Complex Dynamics of a Model with R&D Competition
Open Access
- 27 November 2021
- Vol. 13 (12), 2262
- https://doi.org/10.3390/sym13122262
Abstract
The paper analyzes a two-stage oligopoly game of semi-collusion in production described by a system with a symmetric structure. We examine the local stability of a Nash equilibrium and the presence of bifurcations. We discover that the model is capable of exhibiting extremely complicated dynamic behaviors.Keywords
This publication has 14 references indexed in Scilit:
- A dynamic Stackelberg duopoly model with different strategiesChaos, Solitons, and Fractals, 2016
- Market structure and R&D investment spilloversEconomic Modelling, 2014
- Dynamical Cournot game with bounded rationality and time delay for marginal profitMathematics and Computers in Simulation, 2014
- Competitiveness and R&D competition revisitedEconomic Modelling, 2013
- A dynamic model of oligopoly with R&D externalities along networks. Part IIMathematics and Computers in Simulation, 2012
- A dynamic model of oligopoly with R&D externalities along networks. Part I.Mathematics and Computers in Simulation, 2012
- Time Delay-Induced Instabilities and Hopf Bifurcations in General Reaction–Diffusion SystemsJournal of Nonlinear Science, 2012
- Nonlinear dynamics in a heterogeneous duopoly game with adjusting players and diseconomies of scaleCommunications in Nonlinear Science and Numerical Simulation, 2011
- Modelling imperfectly appropriable R&D via spilloversInternational Journal of Industrial Organization, 2000
- On the Dynamic Efficiency of Bertrand and Cournot EquilibriaJournal of Economic Theory, 1997