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Prediction on the competitive outcome of an enterprise under the adjustment mechanism

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  • Ren, Jing
  • Sun, Hao
  • Xu, Genjiu
  • Hou, Dongshuang

Abstract

This paper mainly explores adjustment mechanisms influence on the competitive outcome of an enterprise. Based on the estimation of marginal profit, we construct a competitive model of two enterprises with adjustment mechanism, in order to describe the evolution of production. Furthermore, we discuss the competitive outcome under two different circumstances. When these two companies co-exist in a same industry market, the adjustment mechanism is conductive to reducing the gap between them both in output and profit. As a result, that difference can be eliminated in a specific condition, which means that two firms reach the state of Nash equilibrium. However, when one enterprise is dislodged from the market and the other takes full control, the bankrupt one can either pile into the market or lose it all the same in terms of the adjustment mechanism. Numerical simulations are also presented to verify our results.

Suggested Citation

  • Ren, Jing & Sun, Hao & Xu, Genjiu & Hou, Dongshuang, 2020. "Prediction on the competitive outcome of an enterprise under the adjustment mechanism," Applied Mathematics and Computation, Elsevier, vol. 372(C).
  • Handle: RePEc:eee:apmaco:v:372:y:2020:i:c:s0096300319309610
    DOI: 10.1016/j.amc.2019.124969
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    References listed on IDEAS

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    1. Naimzada, Ahmad K. & Sbragia, Lucia, 2006. "Oligopoly games with nonlinear demand and cost functions: Two boundedly rational adjustment processes," Chaos, Solitons & Fractals, Elsevier, vol. 29(3), pages 707-722.
    2. Szidarovszky, F & Yakowitz, S, 1977. "A New Proof of the Existence and Uniqueness of the Cournot Equilibrium," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 18(3), pages 787-789, October.
    3. Ding, Zhanwen & Shi, Guiping, 2009. "Cooperation in a dynamical adjustment of duopoly game with incomplete information," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 989-993.
    4. Yi, Sang-Seung, 1997. "On the existence of a unique correlated equilibrium in Cournot oligopoly," Economics Letters, Elsevier, vol. 54(3), pages 235-239, July.
    5. Liu, Luchuan, 1996. "Correlated Equilibrium of Cournot Oligopoly Competition," Journal of Economic Theory, Elsevier, vol. 68(2), pages 544-548, February.
    6. Elsadany, A.A., 2017. "Dynamics of a Cournot duopoly game with bounded rationality based on relative profit maximization," Applied Mathematics and Computation, Elsevier, vol. 294(C), pages 253-263.
    7. K. Gopalsamy & Pei-Xuan Weng, 1993. "Feedback regulation of logistic growth," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 16, pages 1-16, January.
    8. Nirvikar Singh & Xavier Vives, 1984. "Price and Quantity Competition in a Differentiated Duopoly," RAND Journal of Economics, The RAND Corporation, vol. 15(4), pages 546-554, Winter.
    9. Dixit, Avinash K, 1986. "Comparative Statics for Oligopoly," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 27(1), pages 107-122, February.
    10. Askar, S.S. & Alshamrani, Ahmad M. & Alnowibet, K., 2016. "The arising of cooperation in Cournot duopoly games," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 535-542.
    11. Agiza, H.N. & Hegazi, A.S. & Elsadany, A.A., 2002. "Complex dynamics and synchronization of a duopoly game with bounded rationality," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 58(2), pages 133-146.
    12. Askar, S.S. & Alnowibet, K., 2016. "Nonlinear oligopolistic game with isoelastic demand function: Rationality and local monopolistic approximation," Chaos, Solitons & Fractals, Elsevier, vol. 84(C), pages 15-22.
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    Cited by:

    1. Ren, Jing & Sun, Hao & Xu, Genjiu & Hou, Dongshuang, 2023. "Convergence of output dynamics in duopoly co-opetition model with incomplete information," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 207(C), pages 209-225.
    2. Skrynkovskyy, Ruslan & Pavlenchyk, Nataliia & Tsyuh, Svyatoslav & Zanevskyy, Ihor & Pavlenchyk, Anatoliі, 2022. "Economic-mathematical model of enterprise profit maximization in the system of sustainable development values," Agricultural and Resource Economics: International Scientific E-Journal, Agricultural and Resource Economics: International Scientific E-Journal, vol. 8(4), December.

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