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Equilibrium With Non‐Convex Preferences: Some Insights

Ngoc-Sang Pham () and Cuong Le Van ()
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Ngoc-Sang Pham: EM Normandie - École de Management de Normandie = EM Normandie Business School
Cuong Le Van: IPAG Business School, CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École nationale des ponts et chaussées - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement, CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, TIMAS, Thang Long University

PSE-Ecole d'économie de Paris (Postprint) from HAL

Abstract: We study the existence of equilibrium when agents' preferences may not be convex. For some specific utility functions, we provide a necessary and sufficient condition under which there exists an equilibrium. The standard approach cannot be directly applied to our examples because the demand correspondence of some agents is neither single‐valued nor convex‐valued.

Date: 2025-11-25
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Published in Bulletin of Economic Research, 2025, ⟨10.1111/boer.70024⟩

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Persistent link: https://EconPapers.repec.org/RePEc:hal:pseptp:hal-05498308

DOI: 10.1111/boer.70024

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