JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2015, Vol. 50 ›› Issue (11): 113-118.doi: 10.6040/j.issn.1671-9352.0.2014.592

Previous Articles     Next Articles

Strategy consensus of networked evolutionary games

GE Mei-xia, LI Ying, ZHAO Jian-li, XING Hai-yun   

  1. College of Mathematics and Science, Liaocheng University, Liaocheng 252056, Shandong, China
  • Received:2014-12-28 Revised:2015-07-22 Online:2015-11-20 Published:2015-12-09

Abstract: The strategy consensus of networked evolutionary games was considered. According to the strategy updating rule, the profile of the networked evolutionary game was expressed as a k-valued logical dynamic system by using the semi-tensor product of matrices, and this system was used to analyze the dynamic behaviors of it. Finally, the strategy consensus of the networked evolutionary game was obtained, which provides theory basis for continued to explore the property of networked evolutionary games.

Key words: strategy consensus, network evolutionary game, semi-tensor product of matrices, strategy updating rule

CLC Number: 

  • O151
[1] NOWAK M A, MAY R M. Evolutionary games and spatial chaos[J].Nature, 1992, 359:826-829.
[2] NOWAK M A, MAY R M.The spatial dilemmas of evolution[J].Int J Bifu Chaos, 1993, 3(1):35-78.
[3] SZABO G, TOKE C. Evolutionary prisoner's dilemma game on a square lattice[J].Physical Review E, 1998, 58(1):69-73.
[4] SANTOS F C, SANTOS M D, PACHECO J M. Social diversity promotes the emergence of cooperation in public goods games[J].Nature, 2008, 454(7201):213-216.
[5] 程代展,齐洪胜.矩阵的半张量积——理论与应用[M].2版. 北京:科学出版社,2011. CHENG Daizhan, Qi Hongsheng. Exhibition on behalf of half tensor matrix product-theory and application[M].2nd ed. Beijing:Science Press, 2011.
[6] CHENG Daizhan. Input-state approach to Boolean networks[J]. IEEE Transactions on Neural New, 2009, 20:512-521.
[7] LI Fangfei, SUN Jitao. Stability and stabilization of multivalued logical network[J]. Nonlinear Analysis:Real World Applications, 2011, 12(6):3701-3712.
[8] LIU Zhenbin, WANGYuzhen. General logical expression of k-valued and Mix-valued Pseudo-logical functions[C]//Proceedings of the 31st Chinese Control Conference.[S.l.]:[s.n.], 2012.
[9] CHENG Daizha, HE Fenghua, QI Hongsheng, et al. Modeling, analysis andcontrol of networked evolutionary games[J].IEEE Transactions on Automatic Control, 2015, 60(9):2402-2415
[10] LJUNG L, SODERSTROM T. Theory and practice of recursive identication[M]. Cambridge:the MIT Press, 1982.
[11] CHENG Daizhan, QI Hongsheng, HE Fenghua, et al. Semi-tensor product approach to networked evolutionary games[J].Control Theory Tech, 2014, 12(2):198-214.
[12] QI Hongsheng, CHENG Daizhan, DONG Hairong. On networked evolutionary games-part 1:formulation[C]//Proceedings of the 19th IFAC World Congress. Cape Town:IFAC, 2014:275-280.
[13] CHENG Daizhan, HE Fenghua, XU Tingting. On networked evolutionary games-part 2:dynamics and control[C]//Proceedings of the 19th IFAC World Congress. Cape Town:IFAC, 2014:281-286.
[14] 吴敏,何勇.时滞系统鲁棒控制-自由权矩阵方法[M]. 北京:科学出版社,2008. WU Min, HE Yong. Robust control of delay systems-liberty matrix method[M]. Beijing:Science Press, 2008.
[1] XING Hai-yun, ZHAO Jian-li. Formulation of networked evolutionary games with variation mechanism [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2016, 51(12): 103-107.
[2] DENG Lei, ZHAO Jian-li, LIU Hua, LI Ying. Controllability and observability of k-valued control networks [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2015, 50(04): 27-35.
[3] CHENG Daizhan, ZHAO Yin, XU Xiangru. Mix-valued logic and its applications [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2011, 46(10): 32-44.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
No Suggested Reading articles found!