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Consistent Conjectural Variations Equilibrium for a Bilevel Human Migration Model

Author

Listed:
  • Daniela Osorio-González

    (Universidad Autónoma de Nuevo León (UANL))

  • José Guadalupe Flores-Muñiz

    (Universidad Autónoma de Nuevo León (UANL))

  • Nataliya Kalashnykova

    (Universidad Autónoma de Nuevo León (UANL))

  • Viacheslav Kalashnikov

    (Universidad Autónoma de Nuevo León (UANL))

Abstract

This paper extends the human migration model introduced in previous works to the framework of consistent conjectural variations. First, we introduce the standard multiclass human migration network equilibrium model that describes the movement of migrants between locations. Next, we introduce the concept of conjectural variations, in which migrants conjecture about the (expected) utility of locations after their migration. We define the concept of conjectural variations equilibrium and present results regarding the conditions for its existence and uniqueness. Following that, we define the concept of consistency for the migrants’ conjectures and the consistent conjectural variations equilibrium (CCVE). Finally, we describe the conditions that guarantee the existence of the CCVE.

Suggested Citation

  • Daniela Osorio-González & José Guadalupe Flores-Muñiz & Nataliya Kalashnykova & Viacheslav Kalashnikov, 2024. "Consistent Conjectural Variations Equilibrium for a Bilevel Human Migration Model," Journal of Optimization Theory and Applications, Springer, vol. 203(3), pages 2354-2369, December.
    • Handle: RePEc:spr:joptap:v:203:y:2024:i:3:d:10.1007_s10957-024-02489-0
    DOI: 10.1007/s10957-024-02489-0
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    References listed on IDEAS

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    1. A. Causa & B. Jadamba & F. Raciti, 2017. "A migration equilibrium model with uncertain data and movement costs," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 40(1), pages 159-175, November.
    2. Nancy Solis-García & José Guadalupe Flores-Muñiz & Vladik Kreinovich & Nataliya Kalashnykova & Viacheslav Kalashnikov, 2022. "Consistent Conjectural Variations Equilibrium for a Financial Model," Journal of Optimization Theory and Applications, Springer, vol. 194(3), pages 966-987, September.
    3. Nagurney, Anna & Pan, Jie & Zhao, Lan, 1992. "Human migration networks," European Journal of Operational Research, Elsevier, vol. 59(2), pages 262-274, June.
    4. Gabriela Renata Huarachi-Benavídez & José Guadalupe Flores-Muñiz & Nataliya Kalashnykova & Viacheslav Kalashnikov, 2021. "Consistent Conjectural Variations Equilibrium in the Semi-Mixed Oligopoly," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-14, June.
    5. N. D. Yen, 1995. "Lipschitz Continuity of Solutions of Variational Inequalities with a Parametric Polyhedral Constraint," Mathematics of Operations Research, INFORMS, vol. 20(3), pages 695-708, August.
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