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A classification of peak-pit maximal Condorcet domains

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  • Li, Guanhao

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.

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  • Li, Guanhao, 2023. "A classification of peak-pit maximal Condorcet domains," Mathematical Social Sciences, Elsevier, vol. 125(C), pages 42-57.
    • Handle: RePEc:eee:matsoc:v:125:y:2023:i:c:p:42-57
    DOI: 10.1016/j.mathsocsci.2023.06.004
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    Cited by:

    1. Puppe, Clemens & Slinko, Arkadii, 2024. "Note on “A classification of peak-pit maximal Condorcet domains” by Guanhao Li, Mathematical Social Sciences 125 (2023), 42–57," Mathematical Social Sciences, Elsevier, vol. 128(C), pages 16-17.
    2. Alexander Karpov & Klas Markstrom & S{o}ren Riis & Bei Zhou, 2023. "Bipartite peak-pit domains," Papers 2308.02817, arXiv.org, revised Jan 2024.

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