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On the Oscillations in Cournot Games with Best Response Strategies

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  • Zhengyang Liu
  • Haolin Lu
  • Liang Shan
  • Zihe Wang

Abstract

In this paper, we consider the dynamic oscillation in the Cournot oligopoly model, which involves multiple firms producing homogeneous products. To explore the oscillation under the updates of best response strategies, we focus on the linear price functions. In this setting, we establish the existence of oscillations. In particular, we show that for the scenario of different costs among firms, the best response converges to either a unique equilibrium or a two-period oscillation. We further characterize the oscillations and propose linear-time algorithms for finding all types of two-period oscillations. To the best of our knowledge, our work is the first step toward fully analyzing the periodic oscillation in the Cournot oligopoly model.

Suggested Citation

  • Zhengyang Liu & Haolin Lu & Liang Shan & Zihe Wang, 2024. "On the Oscillations in Cournot Games with Best Response Strategies," Papers 2410.09435, arXiv.org.
    • Handle: RePEc:arx:papers:2410.09435
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    References listed on IDEAS

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