Richter-Peleg multi-utility representations of preorders

DOI10.1007/s11238-015-9506-zzbMath1378.91082OpenAlexW424802240MaRDI QIDQ266515

José Carlos Rodríguez Alcantud, Gianni Bosi, Magalì E. Zuanon

Publication date: 13 April 2016

Published in: Theory and Decision (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11238-015-9506-z

zbMATH Keywords

Richter-Peleg multi-utility representationRichter-Peleg representation

Mathematics Subject Classification ID

Partial orders, general (06A06) Utility theory (91B16)

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Cites Work

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• Scalarization methods and expected multi-utility representations
• Continuous multi-utility representations of preorders
• Utility representation of an incomplete preference relation
• On quasi-orderings and multi-objective functions
• On a possible continuous analogue of the Szpilrajn theorem and its strengthening by Dushnik and Miller
• Normally preordered spaces and utilities
• On the multi-utility representation of preference relations
• On a strong continuous analogue of the Szpilrajn theorem and its strengthening by Dushnik and Miller
• Revealed Preference Theory
• Utility Functions for Partially Ordered Topological Spaces
• A Condition for the Completeness of Partial Preference Relations