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囚犯难题与二步Nash均衡
  • ISSN号：1007-6093
  • 期刊名称：《运筹学学报》
  • 时间：0
  • 分类：O225[理学—运筹学与控制论;理学—数学] TP13[自动化与计算机技术—控制科学与工程;自动化与计算机技术—控制理论与控制工程]
  • 作者机构：[1]天津大学管理学院,天津300072
  • 相关基金：国家自然科学基金项目10771026资助.
作者： 吴育华[1], 张庆民[1]
关键词： 运筹学, NASH均衡, 冲突分析, 稳定性分析, Operations research, Nash equilibrium, conflict analysis, stability analysis
中文摘要：

Nash均衡点是非合作对策分析中的一个重要概念，本文基于冲突分析理论中的一些概念，提出一个考虑局中人二步行为的Nash均衡概念．并使用F-H稳定性分析方法求解这扩展的Nash平衡点，最后，基于这二步Nash均衡的概念对囚犯难题进行实证分析，并利用此概念解决了“囚犯难题”的悖论．

英文摘要：

Nash equilibrium point is a fairly important concept in non-cooperative game theory analysis. Basing on several concepts of the conflict Analysis theory, a extended Nash equilibrium concept is proposed in which the players＇ two-step behavior is considered, and using the F-H stability analysis method to solve the all Nash equilibrium points. Furthermore, this concept of extended Nash equilibrium is applied in analyzing and solving the paradox of prisoner＇s puzzle.

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非凸半定规划与二阶锥约束优化的算法研究及应用
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期刊信息
  • 《运筹学学报》
  • 中国科技核心期刊
  • 主管单位:中国科学技术协会
  • 主办单位:中国运筹学会
  • 主编：胡旭东
  • 地址：上海市上大路99号上海大学期刊社
  • 邮编：200444
  • 邮箱：ort@mail.shu.edu.cn
  • 电话：021-66137605
  • 国际标准刊号：ISSN：1007-6093
  • 国内统一刊号：ISSN：31-1732/O1
  • 邮发代号:4-777
  • 获奖情况:
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）
  • 被引量:1362