多人参与的公平组合博弈的历史及发展,阐述了基本概念与研究现状.第二章主要研究subtraction集是弱增的情况.我们将Krawec的结果从3个参与者扩展到任意多个参与者,并将subtraction集的阶由b = 2扩展到任意b ≥ 2.第三章主要研究subtraction集是非弱增的情况.我们彻底解决了subtraction集的阶为2且3个参与者的subtraction博弈.我们的结果表明,该模型的博弈值序列具有周期性,并且确定出周期和预周期长度的解析表达式,以及每个周期内博弈值序列的精确结构,以及预周期内博弈值序列的精确结构.第四章主要研究了两类特殊的subtraction博弈模型.在这两类博弈中,我们得到了基于Krawec提出的概率模型下的博弈值.
[Abstract]:In this paper, we study the subtraction game and its stochastic model of multiple participants under the standard alliance matrix. The full text is divided into four chapters: the first chapter is an introduction. This paper mainly introduces the history and development of fair combination game in which two or more people participate, and expounds the basic concept and research status. In the second chapter, we study the situation that the subtraction set is weakly increasing. We extend the result of Krawec from 3 participants to any number of participants, and extend the order of subtraction set from b = 2 to any b 鈮，
本文编号：2189614
[Abstract]:In this paper, we study the subtraction game and its stochastic model of multiple participants under the standard alliance matrix. The full text is divided into four chapters: the first chapter is an introduction. This paper mainly introduces the history and development of fair combination game in which two or more people participate, and expounds the basic concept and research status. In the second chapter, we study the situation that the subtraction set is weakly increasing. We extend the result of Krawec from 3 participants to any number of participants, and extend the order of subtraction set from b = 2 to any b 鈮，
本文编号：2189614
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