Models in cooperative game theory

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1、RodicaBranzei,DinkoDimitrov,StefTijsModelsinCooperativeGameTheory:Crisp,FuzzyandMultichoiceGames{Monograph{January14,2005SpringerBerlinHeidelbergNewYorkHongKongLondonMilanParisTokyoPrefaceThisbookinvestigatestheclassicalmodelofcooperativegameswithtrans-ferableutility

2、(TU-games)andmodelsinwhichtheplayershavethepossi-bilitytocooperatepartially,namelyfuzzyandmultichoicegames.Inacrispgametheagentsareeitherfullyinvolvedornotinvolvedatallincoopera-tionwithsomeotheragents,whileinafuzzygameplayersareallowedtocooperatewithinnitelymanydi

3、erentparticipationlevels,varyingfromnon-cooperationtofullcooperation.Amultichoicegamedescribesanin-termediatecaseinwhicheachplayermayhaveaxednumberofactivitylevels.PartIofthebookisdevotedtothemostdevelopedmodelinthetheoryofcooperativegames,thatofaclassicalTU-gamewit

4、hcrispcoalitions,whichwerefertoascrispgamealongthebook.Itpresentsbasicnotions,solutionsconceptsandclassesofcooperativecrispgamesinsuchawaythatallowsthereadertousethispartasareferencetoolboxwhenstudyingthecorrespondingconceptsfromthetheoryoffuzzygames(PartII)andfromth

5、etheoryofmultichoicegames(PartIII).TheworkonthisbookstartedwhilewewereresearchfellowsatZiF(Bielefeld)fortheprojectProceduralApproachestoCon ictResolution",2002.WethankourhostsMatthiasRaithandOlafGausforgivingusthepossibilitytofreelystructureourresearchplansaswellast

6、heocialsfromtheZiFadministrationfortheirkindhospitality.TheworkofDinkoDimitrovwasgenerouslysupportedbyaMarieCurieResearchFellowshipoftheEuropeanCommunityprogrammeImprovingtheHumanResearchPotentialandtheSocio-EconomicKnowledgeBase"undercontractnumberHPMF-CT-2002-021

7、21conductedatTilburg.ThanksarealsoduetoLuisVIPrefaceG.GonzalezMoralesfortransformingthemanuscriptintothisnalversion.Tilburg,RodicaBranzeiJanuary2005DinkoDimitrovStefTijsContentsPartICooperativegameswithcrispcoalitions1Preliminaries..................................

8、.........52Coresandrelatedsolutionconcepts.....................132.1Imputations,coresandstablesets......................132.2Thecor