资源描述：
《taylor social choice and the mathematics of manipulation外语英文电子书》由会员上传分享，免费在线阅读，更多相关内容在教育资源-天天文库。
1、P1:JZY/KDFCB799-FM.xmlCB799B/Taylor0521810523March31,20059:20ThispageintentionallyleftblankiiP1:JZY/KDFCB799-FM.xmlCB799B/Taylor0521810523March31,20059:20SocialChoiceandtheMathematicsofManipulationHonestyinvoting,itturnsout,isnotalwaysthebestpolicy.Indeed,intheearly1970s,AllanGibbardan
2、dMarkSatterthwaite,buildingontheseminalworkofNobelLaureateKennethArrow,provedthatwiththreeormorealternativesthereisnoreasonablevotingsystemthatisnon-manipulable;voterswillalwayshaveanopportunitytobenefitbysubmittingadisingenuousballot.Theensuingdecadesproducedanumberoftheoremsofstriking
3、mathematicalnaturalitythatdealtwiththemanipulabilityofvotingsystems.Thisbookpresentsmanyoftheseresultsfromthelastquarterofthetwentiethcentury–especiallythecontributionsofeconomistsandphilosophers–fromamathematicalpointofview,withmanynewproofs.Thepresentationisalmostcompletelyself-conta
4、inedandrequiresnoprerequisitesexceptawillingnesstofollowrigorousmathematicalarguments.aland.tayloristheMarieLouiseBaileyProfessorofMathematicsatUnionCollege,wherehehasbeensincereceivinghisPh.D.fromDartmouthCollegein1975.Hisresearchinterestshaveincludedlogicandsettheory,finiteandinfinitar
5、ycombinatorics,simplegames,andsocialchoicetheory.HeistheauthorofMathematicsandPolitics:Strategy,Voting,Power,andProofandcoauthorofFairDivision:FromCake-CuttingtoDisputeResolutionandTheWin-WinSolution:GuaranteeingFairSharestoEverybody(bothwithStevenJ.Brams)andSimpleGames:DesirabilityRel
6、ations,Trading,andPseudoweightings(withWilliamS.Zwicker).iP1:JZY/KDFCB799-FM.xmlCB799B/Taylor0521810523March31,20059:20iiP1:JZY/KDFCB799-FM.xmlCB799B/Taylor0521810523March31,20059:20OUTLOOKSPUBLISHEDBYCAMBRIDGEUNIVERSITYPRESSANDTHEMATHEMATICALASSOCIATIONOFAMERICAMathematicalcontentisno
7、tconfinedtomathematics.EugeneWignernotedtheunreasonableeffectivenessofmathematicsinthephysicalsciences.Deepmathematicalstructuresalsoexistinareasasdiverseasgeneticsandart,financeandmusic.Thediscoveryofthesemathematicalstructureshasinturninspirednewquestionswithinpuremathematics.IntheOu
