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Consistent Conjectural Variations Equilibrium for a Bilevel Human Migration Model

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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.

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Acknowledgements

This research was financially supported in Mexico by the National Council for Science and Technology (CONAHCYT), CONAHCYT Program for Postdoctoral Stays.

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Authors and Affiliations

  1. Department of Physics and Mathematics, Universidad Autónoma de Nuevo León (UANL), San Nicolás de los Garza, Nuevo León, Mexico

    Daniela Osorio-González, José Guadalupe Flores-Muñiz, Nataliya Kalashnykova & Viacheslav Kalashnikov

Authors
  1. Daniela Osorio-González
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  2. José Guadalupe Flores-Muñiz
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  3. Nataliya Kalashnykova
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  4. Viacheslav Kalashnikov
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Corresponding author

Correspondence to José Guadalupe Flores-Muñiz.

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Communicated by Nguyen Dong Yen.

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Osorio-González, D., Flores-Muñiz, J.G., Kalashnykova, N. et al. Consistent Conjectural Variations Equilibrium for a Bilevel Human Migration Model. J Optim Theory Appl 203, 2354–2369 (2024). https://doi.org/10.1007/s10957-024-02489-0

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