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Non-smooth dynamics and multiple equilibria in a Cournot–Ramsey model with endogenous markups

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  • Brito, Paulo B.
  • Costa, Luís F.
  • Dixon, Huw
Abstract
We consider a Ramsey model with a continuum of Cournotian industries where free entry generates an endogenous markup. The model produces two different regimes, monopolistic and Cournotian monopolistic competition, resulting in non-smooth dynamics. We analyze the global dynamics of the model, demonstrating it may exhibit heteroclinic orbits connecting multiple equilibria. Small transitory changes in parameters can lead to large permanent effects and there can be a poverty trap separating a low-capital and high-markup equilibrium from a high-capital low-markup equilibrium. We apply results from the mathematics of non-smooth dynamic systems, which provide a more general framework for understanding regime switching.

Suggested Citation

  • Brito, Paulo B. & Costa, Luís F. & Dixon, Huw, 2013. "Non-smooth dynamics and multiple equilibria in a Cournot–Ramsey model with endogenous markups," Journal of Economic Dynamics and Control, Elsevier, vol. 37(11), pages 2287-2306.
    • Handle: RePEc:eee:dyncon:v:37:y:2013:i:11:p:2287-2306
    DOI: 10.1016/j.jedc.2013.05.014
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    Cited by:

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    3. d’Aspremont, Claude & Dos Santos Ferreira, Rodolphe, 2020. "Exploiting separability in a multisectoral model of oligopolistic competition," Mathematical Social Sciences, Elsevier, vol. 106(C), pages 51-59.
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    5. Anton Bondarev, 2021. "Games Without Winners: Catching-up with Asymmetric Spillovers," Dynamic Games and Applications, Springer, vol. 11(4), pages 670-703, December.

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    More about this item

    Keywords

    Endogenous markups; Regime switch; Discontinuity-induced bifurcations;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles

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