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May’s theorem in one dimension

Dados Bibliográficos

ID6299308
AutoresJim Duggan (0000-0001-8554-2594, University of Rochester, autor correspondente), John Duggan
Ano2017
Volume29
Fascículo1
Páginas3-21
Data de publicação2017-01-01
Peer ReviewedSim
Open AccessSim
TipoARTICLE
PeriódicoJournal of Theoretical Politics (JOURNAL)
Identificadores do periódicoISSN: 0951-6298 • E-ISSN: 1460-3667
EditoraSAGE Publications Inc (PUBLISHER)
DOI10.1177/0951629815603694
OpenAlexW2402421972
IdiomaEN
Citações recebidas1
Referências citadas9

This paper provides three versions of May’s theorem on majority rule, adapted to the one-dimensional model common in formal political modeling applications. The key contribution is that single peakedness of voter preferences allows us to drop May’s restrictive positive responsiveness axiom. The simplest statement of the result holds when voter preferences are single peaked and linear (no indifferences), in which case a voting rule satisfies anonymity, neutrality, Pareto, and transitivity of weak social preference if and only if the number of individuals is odd and the rule is majority rule

Anonymity · Arrow's impossibility theorem · Axiom · Combinatorics · Computer security · Dimension (graph theory · Econometrics · Economics · Majority rule · Mathematical economics · Microeconomics · Neutrality · Pareto principle · Political science · Politics · Preference · Revealed preference · Social choice theory · Statement (logic · Statistics · Transitive relation · Voting · Computer Science · Electoral Systems and Political Participation · Game Theory and Applications · Game Theory and Voting Systems · Law · Mathematics

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    John W Patty, Elizabeth Maggie Penn•Annual Review of Political Science•2019

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    Kenneth O May•Econometrica•1952

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    Open Access•Duncan Black, Georg Kunze•Theory of Committees and Elections•1986

  • Political resource allocation, controlled agendas, and the status quo

    Open Access•Thomas Romer, Howard Rosenthal et al.•Public Choice•1978

  • On the Rationale of Group Decision-making

    Duncan Black•Journal of Political Economy•1948

  • Robustness of the Multidimensional Voting Model

    Randall L Calvert•American Journal of Political…•1985

  • Manipulation and Single-Peakedness

    Open Access•Elizabeth Maggie Penn, John W Patty et al.•American Journal of Political…•2011

  • A Bargaining Model of Collective Choice

    Open Access•Jeffrey S Banks, Jim Duggan et al.•American Political Science Review•2000

Obras citantes distintas1
Citações por ano0,14
Intervalo de citações2019 - 2019 (1)
Velocidade de citaçãohistorical
Altamente citadoNão
Tipos de citaçãoNeutras: 1
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