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1、Availableonlineatwww.sciencedirect.comMathematicsandComputersinSimulation76(2008)430446TrustandcooperationfromafuzzyperspectiveM.S.Al-Mutairia,∗,K.W.Hipela,1,M.S.Kamelb,2aDepartmentofSystemsDesignEngineering,UniversityofWaterloo,Waterloo,Ontario,CanadaN2L3G1bDepartmentofElectricaland
2、ComputerEngineering,UniversityofWaterloo,Waterloo,Ontario,CanadaN2L3G1Availableonline8April2007AbstractThewell-knowngameofPrisonersDilemma,whichreflectsabasicsituationinwhichonemustdecidewhetherornottocooperatewithacompetitor,issystematicallysolvedusingafuzzyapproachtomodelingtrust.Wh
3、eninvolvedinadispute,twoormorepartiesneedtomakedecisionswithfullyorpartiallyconflictingobjectives.Insituationswherereachingamorefavorableoutcomedependsuponcooperationandtrustbetweenthetwoconflictingparties,someofthementalandsubjectiveattitudesofthedecisionmakersmustbeconsidered.Whileth
4、edecisiontocooperatewithothersbearssomerisksduetouncertaintyandlossofcontrol,notcooperatingmeansgivinguppotentialbenefits.Inpractice,decisionsmustbemadeunderrisk,uncertainty,andincompleteorfuzzyinformation.Becauseitisabletoworkwellwithvague,ambiguous,imprecise,noisyormissinginformatio
5、n,thefuzzyapproachiseffectiveformodelingsuchmulticriteriaconflictingsituations.Thefuzzyprocedureisusedtotakeintoaccountsomeofthesubjectiveattitudesofthedecisionmakers,especiallywithrespecttotrust,thataredifficulttomodelusinggametheory.©2007IMACS.PublishedbyElsevierB.V.Allrightsreserved
6、.Keywords:Cooperativegames;Fuzzylogic;Decisionmaking;Prisonersdilemma;Trust1.IntroductionGametheoryisawidelyacceptedprocedureforaddressingproblemsarisinginengineering,economics,psychology,biology,business,andpolitics[7,13,18,22,27,44].Themoderndevelopmentofgametheorydatesbacktotheyea
7、r1944whenvonNeumannandMorgensternpublishedtheirseminalbookentitledTheTheoryofGamesandEconomicBehavior[49].JohnNash[39],whointroducedtheconceptofaNashEquilibriumintoclassicalgametheory,wontheNobelPrizeinEconomicsforthisinsightfulconcept.Whenagroupofdecisionmakersoragents(referredtoasp
8、layersingame
