On the Arrow-Hahn utility representation method

In this paper we characterize metric spaces used in Beardon's generalization of Arrow-Hahn utility representation method as generalized Peano continua. For continuous preference relations defined on such metric spaces, we further construct an upper semi-continuous utility function which explicitly depends on the distance.

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Year of publication:	2009-09
Authors:	Gori, Michele ; Pianigiani, Giulio
Institutions:	Dipartimento di Scienze per l'Economia e l'Impresa, Università degli Studi di Firenze
Subject:	preference relation \| utility function \| convex metric space \| generalized Peano continuum

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Extent:	application/pdf
Series:	Working Papers - Mathematical Economics.
Type of publication:	Book / Working Paper
Notes:	Number 2009-03 8 pages
Classification:	D11 - Consumer Economics: Theory
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005089398