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May’s theorem in one dimension

Datos Bibliográficos

ID6299308
AutoresJim Duggan (0000-0001-8554-2594, University of Rochester, autor de correspondencia), John Duggan
Año2017
Volumen29
Número1
Páginas3-21
Fecha de publicación2017-01-01
Peer ReviewedSí
Open AccessSí
TipoARTICLE
RevistaJournal of Theoretical Politics (JOURNAL)
Identificadores de la revistaISSN: 0951-6298 • E-ISSN: 1460-3667
EditorialSAGE Publications Inc (PUBLISHER)
DOI10.1177/0951629815603694
OpenAlexW2402421972
IdiomaEN
Citas recibidas1
Referencias 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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    William J Baumol, Kenneth J Arrow•Econometrica•1952

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

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    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

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Obras citantes distintas1
Citas por año0,14
Intervalo de citas2019 - 2019 (1)
Velocidad de citaciónhistorical
Altamente citadoNo
Tipos de citaNeutras: 1
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