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Antoine Soubeyran, João Carlos de O. Souza, A variational rationality perspective on the quasi-equilibrium problem: Climbing the goal ladder

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DOI: 10.23952/jnva.9.2025.3.09

Volume 9, Issue 3, 1 June 2025, Pages 461-478

 

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.

 

How to Cite this Article:
A. Soubeyran, J.C.O. Souza, A variational rationality perspective on the quasi-equilibrium problem: Climbing the goal ladder, J. Nonlinear Var. Anal. 9 (2025), 461-478.