Studies in Choice and Welfare Rudolf Fara Dennis Leech Maurice Salles Editors Voting Power and Procedures Essays in Honour of Dan Felsenthal and Moshé Machover Studies in Choice and Welfare Editors-in-Chief M.Fleurbaey,USA M.Salles,France SeriesEditors B.Dutta,UnitedKingdom W.Gaertner,Germany C.HerreroBlanco,Spain B.Klaus,Switzerland P.K.Pattanaik,USA K.Suzumura,Japan W.Thomson,USA Forfurthervolumes: http://www.springer.com/series/6869 DanFelsenthal MoshéMachover.PhotobyHannahMachover Rudolf Fara Dennis Leech Maurice Salles (cid:2) (cid:2) Editors Voting Power and Procedures Essays in Honour of Dan Felsenthal and Moshé Machover 123 Editors RudolfFara DennisLeech CentreforPhilosophyofNaturalandSocial DepartmentofEconomics Science UniversityofWarwick LondonSchoolofEconomicsandPolitical Coventry Science UnitedKingdom London UnitedKingdom MauriceSalles CREM UniversitédeCaenBasse-Normandie Caen France StudiesinChoiceandWelfareISSN1614-0311 ISBN978-3-319-05157-4 ISBN978-3-319-05158-1(eBook) DOI10.1007/978-3-319-05158-1 SpringerChamHeidelbergNewYorkDordrechtLondon LibraryofCongressControlNumber:2014940732 ©SpringerInternationalPublishingSwitzerland2014 Thisworkissubjecttocopyright.AllrightsarereservedbythePublisher,whetherthewholeorpartof thematerialisconcerned,specificallytherightsoftranslation,reprinting,reuseofillustrations,recitation, broadcasting,reproductiononmicrofilmorinanyotherphysicalway,andtransmissionorinformation storageandretrieval,electronicadaptation,computersoftware,orbysimilarordissimilarmethodology nowknownorhereafterdeveloped.Exemptedfromthislegalreservationarebriefexcerptsinconnection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. 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Printedonacid-freepaper SpringerispartofSpringerScience+BusinessMedia(www.springer.com) Contents PartI OverviewandInterview Introduction ...................................................................... 3 RudolfFara,DennisLeech,andMauriceSalles AnInterview withDanFelsenthalandMoshé Machover: Biography,ContextandSomeFurtherThoughtsonVoting................ 11 RudolfFara PartII FoundationsofPowerMeasurement The Measurement of Voting Power as a Special Case oftheMeasurementofPoliticalPower ........................................ 33 AbrahamDiskinandMosheKoppel OntheMeasurementofSuccessandSatisfaction............................ 41 RenévandenBrinkandFrankSteffen VotingPowerTechniques:WhatDoTheyMeasure? ........................ 65 SreejithDas VotingPowerandProbability .................................................. 97 ClausBeisbart A Probabilistic Re-View on Felsenthal and Machover’s “TheMeasurementofVotingPower”.......................................... 117 OlgaBirkmeierandFriedrichPukelsheim PartIII PowerinTwo-TierVotingSystems SquareRootVotingSystem,OptimalThresholdand ..................... 127 KarolZ˙yczkowskiandWojciechSłomczyn´ski v vi Contents TheFateoftheSquareRootLawforCorrelatedVoting.................... 147 WernerKirschandJessicaLangner TheMeanVoter,theMedianVoter,andWelfare-Maximizing VotingWeights.................................................................... 159 NicolaMaaserandStefanNapel APrioriVotingPowerWhenOneVoteCountsinTwoWays, withApplicationtoTwoVariantsoftheU.S.ElectoralCollege............. 177 NicholasR.Miller PartIV Penrose,Banzhaf,Shapley–Shubik,etal. AspectsofPowerOverlookedbyPowerIndices.............................. 205 ManfredJ.HollerandHannuNurmi Banzhaf–ColemanandShapley–ShubikIndicesinGames withaCoalitionStructure:ASpecialCaseStudy............................ 221 MariaEkes PathologyorRevelation?ThePublicGoodIndex............................ 247 ManfredJ.HollerandHannuNurmi OnthePossibilityofaPreference-BasedPowerIndex:The StrategicPowerIndexRevisited................................................ 259 DieterSchmidtchenandBernardSteunenberg PartV PoliticalCompetitionandVotingProcedures TheShapley–OwenValueandtheStrengthofSmallWinsets: PredictingCentralTendenciesandDegreeofDispersioninthe OutcomesofMajorityRuleDecision-Making ................................ 289 ScottL.Feld,JosephGodfrey,andBernardGrofman PostulatesandParadoxesofVotingPowerinaNoncooperativeSetting... 309 MariaMontero SatisfactionApprovalVoting ................................................... 323 StevenJ.BramsandD.MarcKilgour The StructureofVoters’PreferencesInducedby theDual CultureCondition................................................................ 347 WilliamV.GehrleinandSouvikRoy Three Apportionment Problems, with Applications totheUnitedKingdom .......................................................... 363 IainMcLean Contents vii PartVI ListofPublicationsbyDanFelsenthalandMoshé Machover DanFelsenthalandMoshéMachover:ListofJointPublications .......... 383 DanFelsenthal:ListofPublications ........................................... 389 MoshéMachover:ListofPublications ........................................ 395 Contributors RudolfFara CentreforPhilosophyofNaturalandSocialScience,LondonSchool ofEconomicsandPoliticalScience,London,UK DennisLeech DepartmentofEconomics,UniversityofWarwick,Coventry,UK MauriceSalles CREM,UniversitédeCaen-Basse-Normandie,Caen,France ClausBeisbart InstitutfürPhilosophie,UniversitätBern,Bern,Switzerland Olga Birkmeier Lehrstuhl für Stochastik und ihre Anwendungen, Institut für Mathematik,UniversitätAugsburg,Augsburg,Germany StevenBrams DepartmentofPolitics,NewYorkUniversity,NewYork,NY,USA Sreejith Das Department of Economics, Mathematics and Statistics, Birkbeck College,UniversityofLondon,London,UK Abraham Diskin Department of Political Science, The Hebrew University of Jerusalem,Jerusalem,Israel MariaEkes WarsawSchoolofEconomics,Warsaw,Poland ScottFeld PurdueUniversity,WestLafayette,IN,USA William Gehrlein Department of Business Administration, University of Delaware,Newark,DE,USA JosephGodfrey WinSetGroup,LLC,FallsChurch,VA,USA Bernard Grofman Department of Political Science, Centre for the Study of Democracy,UniversityofCalifornia,Irvine,CA,USA ManfredHoller UniversityofHamburg,Hamburg,Germany MarcKilgour DepartmentofMathematics,WilfridLaurierUniversity,Waterloo, ON,Canada ix x Contributors WernerKirsch FakultätfürMathematikundInformatik,FernUniversitätHagen, Hagen,Germany Moshe Koppel Department of Computer Science, Bar-Ilan University, Ramat- Gan,Israel JessicaLangner FakultätfürMathematikundInformatik,FernUniversitätHagen, Hagen,Germany NicolaMaaser UniversitätBremen,ZentrumfürSozialpolitik,Bremen,Germany IainMcLean NuffieldCollege,UniversityofOxford,Oxford,UK Nicholas Miller Department of Political Science, University of Maryland Balti- moreCounty(UMBC),Baltimore,MD,USA Maria Montero School of Economics, University of Nottingham, Nottingham, UK SefanNapel UniversityofBayreuth,Bayreuth,Germany Hannu Nurmi Public Choice Research Centre, University of Turku, Turku, Finland Friedrich Pukelsheim Lehrstuhl für Stochastik und ihre Anwendungen, Institut fürMathematik(2.OG,Zi.3012),UniversitätAugsburg,Augsburg,Germany SouvikRoy EconomicsandPlanningUnit,IndianStatisticalInstitute,NewDelhi, India Dieter Schmidtchen Centre for the Study of Law and Economics, University of Saarland,Saarbruecken,Germany WojciechSłomczyn´ski InstituteofMathematics,JagiellonianUniversity,Kraków, Poland FrankSteffen FacultyofLaw,BusinessandEconomics,UniversityofBayreuth, Bayreuth,Germany Department of Economics, Finance and Accounting, The University of Liverpool ManagementSchool(ULMS),Liverpool,UK BernardSteunenberg DepartmentofPublicAdministration,UniversiteitLeyden, DenHaag,TheNetherlands RenévandenBrink DepartmentofEconometrics,VrijeUniversiteitAmsterdam, Amsterdam,TheNetherlands KarolZyczkowski InstituteofPhysics,JagiellonianUniversity,Kraków,Poland