1. Variational rationality, variational principles and the existence of traps in a changing environment
- Author
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M. Fakhar, Jafar Zafarani, Antoine Soubeyran, Mohammadreza Khodakhah, Ali Mazyaki, University of Isfahan, Allameh Tabataba’i University (ATU), Aix-Marseille Sciences Economiques (AMSE), École des hautes études en sciences sociales (EHESS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), and École des hautes études en sciences sociales (EHESS)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)
- Subjects
Control and Optimization ,Optimization problem ,The Ekeland variational principle ,0211 other engineering and technologies ,Context (language use) ,Rationality ,010103 numerical & computational mathematics ,02 engineering and technology ,Management Science and Operations Research ,01 natural sciences ,Continuation ,Variational principle ,0101 mathematics ,Variational analysis ,Global optimization ,Traps ,Mathematics ,Variational rationality ,021103 operations research ,Triangle inequality ,Applied Mathematics ,AD ,[SHS.ECO]Humanities and Social Sciences/Economics and Finance ,Computer Science Applications ,Changing environment ,Quasi-metric space ,Mathematical economics - Abstract
International audience; This paper has two aspects. Mathematically, in the context of global optimization, it provides the existence of an optimum of a perturbed optimization problem that generalizes the celebrated Ekeland variational principle and equivalent formulations (Caristi, Takahashi), whenever the perturbations need not satisfy the triangle inequality. Behaviorally, it is a continuation of the recent variational rationality approach of stay (stop) and change (go) human dynamics. It gives sufficient conditions for the existence of traps in a changing environment. In this way it emphasizes even more the striking correspondence between variational analysis in mathematics and variational rationality in psychology and behavioral sciences.
- Published
- 2021