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Entry and the accumulation of capital: A two state variable extension to the Ramsey model

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  • Paulo Brito
  • Huw Dixon

Abstract

In this paper we consider the entry and exit of firms in a dynamic general equilibrium model with capital. At the firm level, there is a fixed cost combined with increasing marginal cost, which gives a standard U‐shaped cost curve with optimal firm size. Entry is determined by a free entry condition such that the cost of entry is equal to the present value of incumbent firms. The cost of entry (exit) depends on the flow of entry (exit). Equilibrium is saddle‐point stable and the stable manifold is two‐dimensional. Transitional dynamics can, under certain circumstances, be non‐monotonic.

Suggested Citation

  • Paulo Brito & Huw Dixon, 2009. "Entry and the accumulation of capital: A two state variable extension to the Ramsey model," International Journal of Economic Theory, The International Society for Economic Theory, vol. 5(4), pages 333-357, December.
    • Handle: RePEc:bla:ijethy:v:5:y:2009:i:4:p:333-357
    DOI: 10.1111/j.1742-7363.2009.00113.x
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    Cited by:

    1. Brito, Paulo & Dixon, Huw, 2013. "Fiscal policy, entry and capital accumulation: Hump-shaped responses," Journal of Economic Dynamics and Control, Elsevier, vol. 37(10), pages 2123-2155.
    2. Elena Cefis & Cristina Bettinelli & Alex Coad & Orietta Marsili, 2022. "Understanding firm exit: a systematic literature review," Small Business Economics, Springer, vol. 59(2), pages 423-446, August.
    3. Pedro Mazeda Gil & André Almeida, & Sofia B.S.D. Castro,, 2015. "Flexible Transitional Dynamics in a Non-Scale Fully Endogenous Growth Model," CEF.UP Working Papers 1503, Universidade do Porto, Faculdade de Economia do Porto.
    4. Paulo Brito & Huw Dixon, 2009. "Entry and the accumulation of capital: A two state variable extension to the Ramsey model," International Journal of Economic Theory, The International Society for Economic Theory, vol. 5(4), pages 333-357, December.
    5. Gómez, Manuel A. & Sequeira, Tiago N., 2013. "Optimal R&D subsidies in a model with physical capital, human capital and varieties," Economic Modelling, Elsevier, vol. 30(C), pages 217-224.
    6. Pedro Gil, 2013. "Animal spirits and the composition of innovation in a lab-equipment R&D model with transition," Journal of Economics, Springer, vol. 108(1), pages 1-33, January.
    7. Pedro Rui Mazeda Gil & Paulo Brito & Óscar Afonso, 2008. "A Model of Quality Ladders with Horizontal Entry," FEP Working Papers 296, Universidade do Porto, Faculdade de Economia do Porto.
    8. 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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    More about this item

    JEL classification:

    • D92 - Microeconomics - - Micro-Based Behavioral Economics - - - Intertemporal Firm Choice, Investment, Capacity, and Financing
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models

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