min, max, and sum
type: Item
instance of: scholarly article
title: min, max, and sum
zbMATH Open document ID: 1031.91020
author: Uzi Segal
author: Joel Sobel
published in: Journal of Economic Theory
publication date: 2002-12-16T00:00:00Z
review text: The authors provide characterization theorems for preferences that can be represented by the minimum, the maximum, the sum, or combinations of these functionals. A weak version of separability, called partial separability, is introduced. It states that changing a common component of two vectors does not reverse strict preferences, but may turn strict preferences into indifference. Applications to social choice are discussed.
Mathematics Subject Classification ID: 91B08
Mathematics Subject Classification ID: 91B14
zbMATH DE Number: 1845943
zbMATH Keywords: preferences
zbMATH Keywords: social choice
zbMATH Keywords: separability
reviewed by: Albrecht Irle
MaRDI profile type: Publication
OpenAlex ID: W3121285083
cites work: Q5514010
cites work: On the measurement of inequality under uncertainty
cites work: Ratio-Scale and Translation-Scale Full Interpersonal Comparability without Domain Restrictions: Admissible Social-Evaluation Functions
cites work: Q4161016
cites work: Q5663601
cites work: Relative Utilitarianism
cites work: Separability vs strict separability: A further result
cites work: The Structure of Utility Functions
cites work: Q4178809
cites work: Impartiality: Definition and Representation
cites work: Q3252269
cites work: Notes on separable preferences
cites work: A Theorem on Utilitarianism
cites work: Decision making under ignorance with implications for social choice
cites work: Q5832743
cites work: Interpersonal Comparability and Social Choice Theory
cites work: Constant risk aversion
cites work: Additively separable representations on non-convex sets
cites work: Continuous subjective expected utility with non-additive probabilities
DOI: 10.1006/JETH.2001.2859
description: scientific article; zbMATH DE number 1845943