Recursive Monotonicity of the Scorix: Borda Meets Condorcet

Raúl Pérez-Fernández () and Bernard De Baets ()
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Raúl Pérez-Fernández: Ghent University
Bernard De Baets: Ghent University

Group Decision and Negotiation, 2017, vol. 26, issue 4, No 8, 793-813

Abstract: Abstract Back in the eighteenth century, the works of Borda and Condorcet laid the foundations of social choice theory. On the one hand, Borda proposed to exploit the positions at which each candidate is ranked. On the other hand, Condorcet proposed to exploit the relative positions of each pair of candidates. Both proposals have equally called the attention of the scientific community, leading to two diametrically opposed points of view of the theory of social choice. Here, we introduce the intuitive property of recursive monotonicity of the scorix, which will be proven to be a natural condition for Borda and Condorcet to agree. Furthermore, we propose a ranking rule that focuses on the search for recursive monotonicity of the scorix.

Keywords: Social choice; Ranking rule; Monotonicity; Recursive monotonicity; Scorix; Monometric (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10726-017-9525-y

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