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An Evaluation of the Benefit of Using Two-Stage Election Procedures

Author

Listed:
  • William V. Gehrlein

    (University of Delaware)

  • Dominique Lepelley

    (University of La Réunion)

  • Florenz Plassmann

    (Binghamton University)

Abstract

We consider the potential benefit of obtaining a higher Condorcet Efficiency by using the two-stage election procedures Plurality Elimination Rule and Negative Plurality Elimination Rule that do not require voters to rank the candidates, rather than using Borda Rule that does require such a ranking. We find that there is a small probability that the winner with either Plurality Elimination Rule or Negative Plurality Elimination Rule will be different from the Borda Rule winner. However, one can expect some marginal increase in efficiency from using a two-stage voting rule, particularly Plurality Elimination Rule.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:homoec:v:35:y:2018:i:1:d:10.1007_s41412-017-0055-2
    DOI: 10.1007/s41412-017-0055-2
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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. repec:adr:anecst:y:2011:i:101-102:p:06 is not listed on IDEAS
    3. 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.
    4. 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.
    5. Donald G. Saari, 2002. "Adopting a Plurality Vote Perspective," Mathematics of Operations Research, INFORMS, vol. 27(1), pages 45-64, February.
    6. 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.
    7. 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.
    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. Nicholas R. Miller, 2017. "Closeness matters: monotonicity failure in IRV elections with three candidates," Public Choice, Springer, vol. 173(1), pages 91-108, October.
    10. William V. Gehrlein & Dominique Lepelley, 2015. "The Condorcet Efficiency Advantage that Voter Indifference Gives to Approval Voting Over Some Other Voting Rules," Group Decision and Negotiation, Springer, vol. 24(2), pages 243-269, March.
    11. Saari, Donald G., 1999. "Explaining All Three-Alternative Voting Outcomes," Journal of Economic Theory, Elsevier, vol. 87(2), pages 313-355, August.
    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. Sébastien Courtin & Mathieu Martin & Issofa Moyouwou, 2015. "The q-majority efficiency of positional rules," Post-Print hal-00914907, HAL.
    14. Peter Fishburn & William Gehrlein, 1976. "Borda's rule, positional voting, and Condorcet's simple majority principle," Public Choice, Springer, vol. 28(1), pages 79-88, December.
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    Cited by:

    1. Daniela Bubboloni & Mostapha Diss & Michele Gori, 2020. "Extensions of the Simpson voting rule to the committee selection setting," Public Choice, Springer, vol. 183(1), pages 151-185, April.
    2. Abdelhalim El Ouafdi & Dominique Lepelley & Hatem Smaoui, 2020. "Probabilities of electoral outcomes: from three-candidate to four-candidate elections," Theory and Decision, Springer, vol. 88(2), pages 205-229, March.

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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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