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

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  • Xiaoliang Li

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.

Suggested Citation

  • Xiaoliang Li, 2021. "Stability analysis of heterogeneous oligopoly games of increasing players with quadratic costs," Papers 2112.13844, arXiv.org.
  • Handle: RePEc:arx:papers:2112.13844
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    File URL: http://arxiv.org/pdf/2112.13844
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