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Estudio de la estabilidad y de las bifurcaciones de los equilibrios de un sistema dinámico. Aplicación al mercado cervecero español

Velasco Morente, F ; Nadal Morales, P ; GONZÁLEZ ABRIL, L ; VÍLCHEZ LOBATO, Mª L

Estudios de economía aplicada, 2007-04, Vol.25 (1), p.321-322

Madrid: Estudios de Economía Aplicada

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  • Título:
    Estudio de la estabilidad y de las bifurcaciones de los equilibrios de un sistema dinámico. Aplicación al mercado cervecero español
  • Autor: Velasco Morente, F ; Nadal Morales, P ; GONZÁLEZ ABRIL, L ; VÍLCHEZ LOBATO, Mª L
  • Assuntos: Bifurcación de codimensión 1 ; Breweries ; Codimension one bifurcation ; Economic models ; Estabilidad ; Mercado cervecero español ; Spanish brewer market ; Stability
  • É parte de: Estudios de economía aplicada, 2007-04, Vol.25 (1), p.321-322
  • Descrição: This paper deals with the theory of codimension one bifurcations applied to a discrete-time economic dynamic model, that relates the current and potential market of a collective anyone. First, some necessary and sufficient conditions are established for the stability of the only stationary state of the system, according to the values of the economic parameters of the model. This allow us to classify the equilibrium point in a parametric space. In this context, structural stability is a key point to study, that is, if the qualitative dynamic properties of the system persist when its structure is perturbed. The study of the structural stability is the first step to follow in the analysis of the bifurcations lying in the system. The values of the parameters for which the system is not structurally stable are called bifurcation values. So secondly, changes in the number and/or the stability of stationay states are analyzed, focussing our attention on codimension one bifurcations (Flip, Fold and Neimark-Sacker bifurcations). Finally, a numerical example is presented where results are applied to the Spanish beer market. A time evolution analysis is made and we give economic sense to the obtained results.
  • Editor: Madrid: Estudios de Economía Aplicada
  • Idioma: Espanhol
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