[1] VIOSSAT Y.Correlated equilibria,evolutionary games and population dynamics[D].Paris,France:Ecole Polytechnique,2005. [2] 张青青,汤红波,游伟,等.基于演化博弈的NFV拟态防御架构动态调度策略[J].计算机工程,2022,48(4):30-38,49.ZHANG Q Q,TANG H B,YOU W,et al.Dynamic scheduling strategy of NFV mimic defense architecture based on evolutionary game[J].Computer Engineering,2022,48(4):30-38,49.(in Chinese) [3] NOWAK M.Five rules for the evolution of cooperation[J].Science,2006,314(5805):1560-1563. [4] SANTOS F C,PACHECO J M,LENAERTS T.Evolutionary dynamics of social dilemmas in structured heterogeneous populations[J].Proceedings of the National Academy of Sciences,2006,103(9):3490-3494. [5] WU Z X,XU X J,HUANG Z G,et al.Evolutionary prisoner's dilemma game with dynamic preferential selection[J].Physical Review E,2006,74(2):021107. [6] GÓMEZ-GARDEÑES J,CAMPILLO M,FLORÍA L M,et al.Dynamical organization of cooperation in complex topologies[J].Physical Review Letters,2007,98(10):108103. [7] KESSLER D A,SANDER L M.Fluctuations and dispersal rates in population dynamics[J].Physical Review E,2009,80(4):041907. [8] HAUERT C,DE MONTE S,HOFBAUER J,et al.Volunteering as red queen mechanism for cooperation in public goods games[J].Science,2002,296(5570):1129-1132. [9] LANGER P,NOWAK M A,HAUERT C.Spatial invasion of cooperation[J].Journal of Theoretical Biology,2008,250(4):634-641. [10] PERC M.Transition from Gaussian to Levy distributions of stochastic payoff variations in the spatial prisoner's dilemma game[J].Physical Review E,2007,75(2):022101. [11] CHEN X,WANG L.Promotion of cooperation induced by appropriate payoff aspirations in a small-world networked game[J].Physical Review E,2008,77(1):017103. [12] 刘永奎.复杂网络及网络上的演化博弈动力学研究[D].西安:西安电子科技大学,2010.LIU Y K.Research on complex networks and evolutionary game dynamics on networks[D].Xi'an:Xidian University,2010.(in Chinese) [13] SZABÓ G,FÁTH G.Evolutionary games on graphs[J].Physics Reports,2007,446(4/5/6):97-216. [14] ROCA C P,CUESTA J A,SÁNCHEZ A.Imperfect imitation can enhance cooperation[J].Europhysics Letters,2009,87(4):48005. [15] CRESSMAN R,DASH A T.Evolutionarily stable strategies with two types of player I.Two-species haploid or randomly mating diploid[J].Journal of Applied Probability,1985,22(1):1-14. [16] TAYLOR P D,JONKER L B.Evolutionary stable strategies and game dynamics[J].Mathematical Biosciences,1978,40(1/2):145-156. [17] SZOLNOKI A,PERC M.Promoting cooperation in social dilemmas via simple coevolutionary rules[J].The European Physical Journal B,2009,67(3):337-344. [18] DU J M,WU B,ALTROCK P M,et al.Aspiration dynamics of multi-player games in finite populations[J].Journal of the Royal Society,Interface,2014,11(94):20140077. [19] DI CHIO C,DI CHIO P,GIACOBINI M.An evolutionary game-theoretical approach to particle swarm optimisation[C]//Proceedings of 2008 Conference on Applications of Evolutionary Computing.New York,USA:ACM Press,2008:575-584. [20] ZHANG J L,ZHANG C Y,CHU T G,et al.Resolution of the stochastic strategy spatial prisoner's dilemma by means of particle swarm optimization[J].PLoS One,2011,6(7):e21787. [21] CHEN Y S,YANG H X,GUO W Z,et al.Promotion of cooperation based on swarm intelligence in spatial public goods games[J].Applied Mathematics and Computation,2018,320:614-620. [22] Reinforcement learning:an introduction[J].IEEE Transactions on Neural Networks,2005,16(1):285-286. [23] SILVER D,HUBERT T,SCHRITTWIESER J,et al.Mastering chess and Shogi by self-play with a general reinforcement learning algorithm[EB/OL].[2022-03-01].https://arxiv.org/abs/1712.01815. [24] SUTTON R S.Learning to predict by the methods of temporal differences[J].Machine Learning,1988,3(1):9-44. [25] WATKINS C J C H,DAYAN P.Technical note:Q-learning[J].Machine Learning,1992,8(3):279-292. [26] VAN HASSELT H,GUEZ A,HESSEL M,et al.Learning values across many orders of magnitude[EB/OL].[2022-03-01].https://arxiv.org/abs/1602.07714. [27] NING J,MA S.Evolution of cooperation in the snowdrift game among mobile players with random-pairing and reinforcement learning[J].Physica A:Statistical Mechanics and Its Applications,2013,392(22):5700-5710. [28] ZHANG S J,WANG X Q,CHENG X F,et al.Single crystal growth,structural characterization,thermal and optical properties of a novel organometallic nonlinear optical crystal:MnHg(SCN)4(C2H5NO)2[J].Physica B:Condensed Matter,2010,405(4):1071-1080. [29] ZHANG H F,WU Z X,WANG B H.Universal effect of dynamical reinforcement learning mechanism in spatial evolutionary games[J].Journal of Statistical Mechanics:Theory and Experiment,2012,2012(6):P06005. [30] 徐琳,赵知劲.基于分布式协作Q学习的信道与功率分配算法[J].计算机工程,2019,45(6):160-164,174.XU L,ZHAO Z J.Channel and power allocation algorithm based on distributed cooperative Q learning[J].Computer Engineering,2019,45(6):160-164,174.(in Chinese) [31] 韩晨,牛英滔.基于分层Q学习的联合抗干扰算法[J].计算机工程,2019,45(5):279-284.HAN C,NIU Y T.Joint anti-jamming algorithm based on hierarchical Q learning[J].Computer Engineering,2019,45(5):279-284.(in Chinese) [32] ZHANG L,XIE Y,HUANG C,et al.Heterogeneous investments induced by historical payoffs promote cooperation in spatial public goods games[J].Chaos Solitons & Fractals,2020,133:109675. [33] ZHANG Y,SONG B,ZHANG P.Social behavior study under pervasive social networking based on decentralized deep reinforcement learning[J].Journal of Network and Computer Applications,2017,86:72-81. |