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Conditions for stable equilibrium in Cournot duopoly models with tax evasion and time delay

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  • Raul Villafuerte-Segura
  • Eduardo Alvarado-Santos
  • Benjamin A. Itza-Ortiz

Abstract

We provide conditions for stable equilibrium in Cournot duopoly models with tax evasion and time delay. We prove that our conditions actually imply asymptotically stable equilibrium and delay independence. Conditions include the same marginal cost and equal probability for evading taxes. We give examples of cost and inverse demand functions satisfying the proposed conditions. Some economic interpretations of our results are also included.

Suggested Citation

  • Raul Villafuerte-Segura & Eduardo Alvarado-Santos & Benjamin A. Itza-Ortiz, 2019. "Conditions for stable equilibrium in Cournot duopoly models with tax evasion and time delay," Papers 1905.02817, arXiv.org, revised Oct 2019.
    • Handle: RePEc:arx:papers:1905.02817
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    References listed on IDEAS

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    1. Gori, Luca & Guerrini, Luca & Sodini, Mauro, 2015. "A continuous time Cournot duopoly with delays," Chaos, Solitons & Fractals, Elsevier, vol. 79(C), pages 166-177.
    2. Howroyd, T. D. & Russell, A. M., 1984. "Cournot oligopoly models with time delays," Journal of Mathematical Economics, Elsevier, vol. 13(2), pages 97-103, October.
    3. Laszlo Goerke & Marco Runkel, 2011. "Tax evasion and competition," Scottish Journal of Political Economy, Scottish Economic Society, vol. 58(5), pages 711-736, November.
    4. O. Bundau & M. Neamtu & D. Opris, 2007. "Rent seeking games with tax evasion," Papers 0706.0664, arXiv.org.
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