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EnglishOn the basis of the classical continuous multi-utility representation theorem of Levin on locally compact and $\sigma$-compact Hausdorff spaces, we present necessary and sufficient conditions on a topological space $(X,t)$ under which every semi-closed and closed preorder respectively admits a continuous multi-utility representation. This discussion provides the fundaments of a mainly topological theory that systematically combines topological and order theoretic aspects of the continuous multi-utility representation problem.
| Titolo: | On continuous multi-utility representations of semi-closed and closed preorders |
| Autori: | |
| Data di pubblicazione: | 2016 |
| Rivista: | |
| Abstract: | On the basis of the classical continuous multi-utility representation theorem of Levin on locally compact and $\sigma$-compact Hausdorff spaces, we present necessary and sufficient conditions on a topological space $(X,t)$ under which every semi-closed and closed preorder respectively admits a continuous multi-utility representation. This discussion provides the fundaments of a mainly topological theory that systematically combines topological and order theoretic aspects of the continuous multi-utility representation problem. |
| Handle: | http://hdl.handle.net/11368/2855977 |
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1016/j.mathsocsci.2015.10.006 |
| Appare nelle tipologie: | 1.1 Articolo in Rivista |
File in questo prodotto:
| File | Descrizione | Tipologia | Licenza | |
|---|---|---|---|---|
| BosiHerdenContTopmulti.pdf | Documento in Pre-print | Digital Rights Management non definito | Open Access Visualizza/Apri | |
| BosiHerdenContTopmultiRevised.pdf | Post Print | Bozza finale post-referaggio (post-print) |  | Open Access Visualizza/Apri |
| Bosi_On continuous multi-utility representations of semi-closed and closed preorders.pdf | Articolo principale | Documento in Versione Editoriale | Digital Rights Management non definito | Administrator Richiedi una copia |
Utilizza questo identificativo per citare o creare un link a questo documento:
http://hdl.handle.net/11368/2855977
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