Paretian quasi-orders: the regular two-agent case
type: Item
instance of: scholarly article
title: Paretian quasi-orders: the regular two-agent case
zbMATH Open document ID: 1012.91012
author: Yves Sprumont
published in: Journal of Economic Theory
publication date: 2001-01-01T00:00:00Z
review text: Let \(X\) be a compact and connected set of alternatives. Let \(\succeq_i\) be the preference order of agent \(i\) \((i=1,2)\). \(\succeq_1\) and \(\succeq_2\) define a Pareto relation \(R^*\) on \(X\). \((\succeq_1, \succeq_2)\) are regular if certain continuity conditions are fulfilled (Definition 1). The paper answers the following question: ``If \(R\) is a quasi-order on \(X\), under what conditions does there exist a regular preference profile \((\succeq_1, \succeq_2)\) whose Pareto relation \(R^*\) coincides with \(R\)?'' A theorem is proved which gives a necessary and sufficient condition for \(R\) to coincide with a Pareto relation \(R^*\). The theorem is based on properties of intermediateness.
reviewed by: Peter Kischka
Mathematics Subject Classification ID: 91B08
Mathematics Subject Classification ID: 91B14
Mathematics Subject Classification ID: 06A06
zbMATH DE Number: 1736552
zbMATH Keywords: Pareto relation
zbMATH Keywords: intermediateness
MaRDI profile type: Publication
full work available at URL: jeth.2000.2755
OpenAlex ID: W2077396731
cites work: Q4382651
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cites work: Q5526189
cites work: On the testable implications of collective choice theories
DOI: 10.1006/JETH.2000.2755
description: scientific article; zbMATH DE number 1736552