2023/01/30 by Xiaoliang Li, Li, Xiaoliang, Kongyan Chen +1
Business, Management and Accounting · Decision Sciences · Economics, Econometrics and Finance · #Business Strategy and Innovation #Dynamical Systems (math.DS) #FOS: Economics and business #FOS: Mathematics #Game Theory and Applications #Merger and Competition Analysis #Theoretical Economics (econ.TH)
paper · pdf · doi:10.48550/arxiv.2301.12628
openalex publication_date 2023/01/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we investigate the equilibria and their stability in an asymmetric duopoly model of Kopel by using several tools based on symbolic computations. We explore the possible positions of the equilibria in Kopel's model. We discuss the possibility of the existence of multiple positive equilibria and establish a necessary and sufficient condition for a given number of equilibria to exist. Furthermore, if the two duopolists adopt the best response reactions or homogeneous adaptive expectations, we establish rigorous conditions for the existence of distinct numbers of positive equilibria for the first time.