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The Borda rule and the pairwise-majority-loser revisited

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  • Noriaki Okamoto

    (Keio University)

  • Toyotaka Sakai

    (Keio University)

Abstract

Jean-Charles de Borda introduced the Borda rule with the motivation of avoiding the so-called pairwise-majority-loser. We revisit this topic by examining the uniqueness of the Borda rule as a scoring rule that is consistent with the pairwise-majority-loser criterion. We first show that this uniqueness does not hold for any fixed population. In fact, when there are three alternatives and six voters, all scoring rules are consistent with the pairwise-majority-loser criterion. We then show that for each non-Borda scoring rule, there exists a population n such that the rule is not consistent with this criterion for all populations of size larger than n.

Suggested Citation

  • Noriaki Okamoto & Toyotaka Sakai, 2019. "The Borda rule and the pairwise-majority-loser revisited," Review of Economic Design, Springer;Society for Economic Design, vol. 23(1), pages 75-89, June.
    • Handle: RePEc:spr:reecde:v:23:y:2019:i:1:d:10.1007_s10058-019-00221-3
    DOI: 10.1007/s10058-019-00221-3
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    References listed on IDEAS

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