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Variational analysis and Variational rationality in Behavioral sciences: stationary traps

Author

Listed:
  • Boris S Mordukhovich

    (Wayne State University [Detroit])

  • 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)

Abstract

This paper concerns applications of variational analysis to some local aspects of behavioral science modeling by developing an effective variational rationality approach to these and related issues. Our main attention is paid to local stationary traps, which reflect such local equilibrium and the like positions in behavioral science models that are not worthwhile to quit. We establish constructive linear optimistic evaluations of local stationary traps by using generalized differential tools of variational analysis that involve subgradients and normals for nonsmooth and nonconvex objects as well as variational and extremal principles.

Suggested Citation

  • Boris S Mordukhovich & Antoine Soubeyran, 2019. "Variational analysis and Variational rationality in Behavioral sciences: stationary traps," Post-Print hal-02084636, HAL.
    • Handle: RePEc:hal:journl:hal-02084636
    Note: View the original document on HAL open archive server: https://amu.hal.science/hal-02084636
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    File URL: https://amu.hal.science/hal-02084636/document
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    Cited by:

    1. Majid Fakhar & Mohammadreza Khodakhah & Ali Mazyaki & Antoine Soubeyran & Jafar Zafarani, 2022. "Variational rationality, variational principles and the existence of traps in a changing environment," Journal of Global Optimization, Springer, vol. 82(1), pages 161-177, January.

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