On the Arrow-Hahn utility representation method

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

No 2009-03, Working Papers - Mathematical Economics from Universita' degli Studi di Firenze, Dipartimento di Scienze per l'Economia e l'Impresa

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)
Pages: 8 pages
Date: 2009-09
New Economics Papers: this item is included in nep-upt
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.disei.unifi.it/upload/sub/pubblicazioni ... 9/dimadwp2009-03.pdf (application/pdf)

Related works:
Journal Article: On the Arrow-Hahn utility representation method (2010)
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:flo:wpaper:2009-03

Access Statistics for this paper

More papers in Working Papers - Mathematical Economics from Universita' degli Studi di Firenze, Dipartimento di Scienze per l'Economia e l'Impresa Via delle Pandette 9 50127 - Firenze - Italy. Contact information at EDIRC.
Bibliographic data for series maintained by Michele Gori ().