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Networked Evolutionary Model of Snow-Drift Game Based on Semi-Tensor Product

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Document pages: 12 pages

Abstract: This paper investigates the networked evolutionarymodel based on snow-drift game with the strategy of rewards and penalty.Firstly, by using the semi-tensor product of matrices approach, themathematical model of the networked evolutionary game is built. Secondly,combined with the matrix expression of logic, the mathematical model isexpressed as a dynamic logical system and next converted into its evolutionarydynamic algebraic form. Thirdly, the dynamic evolution process is analyzed andthe final level of cooperation is discussed. Finally, the effects of thechanges in the rewarding and penalty factors on the level of cooperation in themodel are studied separately, and the conclusions are verified by examples.

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