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| Study on Complexity About a Category Three-Oligopoly System with R&D Investment Considering Multi-Factors |
| SUN Lijian1,2, MA Junhai1
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1. College of Management and Economics, Tianjin University, Tianjin 300072, China;
2. College of Science, Tianjin University of Science and Technology, Tianjin 300457, China |
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Abstract In this paper, a R&D input game model with spillovers, endogenous demand in a triopoly market is considered. All the players only get incomplete information and we assume they are all bounded rational. Two players make up a cooperative team, and share the technology achievements completely. On the basis of analyzing the stabilities of the only Nash equilibrium point, three-dimensional stable regions are investigated. The complex dynamics, such as bifurcation scenarios, route to chaos are displayed by 2D bifurcation diagrams. Impact of the adjustment speed, spillover rate and endogenous demand parameter on the profit is studied.
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Received: 23 November 2014
Published: 25 February 2025
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