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-  2016 

变异机制在网络演化博弈中的应用
Formulation of networked evolutionary games with variation mechanism

DOI: 10.6040/j.issn.1671-9352.0.2015.614

Keywords: 矩阵的半张量积,雪堆博弈,回报机制,网络演化博弈,
snowdrift game
,network evolution game,semi-tensor product of matrices,reward mechanism

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Abstract:

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。
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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