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Equilibrium versions of set-valued variational principles and their applications to organizational behavior

Author

Listed:
  • Jing-Hui Qiu

    (Soochow 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)

  • Fei He

    (Inner Mongolia University)

Abstract

By using a pre-order principle in [Qiu JH. A pre-order principle and set-valued Ekeland variational principle. J Math Anal Appl. 2014;419:904–937], we establish a general equilibrium version of set-valued Ekeland variational principle (denoted by EVP), where the objective function is a set-valued bimap defined on the product of left-complete quasi-metric spaces and taking values in a quasi-ordered linear space, and the perturbation consists of a cone-convex subset of the ordering cone multiplied by the quasi-metric. Moreover, we obtain an equilibrium EVP, where the perturbation contains a σ-convex subset and the quasi-metric. From the above two general EVPs, we deduce several interesting corollaries, which extend and improve the related known results. Several examples show that the obtained set-valued EVPs are new. Finally, applying the above EVPs to organizational behavior sciences, we obtain some interesting results on organizational change and development with leadership. In particular, we show that the existence of robust organizational traps.

Suggested Citation

  • Jing-Hui Qiu & Antoine Soubeyran & Fei He, 2020. "Equilibrium versions of set-valued variational principles and their applications to organizational behavior," Post-Print hal-02465110, HAL.
    • Handle: RePEc:hal:journl:hal-02465110
    DOI: 10.1080/02331934.2020.1718127
    Note: View the original document on HAL open archive server: https://amu.hal.science/hal-02465110
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    References listed on IDEAS

    as
    1. Phan Khanh & Dinh Quy, 2013. "Versions of Ekeland’s variational principle involving set perturbations," Journal of Global Optimization, Springer, vol. 57(3), pages 951-968, November.
    2. Truong Q. Bao & Boris S. Mordukhovich & Antoine Soubeyran, 2015. "Minimal points, variational principles, and variable preferences in set optimization," Post-Print hal-01457319, HAL.
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    Cited by:

    1. Antoine Soubeyran, 2022. "Variational rationality: Finding the inequations of motion of a person seeking to meet his needs," Working Papers hal-04065103, HAL.
    2. Antoine Soubeyran, 2023. "Variational rationality: Finding the inequations of motion of a person seeking to meet his needs," AMSE Working Papers 2309, Aix-Marseille School of Economics, France.

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