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Existence of homogeneous representations of interval orders on a cone in a topological vector space

BOSI, GIANNI
•
CANDEAL J. C.
•
INDURAIN E.
•
ZUDAIRE M.
2005
  • journal article

Periodico
SOCIAL CHOICE AND WELFARE
Abstract
Necessary and sufficient conditions are presented for the existence of a pair < u; v > of positively homogeneous of degree one real functions representing an interval order < on a real cone K in a topological vector space E (in the sense that, for every x,y in K, x < y if and only if v(x) < u(y), with u lower semicontinuous, v upper semicontinuous, and u and v utilityfunctions for two complete preorders intimately connected with <. We conclude presenting a new approach to get such kind of representations, based on the concept of a biorder.
WOS
WOS:000229115400003
Archivio
http://hdl.handle.net/11368/1690967
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-17444401782
Diritti
metadata only access
Soggetti
  • Interval order

  • homogeneous represent...

  • topological vector sp...

Visualizzazioni
4
Data di acquisizione
Apr 19, 2024
Vedi dettagli
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