| 网络演化博弈的策略一致性 |
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| 引用本文： | 葛美侠,李莹,赵建立,邢海云. 网络演化博弈的策略一致性[J]. 山东大学学报(理学版), 2015, 50(11): 113-118. DOI: 10.6040/j.issn.1671-9352.0.2014.592 |
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| 作者姓名： | 葛美侠 李莹 赵建立 邢海云 |
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| 作者单位： | 聊城大学数学科学学院, 山东 聊城 252056 |
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| 基金项目： | 国家自然科学基金资助项目(11171226,11301247);山东省自然科学基金资助项目(ZR2012FQ005) |
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| 摘 要： | 研究了网络演化博弈达到稳定状态时的一种策略形式。根据策略更新规则,利用矩阵的半张量积方法把网络演化博弈表示为离散时间k-值逻辑动态系统,并通过研究k值逻辑网络分析网络演化博弈的动态行为。给出了网络演化博弈策略一致性的充要条件,为继续探讨网络演化博弈的其他性质提供了理论依据。
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| 关 键 词： | 网络演化博弈 矩阵的半张量积 策略更新规则 策略一致性 |
| 收稿时间： | 2014-12-28 |
Strategy consensus of networked evolutionary games |
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| GE Mei-xia,LI Ying,ZHAO Jian-li,XING Hai-yun. Strategy consensus of networked evolutionary games[J]. Journal of Shandong University, 2015, 50(11): 113-118. DOI: 10.6040/j.issn.1671-9352.0.2014.592 |
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| Authors: | GE Mei-xia LI Ying ZHAO Jian-li XING Hai-yun |
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| Affiliation: | College of Mathematics and Science, Liaocheng University, Liaocheng 252056, Shandong, China |
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| Abstract: | The strategy consensus of networked evolutionary games was considered. According to the strategy updating rule, the profile of the networked evolutionary game was expressed as a k-valued logical dynamic system by using the semi-tensor product of matrices, and this system was used to analyze the dynamic behaviors of it. Finally, the strategy consensus of the networked evolutionary game was obtained, which provides theory basis for continued to explore the property of networked evolutionary games. |
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| Keywords: | strategy consensus network evolutionary game semi-tensor product of matrices strategy updating rule |
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