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1、TheShapleyvalueTheShapleyvalueEssaysinhonorofLloydS.ShapleyEditedbyAlvinE.RothTherightoftheUniversityofCambridgetoprintandsella/ImannerofbooksHenryVIIIin1534.iCAMBRIDGEUNIVERSITYPRESSCambridgeNewYorkNewRocheHeMelbourneSydneyPublishedbythePressSyndicateoftheUniversity
2、ofCambridgeThePittBuilding,TrumpingtonStreet,CambridgeCB21RP32East57thStreet,NewYork,NY10022,USA10StamfordRoad,Oakleigh,Melbourne3166,Australia©CambridgeUniversityPress1988Firstpublished1988PrintedintheUnitedStatesofAmericaLibraryofCongressCataloging-in-PublicationDa
3、taTheShapleyvalue:essaysinhonorofLloydS.Shapley/editedbyAlvinE.Roth.p.cm.Bibliography:p.ISBN0-521-36177-X1.Economics,Mathematical.2.Gametheory.3.Shapley,LloydS.,1923-.I.Shapley,LloydS.,1923-.II.Roth,AlvinE.,1951-.HB144.S5331988330'.01'5193-dcl913188-2983BritishLibrar
4、yCataloginginPublicationappliedfor.ContentsPrefacepagevii1IntroductiontotheShapleyvalue1AlvinE.Roth1Ancestralpapers2Avalueforn-persongames31LloydS.Shapley3Amethodforevaluatingthedistributionofpowerinacommitteesystem41LloydS.ShapleyandMartinShubikIIReformulationsandge
5、neralizations4Theexpectedutilityofplayingagame51AlvinE.Roth5TheShapley-ShubikandBanzhafpowerindicesasprobabilities71PhilipD.Straffln,Jr.6WeightedShapleyvalues83EhudKalaiandDovSamet7Probabilisticvaluesforgames101RobertJamesWeber8CombinatorialrepresentationsoftheShaple
6、yvaluebasedonaveragerelativepayoffs121UrielG.Rothblum9ThepotentialoftheShapleyvalue127SergiuHartandAndreuMas-ColellviContents10Multilinearextensionsofgames139GuillermoOwenIIICoalitions11Coalitionalvalue155MordecaiKurz12Endogenousformationoflinksbetweenplayersandofcoa
7、litions:anapplicationoftheShapleyvalue175RobertJ.AumannandRogerB.MyersonIVLargegames13Valuesoflargefinitegames195MyrnaHoltzWoodersandWilliamR.Zame14Payoffsinnonatomiceconomies:anaxiomaticapproach207PradeepDubeyandAbrahamNeyman15Valuesofsmoothnonatomicgames:themethodo
8、fmultilinearapproximation217DovMondererandAbrahamNeyman16NondifferentiableTUmarkets:thevalue235Jean-FrangoisMertensVCostallocationa