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Robust Ekeland variational principles. Application to the formation and stability of partnerships

Author

Listed:
  • Majid Fakhar

    (University of Isfahan)

  • Mohammadreza Khodakhah

    (University of Isfahan)

  • 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 parts. The mathematical part provides generalized versions of the robust Ekeland variational principle in terms of set-valued EVP with variable preferences, uncertain parameters and changing weights given to vectorial perturbation functions. The behavioural part that motivates our findings models the formation and stability of a partnership in a changing, uncertain and complex environment in the context of the variational rationality approach of stop, continue and go human dynamics. Our generalizations allow us to consider two very important psychological effects relative to ego depletion and goal gradient hypothesis.

Suggested Citation

  • Majid Fakhar & Mohammadreza Khodakhah & Antoine Soubeyran & Jafar Zafarani, 2023. "Robust Ekeland variational principles. Application to the formation and stability of partnerships," Post-Print hal-03482572, HAL.
    • Handle: RePEc:hal:journl:hal-03482572
    DOI: 10.1080/02331934.2021.2009826
    Note: View the original document on HAL open archive server: https://amu.hal.science/hal-03482572
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