Bifurcation Analysis of a Duopoly Game with R&amp;D Spillover, Price Competition and Time Delays

B.  A. Pansera; L. Guerrini; M. Ferrara; T. Ciano

doi:10.3390/sym12020257

Symmetry (Feb 2020)

Bifurcation Analysis of a Duopoly Game with R&D Spillover, Price Competition and Time Delays

B. A. Pansera,
L. Guerrini,
M. Ferrara,
T. Ciano

Affiliations

B. A. Pansera: Department of Law, Economics and Human Sciences & Decision_lab, “Mediterranea” University of Reggio Calabria, via dell’Università, 25, 89124 Reggio Calabria, Italy
L. Guerrini: Department of Management, Polytechnic University of Marche, Piazzale Martelli 8, 60121 Ancona, Italy
M. Ferrara: Department of Law, Economics and Human Sciences & Decision_lab, “Mediterranea” University of Reggio Calabria, via dell’Università, 25, 89124 Reggio Calabria, Italy
T. Ciano: Department of Law, Economics and Human Sciences & Decision_lab, “Mediterranea” University of Reggio Calabria, via dell’Università, 25, 89124 Reggio Calabria, Italy

DOI: https://doi.org/10.3390/sym12020257
Journal volume & issue: Vol. 12, no. 2
p. 257

Abstract

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The aim of this study is to analyse a discrete-time two-stage game with R&D competition by considering a continuous-time set-up with fixed delays. The model is represented in the form of delay differential equations. The stability of all the equilibrium points is studied. It is found that the model exhibits very complex dynamical behaviours, and its Nash equilibrium is destabilised via Hopf bifurcations.

Published in Symmetry

ISSN: 2073-8994 (Online)
Publisher: MDPI AG
Country of publisher: Switzerland
LCC subjects: Science: Mathematics
Website: http://www.mdpi.com/journal/symmetry/

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