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On the Arrow-Hahn utility representation method

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Author Info
Michele Gori () (Dipartimento di Matematica per le Decisioni, Universita' degli Studi di Firenze)
Giulio Pianigiani () (Dipartimento di Matematica per le Decisioni, Universita' degli Studi di Firenze)

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Abstract

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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File URL: http://www.dmd.unifi.it/RePEc/flo/WorkingPapers/2009/DiMaDWP2009-03.pdf
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Publisher Info
Paper provided by Dipartimento di Matematica per le Decisioni, Universita' degli Studi di Firenze in its series DiMaD Working Papers with number 2009-03.

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Length: 8 pages
Date of creation: Sep 2009
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Handle: RePEc:flo:wpaper:2009-03

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Related research
Keywords: preference relation; utility function; convex metric space; generalized Peano continuum;

Find related papers by JEL classification:
D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory

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This page was last updated on 2009-11-6.

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