Complex Dynamics of a Model with R&D Competition

Massimiliano Ferrara; Tiziana Ciano; Mariangela Gangemi; Luca Guerrini

doi:10.3390/sym13122262

Symmetry (Nov 2021)

Complex Dynamics of a Model with R&D Competition

Massimiliano Ferrara,
Tiziana Ciano,
Mariangela Gangemi,
Luca Guerrini

Affiliations

Massimiliano Ferrara: Department of Law, Economics and Human Sciences, ”Mediterranea” University of Reggio Calabria, Via dell’Università 25, 89124 Reggio Calabria, Italy
Tiziana Ciano: Department of Law, Economics and Human Sciences, ”Mediterranea” University of Reggio Calabria, Via dell’Università 25, 89124 Reggio Calabria, Italy
Mariangela Gangemi: Department of Law, Economics and Human Sciences, ”Mediterranea” University of Reggio Calabria, Via dell’Università 25, 89124 Reggio Calabria, Italy
Luca Guerrini: Decision Lab, ”Mediterranea” University of Reggio Calabria, Via dell’Università 25, 89124 Reggio Calabria, Italy

DOI: https://doi.org/10.3390/sym13122262
Journal volume & issue: Vol. 13, no. 12
p. 2262

Abstract

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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.

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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