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The Alternative Vote and Coombs Rule versus First-Past-the-Post: a social choice analysis of simulated data based on English elections, 1992–2010

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  • Nicholas Miller

Abstract

This paper presents a social choice analysis, using simulated data based on English general elections from 1992 through 2010, of the properties of three voting rules: First-Past-the-Post, the Alternative Vote, and the Coombs Rule. More specifically, the paper examines (1) the plurality, anti-plurality, and Condorcet status of candidates in each election and the interrelationships among these statuses, (2) the effects of strict and partial single-peakedness of voter preferences, and (3) the identity of winners, Condorcet efficiency, and the relationship between votes and seats under the three voting rules. The analysis considers only the case of three candidates and, in the manner of basic social choice theory, the set of candidates and voter preferences over them are taken to be fixed. Copyright Springer Science+Business Media New York 2014

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  • Nicholas Miller, 2014. "The Alternative Vote and Coombs Rule versus First-Past-the-Post: a social choice analysis of simulated data based on English elections, 1992–2010," Public Choice, Springer, vol. 158(3), pages 399-425, March.
    • Handle: RePEc:kap:pubcho:v:158:y:2014:i:3:p:399-425
    DOI: 10.1007/s11127-013-0067-9
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    1. Marc Feix & Dominique Lepelley & Vincent Merlin & Jean-Louis Rouet, 2004. "The probability of conflicts in a U.S. presidential type election," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 23(2), pages 227-257, January.
    2. Chamberlin, John R. & Cohen, Michael D., 1978. "Toward Applicable Social Choice Theory: A Comparison of Social Choice Functions under Spatial Model Assumptions," American Political Science Review, Cambridge University Press, vol. 72(4), pages 1341-1356, December.
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    Cited by:

    1. Keith L. Dougherty & Grace Pittman, 2022. "Congressional apportionment and the fourteenth amendment," Public Choice, Springer, vol. 192(1), pages 115-126, July.
    2. Jac C. Heckelman, 2021. "Characterizing plurality using the majoritarian condition: a new proof and implications for other scoring rules," Public Choice, Springer, vol. 189(3), pages 335-346, December.
    3. Nicholas R. Miller, 2024. "Ranked-choice voting and the spoiler effect: a supplementary note," Public Choice, Springer, vol. 198(1), pages 153-159, January.

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