Regular choice systems: A general technique to represent them by random variables

Autor(en): Suck, Reinhard
Stichwörter: Block-Marschak conditions; Incomplete regular choice systems; JUDGMENT; Mathematical Methods In Social Sciences; Mathematics; Mathematics, Interdisciplinary Applications; Mtibius function; Ordering polytopes; POLYTOPE; PROBABILITIES; Psychology; Psychology, Mathematical; RANDOM UTILITY REPRESENTATION; Random utility representations; Social Sciences, Mathematical Methods
Erscheinungsdatum: 2016
Herausgeber: ACADEMIC PRESS INC ELSEVIER SCIENCE
Journal: JOURNAL OF MATHEMATICAL PSYCHOLOGY
Volumen: 75
Ausgabe: SI
Startseite: 110
Seitenende: 117
Zusammenfassung: 
Regular choice systems and their random utility representations are investigated. A generalization of the derivation of the Block-Marschak conditions, based on the Mobius function of a partial order is presented. The technique is demonstrated in connection with two examples. The first is similar to complete choice data. In the second example a complete characterization of the ensuing polytope is obtained including a procedure to explicitly derive a convex representation of a data matrix if it is in the polytope. (C) 2016 Elsevier Inc. All rights reserved.
ISSN: 00222496
DOI: 10.1016/j.jmp.2016.04.003

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