| 变异机制在网络演化博弈中的应用 |
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| 引用本文： | 邢海云,赵建立.变异机制在网络演化博弈中的应用[J].山东大学学报(理学版),2016,51(12):103-107. |
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| 作者姓名： | 邢海云 赵建立 |
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| 作者单位： | 聊城大学数学科学学院, 山东 聊城 252000 |
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| 基金项目： | 国家自然科学基金资助项目(11301274);山东省自然科学基金资助项目(ZR2012AL06) |
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| 摘 要： | 研究了加入回报机制的变异雪堆博弈。在矩阵的半张量积框架下,构建了该网络演化博弈的数学模型,与逻辑的矩阵表达相结合,该数学模型被表示成动态逻辑系统并转化成代数形式。对该动态逻辑演化过程进行分析,结合实例讨论了最终合作稳定性。
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| 关 键 词： | 矩阵的半张量积 雪堆博弈 回报机制 网络演化博弈 |
| 收稿时间： | 2015-12-17 |
Formulation of networked evolutionary games with variation mechanism |
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| XING Hai-yun,ZHAO Jian-li.Formulation of networked evolutionary games with variation mechanism[J].Journal of Shandong University,2016,51(12):103-107. |
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| Authors: | XING Hai-yun ZHAO Jian-li |
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| Institution: | College of Mathematics and Science, Liaocheng University, Liaocheng 252000, Shandong, China |
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| Abstract: | This paper investigates the variation of snowdrift game with reward mechanism was investigated. Using the method of semi-tensor product of matrices, the mathematical model of the networked evolutionary game was built. The network-ed evolutionary game was expressed as a logical dynamic system and then converted into its algebraic form rely on the matrix expression of logic and the method of semi-tensor product of matrices. Then, the evolutionary logical dynamic process was analyzed and the final cooperation stability was discussed through an illustrative example. |
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| Keywords: | snowdrift game network evolution game semi-tensor product of matrices reward mechanism |
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