Majority properties of positional social preference correspondences

Mostapha Diss and Michele Gori
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Michele Gori: UniFI - Università degli Studi di Firenze = University of Florence = Université de Florence

Working Papers from HAL

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.

Date: 2020-07
Note: View the original document on HAL open archive server: https://univ-fcomte.hal.science/hal-04251726v1
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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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