The q-majority efficiency of positional rules

Sébastien Courtin (), Mathieu Martin and Issofa Moyouwou
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Sébastien Courtin: THEMA - Théorie économique, modélisation et applications - UCP - Université de Cergy Pontoise - Université Paris-Seine - CNRS - Centre National de la Recherche Scientifique
Mathieu Martin: THEMA - Théorie économique, modélisation et applications - UCP - Université de Cergy Pontoise - Université Paris-Seine - CNRS - Centre National de la Recherche Scientifique
Issofa Moyouwou: École normale supérieure [ENS] - Yaoundé 1

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Abstract: According to a given quota q, a candidate a is beaten by another candidate b if at least a proportion of q individuals prefer b to a. The q-Condorcet efficiency of a voting rule is the probability that the rule selects a q-Condorcet winner (q-CW), that is any candidate who is never beaten under the q-majority. Closed form representations are obtained for the q-Condorcet efficiency of positional rules (simple and sequential) in three-candidate elections. This efficiency is significantly greater for sequential rules than for simple positional rules.

Keywords: Positional rules (simple and sequential); Majority efficiency; q -Majority (search for similar items in EconPapers)
Date: 2015
Note: View the original document on HAL open archive server: https://hal.science/hal-00914907
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Published in Theory and Decision, 2015, 79 (1), pp.31 - 49. ⟨10.1007/s11238-014-9451-2⟩

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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:hal-00914907

DOI: 10.1007/s11238-014-9451-2

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