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1、ARTICLEINPRESSComputerCommunicationsxxx(2010)xxx–xxxContentslistsavailableatScienceDirectComputerCommunicationsjournalhomepage:www.elsevier.com/locate/comcomP2Psoftsecurity:OnevolutionarydynamicsofP2Pincentivemechanisma,c,*b,cdeYufengWang,AkihiroNakao,AthanasiosV.Vasilakos,JianhuaMaaJiangsuK
2、eyLaboratoryofWirelessCommunications,NanjingUniversityofPostsandTelecommunications,Nanjing210003,ChinabUniversityofTokyo,Tokyo113-0033,JapancNationalInstituteofInformationandCommunicationsTechnology(NICT),Tokyo184-8795,JapandUniversityofWesternMacedonia,Kozani50100,GreeceeHoseiUniversity,Tok
3、yo184-8584,JapanarticleinfoabstractArticlehistory:Thispaperthoroughlyinvestigatestheevolutionarydynamicsofsoftsecuritymechanism,namely,reci-Availableonlinexxxxprocity-basedincentivemechanism,inP2PsystemsbasedonEvolutionaryGameTheory(EGT).Bysoftsecuritymechanism,itmeanssocialcontrolmechanisms
4、toovercomepeers’selfish(rational)behaviors,Keywords:andencouragecooperationinP2Psystems.Specifically,thereexistthreestrategiesinP2Psystems:P2Palwayscooperative(ALLC),alwaysdefect(ALLD)andreciprocator(R).InsteadofexistingworkwhichtakeSoftsecurityitforgrantedthat,likeALLCusers,Rusersdidnotbearan
5、yinformation-seekingcost,weassumesmallEvolutionaryGameTheory(EGT)reciprocationcost,andstudygeneralizedmutation-selectiondynamics.Ourcontributionsarethreefold:Incentivemechanismfirstly,weproveandillustratethat,inawell-mixedP2Pstructure,ALLDistheonlystrictNashequilib-rium;secondly,weinferthespe
6、cificconditionunderwhichevolutiondynamicsexhibitsrock-scissors-paperoscillationinastructuredP2Ppopulation.Thatis,thepopulationcyclesfromALLDtoRtoALLCandbacktoALLD;finally,wetheoreticallyillustratethattheintensityofselectionplaysanimportantroleintheevolutionarydynamicsofP2Pincentivemechanism.Th
7、atis,whentheintensityofselectionisrel-ativelyweakandreciprocationcostlimitstozero,thetimeaveragecanbemostlyconcentratedonrecip-rocator.Inbrief,consideringtheexistenceofreciprocationcostandthesmallmutationinP2Pincentivemechanisms,unlikeexistingwork,