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Geometry of run-off elections

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  • Conal Duddy

    () (National University of Ireland Galway)

Abstract

Abstract We present a geometric representation of the method of run-off voting. With this representation we can observe the non-monotonicity of the method and its susceptibility to the no-show paradox. The geometry allows us easily to identify a novel compromise rule between run-off voting and plurality voting that is monotonic.

Suggested Citation

  • Conal Duddy, 2017. "Geometry of run-off elections," Public Choice, Springer, vol. 173(3), pages 267-288, December.
  • Handle: RePEc:kap:pubcho:v:173:y:2017:i:3:d:10.1007_s11127-017-0476-2
    DOI: 10.1007/s11127-017-0476-2
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    References listed on IDEAS

    as
    1. James Green-Armytage & T. Tideman & Rafael Cosman, 2016. "Statistical evaluation of voting rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 46(1), pages 183-212, January.
    2. Hannu Nurmi, 2004. "Monotonicity and its Cognates in the Theory of Choice," Public Choice, Springer, vol. 121(1), pages 25-49, October.
    3. Saari, Donald G., 1991. "Calculus and extensions of Arrow's theorem," Journal of Mathematical Economics, Elsevier, vol. 20(3), pages 271-306.
    4. M. Sanver & William Zwicker, 2012. "Monotonicity properties and their adaptation to irresolute social choice rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 39(2), pages 371-398, July.
    5. Florenz Plassmann & T. Tideman, 2014. "How frequently do different voting rules encounter voting paradoxes in three-candidate elections?," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 42(1), pages 31-75, January.
    6. Lepelley, Dominique & Chantreuil, Frederic & Berg, Sven, 1996. "The likelihood of monotonicity paradoxes in run-off elections," Mathematical Social Sciences, Elsevier, vol. 31(3), pages 133-146, June.
    7. Laurent Bouton, 2013. "A Theory of Strategic Voting in Runoff Elections," American Economic Review, American Economic Association, vol. 103(4), pages 1248-1288, June.
    8. repec:kap:pubcho:v:173:y:2017:i:1:d:10.1007_s11127-017-0465-5 is not listed on IDEAS
    9. Samuel Merrill, 1985. "A statistical model for Condorcet efficiency based on simulation under spatial model assumptions," Public Choice, Springer, vol. 47(2), pages 389-403, January.
    10. Jerry S. Kelly & Donald E. Campbell, 2002. "Non-monotonicity does not imply the no-show paradox," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 19(3), pages 513-515.
    11. James Green-Armytage & T. Nicolaus Tideman & Rafael Cosman, 2016. "Statistical evaluation of voting rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 46(1), pages 183-212, January.
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    Keywords

    Geometry; Voting; Monotonicity; Election triangle;

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