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1、MinoritiesandStorableVotesAlessandraCasellayThomasPalfreyzRaymondRiezmanxOriginalversion2006,revisedMarch2008AbstractThepaperstudiesasimplevotingsystemthatcanincreasethepowerofmi-noritieswithoutsacri…cingaggregatee¢ciencyortreatingvotersasymmetrically.Storablevotesgranteachvoterastockofvotestospend
2、asdesiredoveraseriesofbinarydecisionsandthuselicitvoters’intensityofpreferences.Thepotentialofthemechanismisparticularlyclearinthepresenceofsystematicminorities:byaccumulatingvotesonissuesthatitdeemsmostimportant,theminoritycanwinoccasionally.Butbecausethemajoritytypicallycanoutvoteit,theminoritywin
3、sonlyifitsstrengthofpreferenceishighandthemajority’sstrengthofpreferenceislow.Theresultisthattheminority’spreferencesarerepresented,whileaggre-gatee¢ciencyeitherfallslittleorinfactrises,relativetosimplemajorityvoting.Thetheoreticalpredictionsofourmodelarecon…rmedbyaseriesofexperiments:thefrequencyof
4、minorityvictories,therelativepayo¤oftheminorityversusthemajority,andtheaggregatepayo¤sallmatchthetheory.Wegratefullyacknowledge…nancialsupportfromtheNationalScienceFoundation,PLESS,CASSEL,andSSEL.WeacknowledgehelpfulcommentsfromparticipantsoftheConferenceinTributetoJean-JacquesLa¤ontinToulouse,theE
5、conometricSocietyWorldCongress,andseminarsattheInstituteforAdvancedStudyinPrinceton,Georgetown,NYU,theUniversityofVenice,theEuropeanUniversityInstitute,andCORE.yColumbiaUniversity,Greqam,NBER,CEPR,ac186@columbia.eduzCaltech,trp@hss.caltech.eduxUniversityofIowa,GEP,CES-ifo,raymond-riezman@uiowa.edu1I
6、ntroductionRecentdecadeshavewitnessedhistorice¤ortsatdesigningdemocraticinstitutions,atmanylevels.NewconstitutionswerecreatedinmuchofEasternEuropeandthefor-merSovietRepublics.InternationalorganizationssuchastheEuropeanUnionandtheWorldTradeOrganizationhavebeenevolvingrapidly,andmanydevelopingcountrie
7、shavemovedfromautocraticregimestoregimesbasedonelectedrepresentationwithma-joritarianprinciples.Whilemajoritarianprinciplesprovideasolidfoundationfordemocracy,thereareimperfections.Thispaperfocusesono