An axiomatization of the generalized Edgeworth-Pareto principle in terms of choice functions

Vladimir D. Noghin

doi:10.1016/j.mathsocsci.2006.05.005

An axiomatization of the generalized Edgeworth-Pareto principle in terms of choice functions

Vladimir D. Noghin

Research output

4 Citations (Scopus)

Abstract

Under two reasonable axioms, a generalized variant of the Edgeworth-Pareto principle in terms of a choice function is substantiated. According to this principle, for any choice function, its value must be a subset of the Pareto set. It is shown that, if at least one of the axioms is ignored, then the Edgeworth-Pareto principle may be violated. As a particular case, the Edgeworth-Pareto principle in terms of preference relations is derived.

Original language	English
Pages (from-to)	210-216
Number of pages	7
Journal	Mathematical Social Sciences
Volume	52
Issue number	2
DOIs	https://doi.org/10.1016/j.mathsocsci.2006.05.005
Publication status	Published - 1 Sep 2006

Scopus subject areas

Sociology and Political Science
Social Sciences(all)
Psychology(all)
Statistics, Probability and Uncertainty

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10.1016/j.mathsocsci.2006.05.005

http://www.scopus.com/inward/record.url?scp=33748567130&partnerID=8YFLogxK

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AB - Under two reasonable axioms, a generalized variant of the Edgeworth-Pareto principle in terms of a choice function is substantiated. According to this principle, for any choice function, its value must be a subset of the Pareto set. It is shown that, if at least one of the axioms is ignored, then the Edgeworth-Pareto principle may be violated. As a particular case, the Edgeworth-Pareto principle in terms of preference relations is derived.

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KW - Choice function

KW - Edgeworth-Pareto principle

KW - Multicriteria choice

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