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1、IEEEJOURNALONSELECTEDAREASINCOMMUNICATIONS,VOL.25,NO.3,APRIL2007517SpectrumSharingforUnlicensedBandsRaulEtkin,StudentMember,IEEE,AbhayParekh,Member,IEEE,andDavidTse,Member,IEEEAbstractWestudyaspectrumsharingprobleminanunli-shouldadapttoeachspecificscenario,takingi
2、ntoaccountthecensedbandwheremultiplesystemscoexistandinterferewithnumberofsystemssharingthespectruminagiventimeandeachother.Duetoasymmetriesandselfishsystembehavior,un-location,andconsideringtheparticularinteractionbetweenfairandinefficientsituationsmayarise.Weinve
3、stigatewhetherthesystems.However,addingflexibilitytoselfishsystemsmayefficiencyandfairnesscanbeobtainedwithself-enforcingspec-trumsharingrules.Theseruleshavetheadvantageofnotleadtoinefficientandunfairsituations.Forexample,agreedyrequiringacentralauthoritythatverifiesc
4、ompliancetothesystemmaynothaveanincentivetofollowthespectrumprotocol.sharingrules,andasaresultmayusemoreresources(e.g.Anyself-enforcingprotocolmustcorrespondtoanequilibriumpower,bandwidth)thanallowed.ofagame.Wefirstanalyzethepossibleoutcomesofaoneshotgame,andobser
5、vethatinmanycasesaninefficientsolutionTheissueofincentiveswillplayacentralroleinourresults.However,systemsoftencoexistforlongperiodsandaanalysis.Weassumethattheresourceallocationisdeterminedrepeatedgameismoreappropriatetomodeltheirinteraction.astheoutcomeofagame.E
6、achsystemcalculatesasetofInthisrepeatedgamethepossibilityofbuildingreputationsandoperatingpointswhichareNashequilibriaofthegame.Whenapplyingpunishmentsallowsforalargersetofself-enforcingthereismorethanoneNashEquilibriumpoint,thesystemsoutcomes.Whenthissetincludes
7、theoptimaloperatingpoint,efficient,fair,andincentivecompatiblespectrumsharingbecomesfollowaconvention(thiscouldbewidelyknownstandardpossible.WepresentexamplesthatillustratethatinmanycasesoranFCCmandate)topickoneofthesepoints.Sincethetheperformancelossduetoselfishbe
8、haviorissmall.WealsosystemsoperateataNashequilibriumthereisnoincentiveprovethatourresultsaretightandquantifythebestachievableforanyindividualsystemtodeviatefro
