Complex Dynamics of a Model with R&D Competition

被引:1
作者
Ferrara, Massimiliano [1 ,2 ,3 ]
Ciano, Tiziana [1 ,3 ]
Gangemi, Mariangela [1 ,3 ]
Guerrini, Luca [3 ,4 ]
机构
[1] Mediterranea Univ Reggio Calabria, Dept Law Econ & Human Sci, Via Univ 25, I-89124 Reggio Di Calabria, Italy
[2] Bocconi Univ, Dept Management & Technol, ICRIOS Invernizzi Ctr Res Innovat Org Strategy &, Via Sarfatti 25, I-20136 Milan, Italy
[3] Mediterranea Univ Reggio Calabria, Decis Lab, Via Univ 25, I-89124 Reggio Di Calabria, Italy
[4] Polytech Univ Marche, Dept Management, Piazzale Martelli 8, I-60121 Ancona, Italy
来源
SYMMETRY-BASEL | 2021年 / 13卷 / 12期
关键词
hopf bifurcation; R&D; time delay; DEVELOPMENT EXTERNALITIES; DUOPOLY; OLIGOPOLY;
D O I
10.3390/sym13122262
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
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.
引用
收藏
页数:7
相关论文
共 16 条
[1]   Modelling imperfectly appropriable R&D via spillovers [J].
Amir, R .
INTERNATIONAL JOURNAL OF INDUSTRIAL ORGANIZATION, 2000, 18 (07) :1013-1032
[2]   A dynamic model of oligopoly with R&D externalities along networks. Part II [J].
Bischi, Gian Italo ;
Lamantia, Fabio .
MATHEMATICS AND COMPUTERS IN SIMULATION, 2012, 84 :66-82
[3]   A dynamic model of oligopoly with R&D externalities along networks. Part I. [J].
Bischi, Gian Italo ;
Lamantia, Fabio .
MATHEMATICS AND COMPUTERS IN SIMULATION, 2012, 84 :51-65
[4]  
Cao Y, 2021, MATH COMPUT SIMUL, DOI [10.1016/j.matcom.2021.03.007, DOI 10.1016/J.MATCOM.2021.03.007]
[5]   Complex dynamics and multistability with increasing rationality in market games [J].
Cavalli, Fausto ;
Naimzada, Ahmad .
CHAOS SOLITONS & FRACTALS, 2016, 93 :151-161
[6]   Time Delay-Induced Instabilities and Hopf Bifurcations in General Reaction-Diffusion Systems [J].
Chen, Shanshan ;
Shi, Junping ;
Wei, Junjie .
JOURNAL OF NONLINEAR SCIENCE, 2013, 23 (01) :1-38
[7]  
DASPREMONT C, 1988, AM ECON REV, V78, P1133
[8]   Dynamical Cournot game with bounded rationality and time delay for marginal profit [J].
Ding, Zhanwen ;
Zhu, Xiaofeng ;
Jiang, Shumin .
MATHEMATICS AND COMPUTERS IN SIMULATION, 2014, 100 :1-12
[9]   Nonlinear dynamics in a heterogeneous duopoly game with adjusting players and diseconomies of scale [J].
Dubiel-Teleszynski, Tomasz .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 16 (01) :296-308
[10]  
KAMIEN MI, 1992, AM ECON REV, V82, P1293