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

Author

Listed:
  • Majid Fakhar

    (University of Isfahan)

  • Mohammadreza Khodakhah

    (University of Isfahan)

  • Ali Mazyaki

    (ATU - Allameh Tabataba’i University)

  • Antoine Soubeyran

    (AMSE - Aix-Marseille Sciences Economiques - EHESS - École des hautes études en sciences sociales - AMU - Aix Marseille Université - ECM - École Centrale de Marseille - CNRS - Centre National de la Recherche Scientifique)

  • Jafar Zafarani

    (University of Isfahan)

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.

Suggested Citation

  • Majid Fakhar & Mohammadreza Khodakhah & Ali Mazyaki & Antoine Soubeyran & Jafar Zafarani, 2022. "Variational rationality, variational principles and the existence of traps in a changing environment," Post-Print hal-03378226, HAL.
    • Handle: RePEc:hal:journl:hal-03378226
    DOI: 10.1007/s10898-021-01061-8
    Note: View the original document on HAL open archive server: https://amu.hal.science/hal-03378226
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    Cited by:

    1. Le Phuoc Hai & Phan Quoc Khanh & Antoine Soubeyran, 2022. "General Versions of the Ekeland Variational Principle: Ekeland Points and Stop and Go Dynamics," Journal of Optimization Theory and Applications, Springer, vol. 195(1), pages 347-373, October.

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