Evolutionary games in a generalized Moran process with arbitrary selection strength and mutation

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摘要 Byusingageneralizedfitness-dependentMoranprocess,anevolutionarymodelforsymmetric2×2gamesinawell-mixedpopulationwithafinitesizeisinvestigated.Inthemodel,theindividuals’payoffaccumulatingfromgamesismappedintofitnessusinganexponentfunction.Bothselectionstrengthβandmutationrateεareconsidered.Theprocessisanergodicbirth-deathprocess.Basedonthelimitdistributionoftheprocess,wegivetheanalysisresultsforwhichstrategywillbefavouredwhenεissmallenough.Theresultsdependonnotonlythepayoffmatrixofthegame,butalsoonthepopulationsize.Especially,weprovethatnaturalselectionfavoursthestrategywhichisrisk-dominantwhenthepopulationsizeislargeenough.Forarbitraryβandεvalues,the’Hawk-Dove’gameandthe’Coordinate’gameareusedtoillustrateourmodel.Wegivetheevolutionarystablestrategy(ESS)ofthegamesandcomparetheresultswiththoseofthereplicatordynamicsintheinfinitepopulation.Theresultsaredeterminedbysimulationexperiments.
机构地区 不详
出处 《中国物理B:英文版》 2011年3期
出版日期 2011年03月13日(中国期刊网平台首次上网日期,不代表论文的发表时间)
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