Equivalence of Connected and Peak-Pit Maximal Condorcet Domains

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This is a Quantitative Study study.

Guanhao Li

doi:10.48550/arxiv.2505.19520

May 26, 2025Open Access

Equivalence of Connected and Peak-Pit Maximal Condorcet Domains

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Key Points

The equivalence demonstrates a significant insight into condorcet domains, linking three distinct classes.
In this analysis, the classes examined include peak-pit, connected, and directly connected condorcet domains.
A combinatorial proof supports the equivalency of these classes in maximal condorcet domains, emphasizing their interrelation.
This research may influence future analysis and theoretical understanding within the field of voting theory.

Implication

Combinatorial proof established equivalence between peak-pit and connected condorcet domains.

Abstract

This paper provides a combinatorial proof to show that, in the study of maximal Condorcet domains, the class of peak-pit Condorcet domains, the class of connected Condorcet domains, and the class of directly connected Condorcet domains are all equivalent.

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Cite This Study

Guanhao Li (2025) studied this question.

synapsesocial.com/papers/68da5a3ec1728099cfd11a65 https://doi.org/10.48550/arxiv.2505.19520

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Equivalence of Connected and Peak-Pit Maximal Condorcet Domains

Key Points

Implication

Abstract

Discussion

Cite This Study

Equivalence of Connected and Peak-Pit Maximal Condorcet Domains

Key Points

Implication

Abstract

Discussion

Cite This Study

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