Stability of a continuous reaction-diffusion Cournot-Kopel duopoly game model

DOI10.1007/S10440-014-9932-XzbMath1304.35338OpenAlexW1986521498MaRDI QIDQ404886

Salvatore Rionero, Isabella Torcicollo

Publication date: 4 September 2014

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-014-9932-x

zbMATH Keywords

nonlinear stabilitycross-diffusionself-diffusioncontinuous Cournot-Kopel modelLiapunov direct methodnonautonomous binary dynamical systems of PDEsnonlinear duopoly game

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Special types of economic markets (including Cournot, Bertrand) (91B54) Economic dynamics (91B55) PDEs in connection with game theory, economics, social and behavioral sciences (35Q91) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (11)

The non-linear energy stability of Brinkman thermosolutal convection with reaction ⋮ Nonlinear stability and numerical simulations for a reaction-diffusion system modelling Allee effect on predators ⋮ Complex dynamics of Kopel model with nonsymmetric response between oligopolists ⋮ \(L^2\)-energy decay of convective nonlinear PDEs reaction-diffusion systems via auxiliary ODEs systems ⋮ Stability of equilibrium production-price in a dynamic duopoly Cournot-Bertrand game with asymmetric information and cluster spillovers ⋮ Analysis of a model for waterborne diseases with Allee effect on bacteria ⋮ On the dynamics of an intraguild predator-prey model ⋮ Turing patterns in a reaction-diffusion system modeling hunting cooperation ⋮ Instability of vertical constant through flows in binary mixtures in porous media with large pores ⋮ Neimark-Sacker bifurcation and the generate cases of Kopel oligopoly model with different adjustment speed ⋮ Global Dynamics and Synchronization in a Duopoly Game with Bounded Rationality and Consumer Surplus

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