Towards a classification of maximal peak-pit Condorcet domains

Guanhao Li, Clemens Puppe and Arkadii Slinko

Mathematical Social Sciences, 2021, vol. 113, issue C, 191-202

Abstract: In this paper, we classify all maximal peak-pit Condorcet domains of maximal width for n≤5 alternatives. To achieve this, we bring together ideas from several branches of combinatorics. The main tool used in the classification is the ideal of a domain. In contrast to the size of maximal peak-pit Condorcet domains of maximal width themselves, the size of their associated ideal is constant.

Keywords: Condorcet domains; Acyclic sets of linear orders; Majority voting; Arrovian social choice; Ideals; Arrangements of pseudolines (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matsoc:v:113:y:2021:i:c:p:191-202

DOI: 10.1016/j.mathsocsci.2021.07.005

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