Complex Dynamical Behaviors of a Mixed Duopoly Game Based on Intellectual Property Rights Protection. (28th August 2020)

• Record Type: Journal Article
• Authors: Chu, Tong; Yu, Yu; Wang, Xiaoxue
• Other Names: Chen Tingqiang Academic Editor.
• Is Part Of: Complexity. Volume 2020(2020)
• Publication Date: 2020-08-28
• Subjects: Chaotic behavior in systems -- Periodicals; Complexity (Philosophy) -- Periodicals; 003
• DOI: 10.1155/2020/4601510
• Languages: English
• ISSNs: 1076-2787

Abstract

Abstract : Based on the oligopoly game theory and the intellectual property rights protection policy, we investigate the complex dynamical behaviors of a mixed duopoly game with quadratic cost. In the new system, a few parameters are improved by considering intellectual property rights protection and the stability conditions of the Nash equilibrium point are discussed in detail. A set of the two-dimensional bifurcation diagrams is demonstrated by using numerical modeling, and these diagrams show abundant complex dynamical behaviors, such as coexistence of attractors, different bifurcation, and fractal structures. These dynamical properties can present the long-run effects of strengthening intellectual property protection.