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Non-Smooth Dynamics and Multiple Equilibria in a Cournt-Ramsey Model with Endogenous Markups

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  • Paulo Brito
  • Luís Costa
  • Huw Dixon

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, monopoly and oligopoly, resulting in non-smooth dynamics. We analyze the global dynamics of the model, demonstrating the model may exhibit heteroclinic orbits connecting multiple equilibria. Small transitory changes in parameters can lead to large permanent effects and there can be a Rostovian poverty trap separating a low-capital and high-markup equilibrium from a high-capital low-markup equilibrium. The paper applies recent results from applied mathematics for non-smooth dynamic systems.

Suggested Citation

  • Paulo Brito & Luís Costa & Huw Dixon, 2010. "Non-Smooth Dynamics and Multiple Equilibria in a Cournt-Ramsey Model with Endogenous Markups," Working Papers Department of Economics 2010/14, ISEG - Lisbon School of Economics and Management, Department of Economics, Universidade de Lisboa.
    • Handle: RePEc:ise:isegwp:wp142010
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    Cited by:

    1. Savagar, Anthony, 2021. "Measured productivity with endogenous markups and economic profits," Journal of Economic Dynamics and Control, Elsevier, vol. 133(C).
    2. 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.
    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.
    4. Francesco Carli & Leonor Modesto, 2022. "Sovereign debt, fiscal policy, and macroeconomic instability," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 24(6), pages 1386-1412, December.
    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; Non-smooth dynamics; Discontinuity induced bifurcations; Heteroclinic orbits.;
    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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