Majority properties of positional social preference correspondences

Mostapha Diss and Michele Gori ()
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Michele Gori: Dipartimento di Scienze per l’Economia e l’Impresa, Università degli Studi di Firenze

No 2020-06, Working Papers from CRESE

Abstract: We characterize the positional social preference correspondences (spc) satisfying the qualified majority property for any given majority threshold. We also characterize the positional spcs satisfying the minimal majority property. We next evaluate the probability that the Borda, the Plurality and the Antiplurality spcs fulfil the two aforementioned properties under two assumptions on individuals’ preferences in the presence of three and four alternatives for various sizes of the society. Our results show that the Borda spc is the positional spc which better behaves in relation with the qualified majority principle and the minimal majority principle. Finally, we propose some remarks on the concept of Condorcet consistency for social choice correspondences.

Keywords: social preference correspondence; social choice correspondence; positional rule; qualified majority; probability; Condorcet consistency. (search for similar items in EconPapers)
JEL-codes: D71 (search for similar items in EconPapers)
Pages: 23 pages
Date: 2020-07
New Economics Papers: this item is included in nep-des and nep-mic
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Related works:
Journal Article: Majority properties of positional social preference correspondences (2022)
Working Paper: Majority properties of positional social preference correspondences (2021)
Working Paper: Majority properties of positional social preference correspondences (2020)
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