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

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

Original Title:  Representations of preorders by strong multiobjective functions 
Language:  English 
Keywords:  Multiutility representation, RichterPeleg utility, Strong multiutility 
Subjects:  C  Mathematical and Quantitative Methods > C0  General D  Microeconomics > D0  General > D01  Microeconomic Behavior: Underlying Principles 
Item ID:  52329 
Depositing User:  Jose Carlos R. Alcantud 
Date Deposited:  18. Dec 2013 06:11 
Last Modified:  18. Dec 2013 06:17 
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URI:  https://mpra.ub.unimuenchen.de/id/eprint/52329 