Year: 2026
Type: article
Abstract: The search for maximal elements of preference relations has been recently related to the optimization of one-way utilities on compact topological spaces. In this paper, we deepen this study by referring to upper semicontinuous finite Richter–Peleg multi-utility representations of preorders. We provide necessary and sufficient conditions for the existence of representations of this kind and then, under the assumption of near-completeness, we characterize the identification of all maximal elements by maximizing all functions in an appropriate representation under compactness.
Source: Symmetry
DOI: 10.3390/sym18010155
Authors: Gianni Bosi, Gabriele Sbaiz, Magalì Zuanon
Institutions: University of Trieste, University of Brescia
Language: English
Subfield: Economics and Econometrics
Domain: Social Sciences
Open Access status: gold
Estimated APC paid: $2,896
OpenAlex ID: W7124193015
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