Constructing large peak-pit Condorcet domains

DOI10.1007/s11238-022-09878-9zbMath1505.91164OpenAlexW4213420039MaRDI QIDQ2112304

Alexander Karpov, Arkadii M. Slinko

Publication date: 10 January 2023

Published in: Theory and Decision (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11238-022-09878-9

zbMATH Keywords

Condorcet domainArrow's single-peaked domainDanilov-Karzanov-Koshevoy constructionnever conditionspeak-pit domain

Mathematics Subject Classification ID

Social choice (91B14)

Related Items

A classification of peak-pit maximal Condorcet domains ⋮ Structure of single-peaked preferences

Cites Work

• Unnamed Item
• Unnamed Item
• Condorcet domains of tiling type
• Coding and counting arrangements of pseudolines
• The structure of median graphs
• Rhombic tilings of polygons and classes of reduced words in Coxeter groups
• Restricted preference domains in social choice: two perspectives
• The single-peaked domain revisited: a simple global characterization
• Decision theory and discrete mathematics
• Maximal Condorcet domains
• Cambrian acyclic domains: counting \(c\)-singletons
• Towards a classification of maximal peak-pit Condorcet domains
• A simple construction of complete single-peaked domains by recursive tiling
• Condorcet domains, median graphs and the single-crossing property
• Condorcet domains satisfying Arrow's single-peakedness
• Acyclic sets of linear orders
• Acyclic sets of linear orders via the Bruhat orders
• Acyclic sets of linear orders: a progress report
• The Weak Bruhat Order of $\text{S}_\Sigma $, Consistent Sets, and Catalan Numbers
• Overview of Mathematical Social Sciences
• VC-dimension of sets of permutations