Geodesic
A Migration Equilibrium Model with Inverse Utility Functions
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 155 (2013) no. 2, pp. 91-99 Cet article a éte moissonné depuis la source Math-Net.Ru

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An equilibrium-type population migration model based on using inverse utility functions of points (regions) instead of the usual ones is suggested. It is shown that this approach makes it possible to formulate the model as an extended system of primal-dual variational inequalities. Based upon this approach, new iterative methods for finding the equilibrium state of the system are proposed.
Keywords: population migration model, inverse utility functions, system of primal-dual variational inequalities, iterative methods. 
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I. V. Konnov. A Migration Equilibrium Model with Inverse Utility Functions. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 155 (2013) no. 2, pp. 91-99. http://geodesic.mathdoc.fr/item/UZKU_2013_155_2_a7/

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