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

Majid Fakhar, Mohammadreza Khodakhah, Ali Mazyaki, Antoine Soubeyran and Jafar Zafarani
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Majid Fakhar: University of Isfahan
Mohammadreza Khodakhah: University of Isfahan
Ali Mazyaki: ATU - Allameh Tabataba’i University
Jafar Zafarani: University of Isfahan

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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.

Keywords: Variational rationality; Changing environment; Traps; Quasi-metric space; The Ekeland variational principle (search for similar items in EconPapers)
Date: 2022-01
Note: View the original document on HAL open archive server: https://amu.hal.science/hal-03378226
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Published in Journal of Global Optimization, 2022, 82, pp.161-177. ⟨10.1007/s10898-021-01061-8⟩

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Journal Article: Variational rationality, variational principles and the existence of traps in a changing environment (2022)
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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:hal-03378226

DOI: 10.1007/s10898-021-01061-8

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