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Resolving Singularities in a Ramsey-type Growth Model

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Abstract

The aim of this paper is to discuss a mathematical solution procedure to solve a Ramsay-type growth model that explains the fundamentals of consumption and capital accumula-tion in a dynamic equilibrium setting. The problem is formulated as a system of recursive equations and studied through some numerical experiments for the time path of the different variables of the model under some alternative assumption for the steady-state equilibrium of the labour market conditioning the possible singularity of the model.

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References

  • Barro, R. and Sala-i-Martin, X. (1995), Growth Theory. MacGraw-Hill, New York.

    Google Scholar 

  • Blanchard, O.-J. and Fischer, S. (1989), Lectures on Macroeconomics. MIT Press, 1989.

  • Deimling, K. (1992), Multivalued Differential Equations. De Gruyter Series in Nonlinear Analysis and Applications, 1. Walter de Gruyer & Co., Berlin.

    Google Scholar 

  • Ramsey, F. (1928), A mathematical theory of saving, Economic Journal 38 (December) 543-559.

    Google Scholar 

  • Solow, R.M. (1956), A contribution to the theory of economic growth, Quarterly Journal of Economics 70: 65-94.

    Google Scholar 

  • Uhlig, H. ((1998), A toolkit for analysing nonlinear dynamic stochastic models easily, in Marimon, R. and Scott, A. (eds.), Computational Method for the Study of Dynamic Economies. Oxford University Press, London, 1998.

    Google Scholar 

  • Vich, R. (1987), Z transform Theory and Applications. Mathematics and its Applications (East European Series), 16. D. Reidel Publishing Co., Dordrecht-Boston, MA, 1987.

    Google Scholar 

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Dumont, Y., Goeleven, D., Poutineau, JC. et al. Resolving Singularities in a Ramsey-type Growth Model. Journal of Global Optimization 17, 77–95 (2000). https://doi.org/10.1023/A:1026542507848

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  • DOI: https://doi.org/10.1023/A:1026542507848

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