Another perspective on Borda's paradox

Mostapha Diss and Abdelmonaim Tlidi
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Abdelmonaim Tlidi: ENSA Marrakech - École nationale des sciences appliquées de Marrakech

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Abstract: This paper presents the conditions required for a profile in order to never exhibit either the strong or the strict Borda paradoxes under all weighted scoring rules in three-candidate elections. The main particularity of our paper is that all the conclusions are extracted from the differences of votes between candidates in pairwise majority elections. This way allows us to answer new questions and provide an organized knowledge of the conditions under which a given profile never shows one of the two paradoxes. Abstract This paper presents the conditions required for a profile in order to never exhibit either the strong or the strict Borda paradoxes under all weighted scoring rules in three-candidate elections. The main particularity of our paper is that all the conclusions are extracted from the differences of votes between candidates in pairwise majority elections. This way allows us to answer new questions and provide an organized knowledge of the conditions under which a given profile never shows one of the two paradoxes.

Keywords: Voting; Geometry; Borda's Paradox; Condorcet Pairwise Procedure; Borda; Plurality; Negative Plurality; Weighted Scoring Rules (search for similar items in EconPapers)
Date: 2018
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Published in Theory and Decision, 2018, 84 (1), pp.99-121. ⟨10.1007/s11238-017-9649-1⟩

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Related works:
Journal Article: Another perspective on Borda’s paradox (2018)
Working Paper: Another perspective on Borda's paradox (2017)
Working Paper: Another perspective on Borda’s paradox (2016)
Working Paper: Another perspective on Borda's paradox (2016)
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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:halshs-01660816

DOI: 10.1007/s11238-017-9649-1

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