| 双矩阵对策协同均衡的主对角占优准则及其算法 |
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| 引用本文： | 代业明,高红伟,徐蜜,王桂荣,宣海,尹连领. 双矩阵对策协同均衡的主对角占优准则及其算法[J]. 系统工程理论与实践, 2013, 33(6): 1523-1529. DOI: 10.12011/1000-6788(2013)6-1523 |
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| 作者姓名： | 代业明 高红伟 徐蜜 王桂荣 宣海 尹连领 |
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| 作者单位： | 青岛大学 数学科学学院, 青岛 266071 |
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| 基金项目： | 国家自然科学基金(71171120, 70871064, 70971070, 71011120107); 山东省研究生教育创新计划项目(SDYC08045); 山东省自然科学基金(ZR2010GQ001); 青岛大学校级教学研究项目(JY0943, JY0982); 青岛大学优秀研究生学位论文培育项目(YSPY2011003) |
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| 摘 要： | 提出了判定双矩阵对策中协同均衡局势的"主对角占优"准则, 并从支付的角度对协同混合策略与混合策略以及协同均衡与纳什均衡的关系进行了探讨. 最后使用改进的PSO算法对协同均衡实现了近似求解.
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| 关 键 词： | 双矩阵对策 协同均衡 主对角占优准则 PSO算法 |
| 收稿时间： | 2011-03-14 |
Main diagonal dominant principle and algorithm of equilibrium in joint mixed strategies for bimatrix games |
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| DAI Ye-ming , GAO Hong-wei , XU Mi , WANG Gui-rong , XUAN Hai , YIN Lian-ling. Main diagonal dominant principle and algorithm of equilibrium in joint mixed strategies for bimatrix games[J]. Systems Engineering —Theory & Practice, 2013, 33(6): 1523-1529. DOI: 10.12011/1000-6788(2013)6-1523 |
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| Authors: | DAI Ye-ming GAO Hong-wei XU Mi WANG Gui-rong XUAN Hai YIN Lian-ling |
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| Affiliation: | College of Mathematics, Qingdao University, Qingdao 266071, China |
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| Abstract: | The main diagonal dominant principle is put forward to judge equilibrium in joint mixed strategies for bimatrix games. We discuss the relationship between mixed strategies and joint mixed strategies, and the relationship between Nash equilibrium and equilibrium in joint mixed strategies, in terms of payment. And we find equilibrium in joint mixed strategies through improved PSO algorithm. |
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| Keywords: | bimatrix game equilibrium in joint mixed strategies main diagonal dominant principle PSO algorithm |
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