Evolutionary Game Dynamics in a Fitness-Dependent Wright-Fisher Process with Noise-中国期刊网

摘要 Evolutionarygamedynamicsinfinitesizepopulationscanbedescribedbyafitness-dependentWrightFisherprocess.Weconsidersymmetric2x2gamesinawell-mixedpopulation.Inourmodel,twoparameterstodescribethelevelofplayer’srationalityandnoiseintensityinenvironmentareintroduced.Incontrastwiththefixationprobabilitymethodthatusedinanoiselesscase,theintroducingofthenoiseintensityparametermakestheprocessanergodicMarkovprocessandbasedonthelimitdistributionoftheprocess,wecananalysistheevolutionarystablestrategy(ESS)ofthegames.WeillustratetheeffectsofthetwoparametersontheESSofgamesusingthePrisoner’sdilemmagames(PDG)andthesnowdriftgames(SG).WealsocomparetheESSofourmodelwiththatofthereplicatordynamicsininfinitesizepopulations.Theresultsaredeterminedbysimulationexperiments.

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Evolutionary Game Dynamics in a Fitness-Dependent Wright-Fisher Process with Noise

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Evolutionary Game Dynamics in a Fitness-Dependent Wright-Fisher Process with Noise

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