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Further Support for Ranking Candidates in Elections

Author

Listed:
  • William V. Gehrlein

    (University of Delaware)

  • Dominique Lepelley

    (University of La Réunion)

  • Florenz Plassmann

    (Binghamton University)

Abstract

We compare the Condorcet Efficiencies of the plurality rule, the negative plurality rule, and the Borda rule to examine what might be gained by using a voting rule that requires candidate rankings. Previous analyses have considered (1) voting situations for which the three rules determine different candidates as winners (and the Condorcet Efficiencies might actually differ across the three rules) as well as (2) refined measures of Group Mutual Coherence that assess the presence of underlying models of rational behavior that governs voter preferences. In this paper, we present the final step of this particular line of analysis by analyzing (1) and (2) simultaneously. We conclude that there is a considerable benefit on the basis of Condorcet Efficiency from asking voters to submit candidate rankings in three-candidate elections.

Suggested Citation

  • William V. Gehrlein & Dominique Lepelley & Florenz Plassmann, 2016. "Further Support for Ranking Candidates in Elections," Group Decision and Negotiation, Springer, vol. 25(5), pages 941-966, September.
    • Handle: RePEc:spr:grdene:v:25:y:2016:i:5:d:10.1007_s10726-016-9470-1
    DOI: 10.1007/s10726-016-9470-1
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    References listed on IDEAS

    as
    1. Diss, Mostapha & Louichi, Ahmed & Merlin, Vincent & Smaoui, Hatem, 2012. "An example of probability computations under the IAC assumption: The stability of scoring rules," Mathematical Social Sciences, Elsevier, vol. 64(1), pages 57-66.
    2. William V. Gehrlein & Dominique Lepelley & Florenz Plassmann, 2015. "Should voters be required to rank candidates in an election?," Post-Print hal-01243409, HAL.
    3. Sebastien Courtin & Mathieu Martin & Issofa Moyouwou, 2013. "The q-Condorcet efficiency of positional rules," Working Papers hal-00914907, HAL.
    4. repec:adr:anecst:y:2011:i:101-102:p:06 is not listed on IDEAS
    5. Mathieu Martin & Sebastien Courtin & Issofa Moyouwou, 2015. "The q-Condorcet efficiency of the positional rules," Post-Print hal-02979993, HAL.
    6. Dominique Lepelley & Ahmed Louichi & Hatem Smaoui, 2008. "On Ehrhart polynomials and probability calculations in voting theory," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 30(3), pages 363-383, April.
    7. William Gehrlein, 2011. "Strong measures of group coherence and the probability that a pairwise majority rule winner exists," Quality & Quantity: International Journal of Methodology, Springer, vol. 45(2), pages 365-374, February.
    8. Sébastien Courtin & Mathieu Martin & Issofa Moyouwou, 2015. "The $$q$$ q -majority efficiency of positional rules," Theory and Decision, Springer, vol. 79(1), pages 31-49, July.
    9. Davide Cervone & William Gehrlein & William Zwicker, 2005. "Which Scoring Rule Maximizes Condorcet Efficiency Under Iac?," Theory and Decision, Springer, vol. 58(2), pages 145-185, March.
    10. William V. Gehrlein & Dominique Lepelley & Hatem Smaoui, 2011. "The Condorcet Efficiency of Voting Rules with Mutually Coherent Voter Preferences: A Borda Compromise," Annals of Economics and Statistics, GENES, issue 101-102, pages 107-125.
    11. T. Nicolaus Tideman & Florenz Plassmann, 2012. "Modeling the Outcomes of Vote-Casting in Actual Elections," Studies in Choice and Welfare, in: Dan S. Felsenthal & Moshé Machover (ed.), Electoral Systems, chapter 0, pages 217-251, Springer.
    12. William Gehrlein & Florenz Plassmann, 2014. "A comparison of theoretical and empirical evaluations of the Borda Compromise," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(3), pages 747-772, October.
    13. William V. Gehrlein & Dominique Lepelley, 2015. "Refining measures of group mutual coherence," Post-Print hal-01243405, HAL.
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    Cited by:

    1. William V. Gehrlein & Dominique Lepelley & Florenz Plassmann, 2018. "An Evaluation of the Benefit of Using Two-Stage Election Procedures," Homo Oeconomicus: Journal of Behavioral and Institutional Economics, Springer, vol. 35(1), pages 53-79, June.

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    More about this item

    Keywords

    Condorcet efficiency; Group mutual coherence; IAC; Spatial model of voting;
    All these keywords.

    JEL classification:

    • D7 - Microeconomics - - Analysis of Collective Decision-Making

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