On the Arrow-Hahn utility representation method

Michele Gori and Giulio Pianigiani

Mathematical Social Sciences, 2010, vol. 59, issue 3, 282-287

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.

Keywords: Preference; relation; Utility; function; Convex; metric; space; Generalized; Peano; continuum (search for similar items in EconPapers)
Date: 2010
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Working Paper: On the Arrow-Hahn utility representation method (2009)
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matsoc:v:59:y:2010:i:3:p:282-287

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