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Multiple Interior Steady States in the Ramsey Model with Elastic Labor Supply

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  • Takashi Kamihigashi

    (Research Institute for Economics & Business Administration (RIEB), Kobe University, Japan)

Abstract

In this paper we show that multiple interior steady states are possible in the Ramsey model with elastic labor supply. In particular we establish the following three results: (i) for any discount factor and production function, there is a utility function such that a continuum of interior steady states exist; (ii) the number of interior steady states can also be any nite number; and (iii) for any discount factor and production function, there is a utility function such that there is no interior steady state. Some numerical examples are provided.

Suggested Citation

  • Takashi Kamihigashi, 2014. "Multiple Interior Steady States in the Ramsey Model with Elastic Labor Supply," Discussion Paper Series DP2014-11, Research Institute for Economics & Business Administration, Kobe University.
  • Handle: RePEc:kob:dpaper:dp2014-11
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    File URL: http://www.rieb.kobe-u.ac.jp/academic/ra/dp/English/DP2014-11.pdf
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    References listed on IDEAS

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    Cited by:

    1. Becker, Robert A. & Borissov, Kirill & Dubey, Ram Sewak, 2015. "Ramsey equilibrium with liberal borrowing," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 296-304.
    2. repec:spr:joecth:v:65:y:2018:i:1:d:10.1007_s00199-016-1005-0 is not listed on IDEAS
    3. Takashi Kamihigashi, 2015. "Regime-Switching Sunspot Equilibria in a One-Sector Growth Model with Aggregate Decreasing Returns and Small Externalities," Discussion Paper Series DP2015-42, Research Institute for Economics & Business Administration, Kobe University.
    4. Gerhard Sorger, 2018. "Cycles and chaos in the one-sector growth model with elastic labor supply," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 65(1), pages 55-77, January.

    More about this item

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • E13 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Neoclassical
    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models

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