A classification of peak-pit maximal Condorcet domains

Guanhao Li

Mathematical Social Sciences, 2023, vol. 125, issue C, 42-57

Abstract: In this paper, we introduce a weaker notion of separability for set-systems and demonstrate that the class of maximal weakly separated systems precisely corresponds to the class of peak-pit maximal Condorcet domains. Additionally, we present a generalisation of arrangements of pseudolines and establish that the sets of chamber sets from them coincide with maximal weakly separated systems, enabling the construction of all peak-pit maximal Condorcet domains. Furthermore, we reveal that peak-pit maximal Condorcet domains coincide with connected maximal Condorcet domains.

Keywords: Condorcet domains; Acyclic sets of linear orders; Majority voting; Arrovian social choice; Separated ideals; Arrangements of pseudolines (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matsoc:v:125:y:2023:i:c:p:42-57

DOI: 10.1016/j.mathsocsci.2023.06.004

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