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May’s theorem in one dimension

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  • John Duggan

Abstract

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.

Suggested Citation

  • John Duggan, 2017. "May’s theorem in one dimension," Journal of Theoretical Politics, , vol. 29(1), pages 3-21, January.
    • Handle: RePEc:sae:jothpo:v:29:y:2017:i:1:p:3-21
    DOI: 10.1177/0951629815603694
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    References listed on IDEAS

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    1. Thomas Romer & Howard Rosenthal, 1978. "Political resource allocation, controlled agendas, and the status quo," Public Choice, Springer, vol. 33(4), pages 27-43, December.
    2. Banks, Jeffrey s. & Duggan, John, 2000. "A Bargaining Model of Collective Choice," American Political Science Review, Cambridge University Press, vol. 94(1), pages 73-88, March.
    3. Elizabeth Maggie Penn & John W. Patty & Sean Gailmard, 2011. "Manipulation and Single‐Peakedness: A General Result," American Journal of Political Science, John Wiley & Sons, vol. 55(2), pages 436-449, April.
    4. Partha Dasgupta & Eric Maskin, 2008. "On The Robustness of Majority Rule," Journal of the European Economic Association, MIT Press, vol. 6(5), pages 949-973, September.
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