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Constant scoring rules, Condorcet criteria and single-peaked preferences (*)

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  • Dominique Lepelley

    (C.R.E.M.E., URA CNRS 1273, UniversitÊ de Caen, F-14032 Caen CÊdex, France)

Abstract

A constant scoring rule asks each individual to vote for a given (and constant) number of alternatives and the alternative with the most votes is elected. A sequential constant scoring rule applies this principle in a process of sequential elimination. Constant scoring rules as well as sequential constant scoring rules fail to satisfy Condorcet criteria when individual preferences are unrestricted. The purpose of this paper is to show that, if we assume that preferences are single-peaked, then some constant scoring rules satisfy the Condorcet loser criterion and some sequential constant scoring rules satisfy the Condorcet winner criterion. The results we provide make possible the identification of these rules.

Suggested Citation

  • Dominique Lepelley, 1996. "Constant scoring rules, Condorcet criteria and single-peaked preferences (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(3), pages 491-500.
    • Handle: RePEc:spr:joecth:v:7:y:1996:i:3:p:491-500
    Note: Received: August 5, 1993; revised version March 22, 1995
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    Citations

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    Cited by:

    1. Sebastien Courtin & Mathieu Martin & Bertrand Tchantcho, 2013. "Positional rules and q- Condorcet consistency," Working Papers hal-00914900, HAL.
    2. Sébastien Courtin & Mathieu Martin & Bertrand Tchantcho, 2015. "Positional rules and q-Condorcet consistency," Post-Print hal-00914900, HAL.
    3. Sébastien Courtin & Mathieu Martin & Bertrand Tchantcho, 2015. "Positional rules and q-Condorcet consistency," Review of Economic Design, Springer;Society for Economic Design, vol. 19(3), pages 229-245, September.
    4. Eric Kamwa, 2018. "On the Likelihood of the Borda Effect: The Overall Probabilities for General Weighted Scoring Rules and Scoring Runoff Rules," Working Papers hal-01786590, HAL.
    5. Eric Kamwa, 2019. "On the Likelihood of the Borda Effect: The Overall Probabilities for General Weighted Scoring Rules and Scoring Runoff Rules," Group Decision and Negotiation, Springer, vol. 28(3), pages 519-541, June.
    6. Sébastien Courtin & Boniface Mbih & Issofa Moyouwou & Thomas Senné, 2010. "The reinforcement axiom under sequential positional rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 35(3), pages 473-500, September.
    7. Eric Kamwa & Fabrice Valognes, 2017. "Scoring Rules and Preference Restrictions: The Strong Borda Paradox Revisited," Revue d'économie politique, Dalloz, vol. 127(3), pages 375-395.
    8. Berga, Dolors & Correa-Lopera, Guadalupe & Moreno, Bernardo, 2019. "Condorcet consistent scoring rules and single-peakedness," Economics Letters, Elsevier, vol. 181(C), pages 199-202.
    9. Merlin, V. & Tataru, M. & Valognes, F., 2000. "On the probability that all decision rules select the same winner," Journal of Mathematical Economics, Elsevier, vol. 33(2), pages 183-207, March.

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