Representations of preorders by strong multi-objective functions

Alcantud, José Carlos R. and Bosi, Gianni and Zuanon, Magalì (2013): Representations of preorders by strong multi-objective functions.

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.

• Item Type: MPRA Paper
• Language: English
• Keywords: Multi-utility representation, Richter-Peleg utility, Strong multi-utility
• Subjects: C - Mathematical and Quantitative Methods > C0 - General; D - Microeconomics > D0 - General > D01 - Microeconomic Behavior: Underlying Principles

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