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AREAS OF CONDORSES AND ROMBIC PARQUETS
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AREAS OF CONDORSES AND ROMBIC PARQUETS
Annotation
PII
S042473880000616-6-1
Publication type
Article
Status
Published
Authors
Gleb Koshevoy  Aleksandr Karzanov Vladimir Danilov
Edition
Issue №4
Pages
55-68
Abstract
A Condorcet domain is such a set of linear orders on a set of alternatives, in which the simple majority rule does not give cycles. With simple geometric shapes - rhombic parquets - we build and explore large areas of Condorcet properties.
Keywords
linear orders, simple majority rule, weak order Bruhat
Date of publication
01.10.2010
Number of purchasers
2
Views
861
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0.0 (0 votes)
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Additional sources and materials

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 Condorcet M. (1785): Essai sur l’application de l’analyse a la Probabilite des Decisions Rendues a la Pluralitedes Voix. Paris.
 Danilov V., Karzanov A., Koshevoy G. (2009): Tropical Plucker Functions and Their Bases. In: “Tropical and Idempotent Mathematics” // Contemporary Mathematics. Vol. 495.
 Galambos A., Reiner V. (2008): Acyclic Sets of Linear Orders Via the Bruhat Order // Social Choice and Welfare. Vol. 30.
 Guilbaud G.-Th. (1952): Les theories de l’interet general et le probleme logique de l’agregation // Ecomomie Appliquee. Vol. 5. (Rus. perevod sm.: Matematicheskie metody v sotsial'nykh naukakh. M.: Progress, 1973.)
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 Knuth D.E. (1992): Axioms and Hulls. № 606 in Lecture Notes in Computer Science. Berlin: Springer-Verlag.
 Monjardet B. (2009): Acyclic Domauns of Linear Orders: a Survey. In: “The Mathematics of Preference, Choice and Order”. Berlin: Springer. P. 136–160.
 Saari D.G. (2009): Condorcet Domains; A geometric Perspective. In: “The Mathematics of Preference, Choice and Order”. Berlin: Springer. P. 161–182.

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