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Existence, Uniqueness and Stability of Equilibrium in an Overlapping Generation Model with Monopolistic Competition and Free Entry and Exit of Firms

Author

Listed:
  • Fernando del Rio

    (Universidade de Santiago de Compostela - Spain)

  • Omar Licandro

    (European University Institute, Florence, Italy)

Abstract

In this paper we have analyzed existence, uniqueness and stability of a steady-state equilibrium in an overlapping generations model with monopolistic competition and free entry and exit of firms. We establish a strenghtened Inada condition that is sufficient to exclude global contraction for any given set of well-behaved preferences. We also establish sufficient conditions for a non-trivial steady-state equilibrium to exist, and also sufficient conditions for its uniqueness and global stability. We show that the size of mark-up over marginal cost and the particular mix of fixed costs play a crucial role in these conditions and consequently on the dynamic behavior of the economy

Suggested Citation

  • Fernando del Rio & Omar Licandro, 2001. "Existence, Uniqueness and Stability of Equilibrium in an Overlapping Generation Model with Monopolistic Competition and Free Entry and Exit of Firms," Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) 2001032, Universit√© catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
  • Handle: RePEc:ctl:louvir:2001032
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    File URL: http://sites.uclouvain.be/econ/DP/IRES/2001-32.pdf
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    References listed on IDEAS

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    5. Dale T. Mortensen & Christopher A. Pissarides, 1998. "Technological Progress, Job Creation and Job Destruction," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 1(4), pages 733-753, October.
    6. Philippe Aghion & Peter Howitt, 1994. "Growth and Unemployment," Review of Economic Studies, Oxford University Press, vol. 61(3), pages 477-494.
    7. King, Ian & Welling, Linda, 1995. "Search, unemployment, and growth," Journal of Monetary Economics, Elsevier, vol. 35(3), pages 499-507, June.
    8. Ricardo J. Caballero & Mohamad L. Hammour, 1996. "On the Timing and Efficiency of Creative Destruction," The Quarterly Journal of Economics, Oxford University Press, vol. 111(3), pages 805-852.
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    More about this item

    Keywords

    Equilibrium; Existence; Monopolistic Competition; Overlapping Generations; Stability; Uniqueness;

    JEL classification:

    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • D90 - Microeconomics - - Micro-Based Behavioral Economics - - - General
    • E13 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Neoclassical
    • O40 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - General

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