Table Of ContentStudies 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
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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
