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Variational principles with generalized distances and the modelization of organizational change

Author

Listed:
  • Truong Bao

    (Northern Michigan University)

  • Phan Khanh

    (VNU-HCM - Vietnam National University, Ho Chi Minh City / Đại học Quốc gia TP. Hồ Chí Minh)

  • Antoine Soubeyran

    (GREQAM - Groupement de Recherche en Économie Quantitative d'Aix-Marseille - EHESS - École des hautes études en sciences sociales - AMU - Aix Marseille Université - ECM - École Centrale de Marseille - CNRS - Centre National de la Recherche Scientifique)

Abstract

This paper has a twofold focus. The mathematical aspect of the paper shows that new and existing quasimetric and weak r-distance versions of Ekeland's variational principle are equivalent in the sense that one implies the other, and so are their corresponding fixed-point results. The practical aspect of the paper, using a recent variational rationality approach of human behaviour, offers a model of organizational change, where generalized distances model inertia in terms of resistance to change. The formation and breaking of routines relative to hiring and firing workers will be used to illustrate the obtained results.

Suggested Citation

  • Truong Bao & Phan Khanh & Antoine Soubeyran, 2016. "Variational principles with generalized distances and the modelization of organizational change," Post-Print hal-01690191, HAL.
    • Handle: RePEc:hal:journl:hal-01690191
    DOI: 10.1080/02331934.2016.1228062
    Note: View the original document on HAL open archive server: https://amu.hal.science/hal-01690191
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    Citations

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    Cited by:

    1. J. X. Cruz Neto & P. R. Oliveira & A. Soubeyran & J. C. O. Souza, 2020. "A generalized proximal linearized algorithm for DC functions with application to the optimal size of the firm problem," Annals of Operations Research, Springer, vol. 289(2), pages 313-339, June.
    2. 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.
    3. T. Q. Bao & S. Cobzaş & A. Soubeyran, 2018. "Variational principles, completeness and the existence of traps in behavioral sciences," Annals of Operations Research, Springer, vol. 269(1), pages 53-79, October.

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