Weak order polytopes.

DOI10.1016/S0012-365X(03)00101-8zbMath1077.91016MaRDI QIDQ1420590

Samuel Fiorini, Peter C. Fishburn

Publication date: 2 February 2004

Published in: Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

polytopeweak orderprobabilistic choice

Mathematics Subject Classification ID

Individual preferences (91B08) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Social choice (91B14)

Related Items (12)

Testing a mixture model of single-peaked preferences ⋮ Individual differences in the algebraic structure of preferences ⋮ Derivations of large classes of facet defining inequalities of the weak order polytope using ranking structures ⋮ Adjacencies on random ordering polytopes and flow polytopes ⋮ A lexicographic semiorder polytope and probabilistic representations of choice ⋮ Extended formulations for order polytopes through network flows ⋮ Ising formulations of some graph-theoretic problems in psychological research: models and methods ⋮ Hyperplane arrangements in preference modeling ⋮ Primary facets of order polytopes ⋮ Analysis of multinomial models under inequality constraints: applications to measurement theory ⋮ A New Binary Programming Formulation and Social Choice Property for Kemeny Rank Aggregation ⋮ On the combinatorial structure of the approval-voting polytope

Uses Software

• PORTA

Cites Work

• Random utility representation of binary choice probabilities: A new class of necessary conditions
• Induced binary probabilities and the linear ordering polytope: A status report
• Modular decomposition and transitive orientation
• More facets from fences for linear ordering and acyclic subgraph polytopes
• Adjacency of vertices of the complete pre-order polytope
• A necessary but insufficient condition for the stochastic binary choice problem
• Adjacency on combinatorial polyhedra
• Random utility representation of binary choice probabilities: Critical graphs yielding critical necessary conditions
• Facets of the Weak Order Polytope Derived from the Induced Partition Projection
• Facets of the linear ordering polytope
• Lectures on Polytopes
• New Facets of the Linear Ordering Polytope
• Transitiv orientierbare Graphen
• A Definition of Subjective Probability
• Determining the automorphism group of the linear ordering polytope
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