A variational rationality perspective on the quasi-equilibrium problem: Climbing the goal ladder

Antoine Soubeyran () and João Carlos de O. Souza
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Antoine Soubeyran: AMSE - Aix-Marseille Sciences Economiques - EHESS - École des hautes études en sciences sociales - AMU - Aix Marseille Université - ECM - École Centrale de Marseille - CNRS - Centre National de la Recherche Scientifique
João Carlos de O. Souza: UFPI - Universidade Federal do Piauí, AMSE - Aix-Marseille Sciences Economiques - EHESS - École des hautes études en sciences sociales - AMU - Aix Marseille Université - ECM - École Centrale de Marseille - CNRS - Centre National de la Recherche Scientifique

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Abstract: In this paper, we examine the quasi-equilibrium problem from a variational rationality perspective. To this end, we first study the convergence of the proximal point method proposed by Bento et al. [Ann. Oper. Res. 316 (2022), 1301-1318] in the more general context of quasi-equilibrium problems using a Bregman distance. Thus, we provide an application of the method through a recent behavioral perspective, more precisely, the variational rationality approach of staying and changing human dynamics, and the important example of climbing the goal ladder in goal pursuit theory. An illustrative simulation demonstrates that Bregman distances improve the computational performance of the method compared to the Euclidean distance.

Date: 2025
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Published in Journal of Nonlinear and Variational Analysis, 2025, 9 (3), ⟨10.23952/jnva.9.2025.3.09⟩

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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:hal-05085269

DOI: 10.23952/jnva.9.2025.3.09

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