Consistent Conjectural Variations Equilibrium for a Bilevel Human Migration Model

Daniela Osorio-González (), José Guadalupe Flores-Muñiz (), Nataliya Kalashnykova () and Viacheslav Kalashnikov ()
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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)

Journal of Optimization Theory and Applications, 2024, vol. 203, issue 3, No 11, 2354-2369

Abstract: 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.

Keywords: Game theory; Human migration; Conjectural variations; Meta-game (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s10957-024-02489-0

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