Programación binivel y equilibrios conjeturados: resultados teóricos y algoritmos numéricos.

Flores Muñiz, José Guadalupe (2019) Programación binivel y equilibrios conjeturados: resultados teóricos y algoritmos numéricos. Doctorado thesis, Universidad Autónoma de Nuevo León.

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Resumen

This thesis presents the fruit of 3 years of research. During this time 3 works were developed, each one with its own mathematical formulations and results. These works are, of course, related to each other and will be further developed in the near future. The first work of this thesis is presented in chapter 1 and addresses the problem of defining an optimality criterion for a semi-public company in a semi-mixed duopoly model. Here, we have two agents competing, the semi-public company and a private firm, both producing a homogeneous good to satisfy the demand in the market. The private firm, as usual, seeks to maximize its net profit, while the semi-public company has a commitment to watch over the economy of the population, but at the same time, does not neglect its own profit. The compromise between these two objectives for the semipublic company is described by a parameter β ∈ (0, 1], where β → 0 represents that the semi-public company thinks only for its own net profit, and β = 1 represents that the semi-public company cares solely for the economy of the population without seeking its own benefit.

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