Numerical Representability of Ordered Topological Spaces with Compatible Algebraic Structure

Numerical Representability of Ordered Topological Spaces with Compatible Algebraic Structure

We analyze the numerical representability of total preorders defined on semitopological real algebras through continuous order-preserving real-valued functions that are also additive and multiplicative. The results obtained are used to interpret important concepts arising in Social Choice theory.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Order (Dordrecht) 2012-03, Vol.29 (1), p.131-146
Hauptverfasser: Candeal, Juan C., Induráin, Esteban, Molina, José A.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Discrete Mathematics
Lattices
Mathematics
Mathematics and Statistics
Order
Ordered Algebraic Structures
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We analyze the numerical representability of total preorders defined on semitopological real algebras through continuous order-preserving real-valued functions that are also additive and multiplicative. The results obtained are used to interpret important concepts arising in Social Choice theory.
ISSN:0167-8094
1572-9273
DOI:10.1007/s11083-011-9202-8