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Variational rationality, variational principles and the existence of traps in a changing environment

Abstract : 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.
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https://hal-amu.archives-ouvertes.fr/hal-03378226
Contributor : Elisabeth Lhuillier Connect in order to contact the contributor
Submitted on : Wednesday, October 20, 2021 - 3:10:15 PM
Last modification on : Tuesday, February 15, 2022 - 5:57:31 PM
Long-term archiving on: : Friday, January 21, 2022 - 8:08:12 PM

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Majid Fakhar, Mohammadreza Khodakhah, Ali Mazyaki, Antoine Soubeyran, Jafar Zafarani. Variational rationality, variational principles and the existence of traps in a changing environment. Journal of Global Optimization, 2022, 82, pp.161-177. ⟨10.1007/s10898-021-01061-8⟩. ⟨hal-03378226⟩

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