Order restricted preferences and majority rule
type: Item
instance of: scholarly article
title: Order restricted preferences and majority rule
zbMATH Open document ID: 0727.90008
DOI: 10.1007/BF01376281
author: P. Rothstein
published in: Social Choice and Welfare
publication date: 1990-01-01T00:00:00Z
review text: The author considers the set \(R^*=\{R_ i\}\) \((i=1,2,...,n\); \(n\geq 3)\) of weak orders, specified by the set X of alternatives. A restriction on \(R^*\) is adopted, related to properties defined on all triples \(T\subset X\). The author introduces the notion ``order restriction'' for such a sort of restriction and abbreviates if by OR. He demonstrates that \(OR_ T\) is stronger than the value restriction and weaker than the single peakedness or single cavedness conditions and is equivalent to them in case indifferences are not allowed in the ordering. In conclusion the author discusses possible applications to economic models of the results obtained.
Mathematics Subject Classification ID: 91B14
zbMATH DE Number: 4201979
zbMATH Keywords: majority rule
zbMATH Keywords: order restriction
zbMATH Keywords: value restriction
zbMATH Keywords: single peakedness
zbMATH Keywords: single cavedness
MaRDI profile type: Publication
cites work: Intermediate Preferences and the Majority Rule
cites work: Q3912303
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full work available at URL: https://doi.org/10.1007/bf01376281
OpenAlex ID: W1999353004
description: scientific article; zbMATH DE number 4201979