Representations of preorders by strong multi-objective functions

José Alcantud (), Gianni Bosi and Magalì Zuanon

MPRA Paper from University Library of Munich, Germany

Abstract: We introduce a new kind of representation of a not necessarily total preorder, called strong multi-utility representation, according to which not only the preorder itself but also its strict part is fully represented by a family of multi-objective functions. The representability by means of semicontinuous or continuous multi-objective functions is discussed, as well as the relation between the existence of a strong multi-utility representation and the existence of a Richter-Peleg utility function. We further present conditions for the existence of a semicontinuous or continuous countable strong multi-utility representation.

Keywords: Multi-utility representation; Richter-Peleg utility; Strong multi-utility (search for similar items in EconPapers)
JEL-codes: C0 D01 (search for similar items in EconPapers)
Date: 2013-12-01
New Economics Papers: this item is included in nep-mic and nep-upt
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:pra:mprapa:52329

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