JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2016, Vol. 51 ›› Issue (12): 103-107.doi: 10.6040/j.issn.1671-9352.0.2015.614

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Formulation of networked evolutionary games with variation mechanism

XING Hai-yun, ZHAO Jian-li*   

  1. College of Mathematics and Science, Liaocheng University, Liaocheng 252000, Shandong, China
  • Received:2015-12-17 Online:2016-12-20 Published:2016-12-20

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.

Key words: snowdrift game, network evolution game, semi-tensor product of matrices, reward mechanism

CLC Number: 

  • O151
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