On the Arrow-Hahn utility representation method

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

No 2009-03, DiMaD Working Papers from Dipartimento di Matematica per le Decisioni, Universita' degli Studi di Firenze

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)
JEL-codes: D11 (search for similar items in EconPapers)
New Economics Papers: this item is included in nep-pke and nep-upt
Date: 2009-09
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Persistent link: http://EconPapers.repec.org/RePEc:flo:wpaper:2009-03

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