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

Majid Fakhar (), Mohammadreza Khodakhah (), Ali Mazyaki (), Antoine Soubeyran and Jafar Zafarani ()
Additional contact information
Majid Fakhar: University of Isfahan
Mohammadreza Khodakhah: University of Isfahan
Ali Mazyaki: Allameh Tabataba’i University
Jafar Zafarani: University of Isfahan

Journal of Global Optimization, 2022, vol. 82, issue 1, No 8, 177 pages

Abstract: 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: Quasi-metric space; The Ekeland variational principle; Variational rationality; Changing environment; Traps; 47J20; 49J53; 91B50; 91E40 (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10898-021-01061-8

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