Condorcet domains, median graphs and the single-crossing property

DOI10.1007/s00199-017-1084-6zbMath1422.91236arXiv1507.08219OpenAlexW2963233850MaRDI QIDQ2323590

Arkadii M. Slinko, Clemens D. Puppe

Publication date: 3 September 2019

Published in: Economic Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.08219

zbMATH Keywords

distributive latticesocial choicestrategy-proofnessmedian graphsArrovian aggregationsingle-crossing propertyintermediate preferencesCondorcet domainsacyclic sets of linear orders

Mathematics Subject Classification ID

Social choice (91B14)

Related Items (14)

Medians in median graphs and their cube complexes in linear time ⋮ Probabilistic fixed ballot rules and hybrid domains ⋮ Majority judgment vs. majority rule ⋮ Majority Judgment vs. Approval Voting ⋮ A classification of peak-pit maximal Condorcet domains ⋮ Graphs with \(G^p\)-connected medians ⋮ Symmetric maximal Condorcet domains ⋮ Majority rule on rhombus tilings and Condorcet super-domains ⋮ Towards a classification of maximal peak-pit Condorcet domains ⋮ The single-peaked domain revisited: a simple global characterization ⋮ A characterization of preference domains that are single-crossing and maximal Condorcet ⋮ Structured preferences: a literature survey ⋮ Constructing large peak-pit Condorcet domains ⋮ Preferences Single-Peaked on a Tree: Multiwinner Elections and Structural Results

Cites Work

• Condorcet domains of tiling type
• Abstract Arrowian aggregation
• The structure of strategy-proof social choice. I: General characterization and possibility results on median spaces
• A Helly theorem in weakly modular space
• The structure of median graphs
• Maximal Condorcet domains
• Sorting out single-crossing preferences on networks
• Acyclic sets of linear orders
• Acyclic sets of linear orders via the Bruhat orders
• Acyclic sets of linear orders: a progress report
• Metric Ternary Distributive Semi-Lattices
• Intermediate Preferences and the Majority Rule
• The Weak Bruhat Order of $\text{S}_\Sigma $, Consistent Sets, and Catalan Numbers
• A Possibility Theorem on Majority Decisions
• An Exploration in the Theory of Optimum Income Taxation
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