Abstract:Prisoner’s dilemma is an important tool to study the adaptation of cooperative strategies. Individuals can maximize their profits by cooperating with each other. In this paper, the method of ecological simulation is adopted to study the effects of noise and interaction frequency on the evolution of cooperative strategies in the context of the Noisy Iterated Prisoner’s Dilemma (NIPD), a version of the Iterated Prisoner’s Dilemma (IPD). The results illustrate that noise and interaction frequency are important factors to the surviving strategies.
赵小薇, 夏昊翔, 张潇. 噪音水平和交互频次对策略演化的影响[J]. 复杂系统与复杂性科学, 2016, 13(4): 96-101.
ZHAO Xiaowei, XIA Haoxiang, ZHANG Xiao. Effects of Noise and Interaction Frequency on the Evolution of Cooperative Strategies[J]. Complex Systems and Complexity Science, 2016, 13(4): 96-101.
[1] Hamilton A R. The evolution of cooperation[J].Science,1981,211(3):1390-1396. [2] Nowak M. Five rules for the evolution of cooperation[J].Science,2006,314(5805):1560-1563. [3] Huberman B A,Glance N S. Evolutionary games and computer simulations[J].Proceedings of the National Academy Sciences,1993,(3):7716-7718. [4] Doz Y L. The evolution of cooperation in strategic alliances: initial conditions or learning processes?[J].Strategic Management Journal,1996,17(s1):55-83. [5] Gómez-Gardenes J,Reinares I,Arenas A,et al. Evolution of cooperation in multiplex networks[J].Scientific Reports,2012,2:620. [6] Santos F C,Pinheiro F L,Lenaerts T,et al. The role of diversity in the evolution of cooperation[J].Journal of Theoretical Biology,2011,299:88-96. [7] 王先甲,全吉,刘伟兵. 有限理性下的演化博弈与合作机制研究[J].系统工程理论与实践,2011, 31(S1): 82-93. Wang Xianjia,Quan Ji,Liu Weibing.Research on evolutionary garne and cooperation mechanism under bounded rationality[J].System Engineering Theory & Practice,2011,31(S1):82-93. [8] 杨阳,荣智海,李翔. 复杂网络演化博弈理论研究综述[J].复杂系统与复杂性科学,2008,5(4):47-55. Yang Yang,Rong Zhihai,Li Xiang,A review of the evolution game theory of complex networks[J].Complex Systems and Complexity Science,2008,5(4):47-55. [9] Wu J,Axelrod R. How to cope with noise in the Iterated Prisoner’s Dilemma[J].The Journal of Conflict Resolution,1995,39(1):183-189. [10] Axelrod R,Dion D. The further evolution of cooperation[J].Science,1988,242(4884):1385-1390. [11] Nowak M,Sigmund K. Tit for tat in heterogeneous populations[J].Nature,1992,355(6357):250-253. [12] Sugden R. The Evolution of Rights, Co-operation and Welfare[M].Oxford: Blackwell,1986. [13] Boyd, R. Mistakes allow evolutionary stability in the repeated prisoner's dilemma game[J].Journal of Theoretical Biology,1989,136(1):47-56. [14] Kraines D,Kraines V. Pavlov and the prisoner’s dilemma[J].Theory and Decision,1989,26(3):47-79. [15] Kraines D,Kraines V. Learning to cooperate with pavlov an adaptive strategy for the iterated prisoner’s dilemma with noise[J].Theory and Decision,1993,35:107-150. [16] Imhof L A,Fudenberg D,Nowak M. Tit-for-tat or Win-stay, Lose-shift?[J].Theory of Bioloyg,2007,247(3):574-580. [17] Zhao X,Xia H,Yu H,et al. Agents’ cooperation based on long-term reciprocal altruism[C]//Proceedings of the 25th International Conference on Industrial Engineering and Other Applications of Applied Intelligent Systems,2012,689-698. [18] Nowak M,Sigmund K. A strategy of win-stay, lose-shift that outperforms tit-for-tat in the Prisoner's Dilemma game[J].Nature,1993,364(6432):56-58. [19] Hamilton A R.The Evolution of Cooperation[M].New York:Basic Books,1984. [20] Molander P. The optimal level of generosity in a selfish, uncertain environment[J].The Journal of Conflict Resolution,1985,29(4):611-618. [21] Zhang G Q,Sun Q B,Wang L. Noise-induced enhancement of network reciprocity in social dilemmas[J].Chaos Solitons & Fractals,2013,3(3):31-35. [22] Yao Y,Chen S S. Multiplicative noise enhances spatial reciprocity[J].Physica A,2014,413:432-437.