Consistent conjectural variations equilibrium in a human migration model

Author(s):  
Vyacheslav Kalashnikov ◽  
Felipe J. Castillo-Perez ◽  
Aaron Arevalo-Franco ◽  
Nataliya Kalashnykova
2015 ◽  
Vol 55 ◽  
pp. 1348-1353
Author(s):  
Vyacheslav Kalashnikov ◽  
Nataliya Kalashnykova ◽  
Felipe J. Castillo-Pérez

2012 ◽  
Vol 11 (2) ◽  
pp. 195 ◽  
Author(s):  
Vyacheslav V. Kalashnikov ◽  
Nataliya I. Kalashnykova ◽  
M. Aracelia Alcorta Garcia ◽  
Yazmin G. Acosta Sanchez ◽  
Vitaly V. Kalashnikov

In this paper, we develop a bi-level human migration model using the concept of conjectural variations equilibrium (CVE). In contrast to previous works, here we construct a bi-level programming model. The upper level agents are municipalities of competing locations, whose strategies are investments into infrastructures of the locations (cities, towns, etc.). These investments aim at making the locations more attractive for both the residents and potential migrants from other locations. At the lower level of the model, the present residents (grouped into professional communities) are also considered as potential migrants to other locations. They make their decision where to migrate (if at all) comparing the expected values of the utility functions of the destinations and original locations, which are estimated by taking into account their group's conjectures concerning equilibrium migration flows between the involved locations. Applying a special technique to verify the consistency of the conjectures (influence coefficients), the existence and uniqueness results for the consistent conjectural variations equilibrium (CCVE) are established.


2007 ◽  
Vol 22 (3) ◽  
pp. 731 ◽  
Author(s):  
Vyacheslav Kalashnikov ◽  
Nataliya Kalaschnikova ◽  
Ramón Luévanos Rojas ◽  
Mario Méndez Muños ◽  
César Uranga ◽  
...  

Se aplica un modelo de migración humana al estudio de crecimiento de población en las tres ciudades aglomeradas en la región Lagunera de México. Se introducen tres tipos de funciones de utilidad para distintos grupos de población, y se investiga un equilibrio con variaciones conjeturales. Los experimentos numéricos basados en datos de las tres ciudades muestran la fuerte influencia de los coeficientes de variaciones conjeturales sobre la actividad migratoria esperada.AbstractWe extend a human migration model and apply it to study the growth of population in three agglomerated cities in the Laguna region in Mexico. Three different types of utility functions for various groups of population are proposed, and conjectural variations equilibrium is investigated. Numerical experiments demonstrate the strong influence of conjectural coefficients upon the expected migration activity.


2009 ◽  
Vol 192 (3) ◽  
pp. 717-729 ◽  
Author(s):  
Vyacheslav Kalashnikov ◽  
Claudia Kemfert ◽  
Vitaly Kalashnikov

2014 ◽  
Vol 217 (1) ◽  
pp. 281-297 ◽  
Author(s):  
Vyacheslav V. Kalashnikov ◽  
Vladimir A. Bulavsky ◽  
Vitaliy V. Kalashnikov ◽  
Nataliya I. Kalashnykova

2008 ◽  
Vol 189 (1) ◽  
pp. 208-229 ◽  
Author(s):  
Vyacheslav Kalashnikov ◽  
Nataliya Kalashnykova ◽  
Ramón Luévanos Rojas ◽  
Mario Méndez Muños ◽  
César Uranga ◽  
...  

Author(s):  
Nataliya I. Kalashnykova ◽  
◽  
Vladimir A. Bulavsky ◽  
Vyacheslav V. Kalashnikov ◽  
Felipe J. Castillo Pérez ◽  
...  

In this paper, we consider a model of mixed duopoly with Conjectured Variations Equilibrium (CVE). The agents’ conjectures concern the price variations depending on the increase or decrease in their production outputs. We establish existence and uniqueness results for the conjectured variations equilibrium (called an exterior equilibrium) for any set of feasible conjectures. To introduce the notion of an interior equilibrium, we develop a consistency criterion for the conjectures (referred to as influence coefficients) and prove the existence theorem for the interior equilibrium (understood as a CVE with consistent conjectures). To prepare the base for the extension of our results to the case of non-differentiable demand functions, we also investigate the behavior of the consistent conjectures in dependence upon a parameter representing the demand function derivative with respect to the market price.


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