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Non-smooth Dynamics and Multiple Equilibria in a Cournot-Ramsey Model with Endogenous Markups

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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. We study the non-smooth dynamics and analyze the global dynamics of the model, demonstrating the model exhibits robust heteroclinic orbits, either of the smooth or the non-smooth type. Similar economies may be in any of these regimes and they may change regime along its convergence path. Productivity, fixed costs and elasticities of demand, play a crucial role and changing their values may induce a discontinuous transition or hysteresis.

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  • Brito, Paulo & Costa, Luís F. & Dixon, Huw David, 2008. "Non-smooth Dynamics and Multiple Equilibria in a Cournot-Ramsey Model with Endogenous Markups," Cardiff Economics Working Papers E2008/21, Cardiff University, Cardiff Business School, Economics Section, revised Jul 2010.
  • Handle: RePEc:cdf:wpaper:2008/21
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    1. 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.

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    Keywords

    endogenous mark-ups; non-smooth dynamics; discontinuous induced bifurcations; heteroclinic orbits;

    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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