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:	2010
Authors:	Gori, Michele ; Pianigiani, Giulio
Published in:	Mathematical Social Sciences. - Elsevier, ISSN 0165-4896. - Vol. 59.2010, 3, p. 282-287
Publisher:	Elsevier
Keywords:	Preference relation Utility function Convex metric space Generalized Peano continuum

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10008488324