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Some Properties of the Solution of the Ramsey Model

Author

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  • Ioana VIAŞU

    (Faculty of Economics and Business Administration, West University of Timisoara, Romania)

Abstract

The main aim of this paper is to improve some results obtained by Smith. We provide here a closed-form solution for the Ramsey model. We prove that if the inverse of the constant elasticity of intertemporal substitution is different to the elasticity of output with respect to physical capital, then the economy described by this model reaches the unique steady-state equilibrium, for any starting values of per-capita consumption. The advantage of the paper over the existing paper is that the arguments here are not local, that is, our hypotheses are most generally possible. Consequently, we can obtain almost all other results as particular cases of our solution. Our approach clarifies why different starting values of per-capita consumption generates the same steady-state equilibrium, but of different periods of time. We also clarifiy some of previous result obtained by other authors as for example Luca Guerrini.

Suggested Citation

  • Ioana VIAŞU, 2014. "Some Properties of the Solution of the Ramsey Model," Timisoara Journal of Economics and Business, West University of Timisoara, Romania, Faculty of Economics and Business Administration, vol. 7(2), pages 113-122, December.
    • Handle: RePEc:wun:timjeb:tjeb:v07:y2014:i02:a01
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    References listed on IDEAS

    as
    1. David Cass, 1965. "Optimum Growth in an Aggregative Model of Capital Accumulation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 32(3), pages 233-240.
    2. Mehlum Halvor, 2005. "A Closed Form Ramsey Saddle Path," The B.E. Journal of Macroeconomics, De Gruyter, vol. 5(1), pages 1-15, April.
    3. Smith William T, 2006. "A Closed Form Solution to the Ramsey Model," The B.E. Journal of Macroeconomics, De Gruyter, vol. 6(1), pages 1-27, January.
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    More about this item

    Keywords

    Ramsey growth model; Hamiltonian function; uniqueness and indeterminacy.;
    All these keywords.

    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
    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models

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