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Representations of Preference Relations with Preutility Functions on Metric Spaces

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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)

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.

Suggested Citation

  • Yann Rébillé, 2023. "Representations of Preference Relations with Preutility Functions on Metric Spaces," Post-Print hal-04785477, HAL.
    • Handle: RePEc:hal:journl:hal-04785477
    DOI: 10.1007/978-981-99-0151-7_6
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