Evolutionary Game Theory .pdf

Evolutionary Game Theory .pdf

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时间:2019-03-10

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1、FromthebookNetworks,Crowds,andMarkets:ReasoningaboutaHighlyConnectedWorld.ByDavidEasleyandJonKleinberg.CambridgeUniversityPress,2010.Completepreprinton-lineathttp://www.cs.cornell.edu/home/kleinber/networks-book/Chapter7EvolutionaryGameTheoryInChapter6,wedevelopedthebasicideasof

2、gametheory,inwhichindividualplayersmakedecisions,andthepayofftoeachplayerdependsonthedecisionsmadebyall.Aswesawthere,akeyquestioningametheoryistoreasonaboutthebehaviorweshouldexpecttoseewhenplayerstakepartinagivengame.ThediscussioninChapter6wasbasedonconsideringhowplayerssimultan

3、eouslyreasonaboutwhattheotherplayersmaydo.Inthischapter,ontheotherhand,weexplorethenotionofevolutionarygametheory,whichshowsthatthebasicideasofgametheorycanbeappliedeventosituationsinwhichnoindividualisovertlyreasoning,orevenmakingexplicitdecisions.Rather,game-theoreticanalysisw

4、illbeappliedtosettingsinwhichindividualscanexhibitdifferentformsofbehavior(includingthosethatmaynotbetheresultofconsciouschoices),andwewillconsiderwhichformsofbehaviorhavetheabilitytopersistinthepopulation,andwhichformsofbehaviorhaveatendencytobedrivenoutbyothers.Asitsnamesuggest

5、s,thisapproachhasbeenappliedmostwidelyintheareaofevolu-tionarybiology,thedomaininwhichtheideawasfirstarticulatedbyJohnMaynardSmithandG.R.Price[375,376].Evolutionarybiologyisbasedontheideathatanorganism’sgeneslargelydetermineitsobservablecharacteristics,andhenceitsfitnessinagivenen

6、vi-ronment.Organismsthataremorefitwilltendtoproducemoreoffspring,causinggenesthatprovidegreaterfitnesstoincreasetheirrepresentationinthepopulation.Inthisway,fittergenestendtowinovertime,becausetheyprovidehigherratesofreproduction.Thekeyinsightofevolutionarygametheoryisthatmanybehavi

7、orsinvolvetheinteractionofmultipleorganismsinapopulation,andthesuccessofanyoneoftheseorganismsdependsonhowitsbehaviorinteractswiththatofothers.Sothefitnessofanindividualorganismcan’tbemeasuredinisolation;ratherithastobeevaluatedinthecontextofthefullpopulationinwhichitlives.Thisop

8、ensthedoortoanaturalgame-theoreticanalogy:Draft

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