Stability analysis of heterogeneous oligopoly games of increasing players with quadratic costs

2021/12/24 by Xiaoliang Li, Li, Xiaoliang
Decision Sciences · Economics, Econometrics and Finance · #Dynamical Systems (math.DS) #Economic theories and models #FOS: Computer and information sciences #FOS: Economics and business #FOS: Mathematics #Game Theory and Applications #Merger and Competition Analysis #Symbolic Computation (cs.SC) #Theoretical Economics (econ.TH)

paper · pdf · doi:10.48550/arxiv.2112.13844

openalex publication_date 2021/12/24 · openalex created_date 2022/05/05 · openalex updated_date 2026/07/28

Abstract

In this discussion draft, we explore heterogeneous oligopoly games of increasing players with quadratic costs, where the market is supposed to have the isoelastic demand. For each of the models considered in this draft, we analytically investigate the necessary and sufficient condition of the local stability of its positive equilibrium. Furthermore, we rigorously prove that the stability regions are enlarged as the number of involved firms is increasing.

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