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《International Journal of Automation and Computing》 2017年02期
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Dynamics and Stability of Potential Hyper-networked Evolutionary Games

Ting Liu  Yuan-Hua Wang  Dai-Zhan Cheng  
【摘要】:This paper considers the modeling and convergence of hyper-networked evolutionary games(HNEGs). In an HNEG the network graph is a hypergraph, which allows the fundamental network game to be a multi-player one. Using semi-tensor product of matrices and the fundamental evolutionary equation, the dynamics of an HNEG is obtained and we extend the results about the networked evolutionary games to show whether an HNEG is potential and how to calculate the potential. Then we propose a new strategy updating rule, called the cascading myopic best response adjustment rule(MBRAR), and prove that under the cascading MBRAR the strategies of an HNEG will converge to a pure Nash equilibrium. An example is presented and discussed in detail to demonstrate the theoretical and numerical results.
【作者单位】Key
【关键词】(Hyper-) Networked evolutionary game(HNEG) potential cascading myopic best response adjustment rule(MBRAR) Nash equilibrium semi-tensor product of matrices
【基金】:supported partly by National Natural Science Foundation of China(Nos.61074114 and 61273013)
【分类号】:O157.5
【正文快照】:
1 IntroductionGame theory is initiated by the work of von Neumann[1],and followed by a book[2]based on this work.Since then ithas been developed rapidly and become a formal,math-ematical discipline.Nash[3]has made a significant con-tribution to non-coope

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