Stability of a continuous reaction-diffusion Cournot-Kopel Duopoly Game Model (Articolo in rivista)

Type
Label
  • Stability of a continuous reaction-diffusion Cournot-Kopel Duopoly Game Model (Articolo in rivista) (literal)
Anno
  • 2014-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1007/s10440-014-9932-x (literal)
Alternative label
  • S. Rionero, I. Torcicollo (2014)
    Stability of a continuous reaction-diffusion Cournot-Kopel Duopoly Game Model
    in Acta applicandae mathematicae
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • S. Rionero, I. Torcicollo (literal)
Rivista
Note
  • ISI Web of Science (WOS) (literal)
  • Google Scholar (literal)
  • Scopus (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • S. Rionero: Università di Napoli Federico II; Accademia Nazionale dei Lincei (literal)
Titolo
  • Stability of a continuous reaction-diffusion Cournot-Kopel Duopoly Game Model (literal)
Abstract
  • In order to take into account the territory in which the outputs are in the market and the time-depending firms' strategies, the discrete Cournot duopoly game (with adaptive expectations, modeled by Kopel) is generalized through a non autonomous reaction-diffusion binary system of PDEs, with self and cross diffusion terms. Linear and nonlinear asymptotic $L^2$-stability, via the Lapunov Direct Method and a nonautonomous energy functional, are investigated. (literal)
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