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Continuous multi-utility representations of preorders

BOSI, GIANNI
•
Herden G.
2012
  • journal article

Periodico
JOURNAL OF MATHEMATICAL ECONOMICS
Abstract
Let (X,t) be a topological space. Then a preorder ≾ on (X,t) has a continuous multi-utility representation if there exists a family of continuous and isotonic real-valued functions f on (X,≾,t) such that for all x∈X and all y∈X the inequalities x≾y mean that for all the inequalities f(x)≤f(y) hold. We discuss the existence of a continuous multi-utility representation by using suitable concepts of continuity of a preorder. In addition, we clarify in detail the relation between the concept of a continuous multi-utility representation and Nachbin’s concept of a normally preordered space.
DOI
10.1016/j.jmateco.2012.05.001
WOS
WOS:000307908700003
Archivio
http://hdl.handle.net/11368/2591622
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-84864535760
http://www.sciencedirect.com/science/article/pii/S0304406812000262
Diritti
metadata only access
Soggetti
  • Weakly continuous pre...

  • Closed preorder

  • Multi-utility represe...

Scopus© citazioni
17
Data di acquisizione
Jun 14, 2022
Vedi dettagli
Web of Science© citazioni
21
Data di acquisizione
Mar 26, 2024
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