Maximal Elements of Preferences on Compact Spaces from Optimization of One-Way Utilities
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.
Fields of Study & Subjects
Game Theory and Voting Systems
Decision-Making and Behavioral Economics
Economic theories and models
Publication details
- Journal / source
- Symmetry
- Volume
- 18
- Issue
- 1
- Pages
- 155–155
- Publication date
- 14 January 2026
- Language
- EN