Representations of Preference Relations with Preutility Functions on Metric Spaces

Yann Rébillé ()
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Yann Rébillé: LEMNA - Laboratoire d'économie et de management de Nantes Atlantique - Nantes Univ - IAE Nantes - Nantes Université - Institut d'Administration des Entreprises - Nantes - Nantes Université - pôle Sociétés - Nantes Univ - Nantes Université

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Abstract: The elaboration of preference relations and their representations take back their source in early economic theory. Classical representations of preferences theorems rely on Debreu-Eilenberg's theorems through abstract mathematics based on topological properties. We adopt another approach starting from metric spaces instead. We obtain representation theorems of preference relations with bivariate functions. This allows us to handle intransitivities and incomparabilities of the preference relation and also continuity conditions of various strength.

Date: 2023-05-10
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Published in Advances in Topology and Their Interdisciplinary Applications, Springer Nature Singapore, pp.109-129, 2023, Industrial and Applied Mathematics, 9789819901500. ⟨10.1007/978-981-99-0151-7_6⟩

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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:hal-04785477

DOI: 10.1007/978-981-99-0151-7_6

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