Transition Dynamics in Endogenous Recombinant Growth Models by Means of Projection Methods
This paper provides a step further in the computation of the transition path of a continuous time endogenous growth model discussed by Privileggi (2010) â€“ based on the setting first introduced by Tsur and Zemel (2007) â€“ in which knowledge evolves according to the Weitzman (1998) recombinant process. A projection method, based on the least squares of the residual function corresponding to the ODE defining the optimal policy of the 'detrended' model, allows for the numeric approximation of such policy for a positive Lebesgue measure range of values of the efficiency parameter characterizing the probability function of the recombinant process. Although the projection method's performance rapidly degenerates as one departs from a benchmark value for the efficiency parameter, we are able to numerically compute time-path trajectories which are sufficiently regular to allow for sensitivity analysis under changes in parameters' values.
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Volume (Year): 38 (2011)
Issue (Month): 3 (October)
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- Martin L. Weitzman, 1998.
The Quarterly Journal of Economics,
MIT Press, vol. 113(2), pages 331-360, May.
- Martin L. Weitzman, 1995. "Recombinant Growth," Harvard Institute of Economic Research Working Papers 1722, Harvard - Institute of Economic Research.
- Weitzman, Martin L., 1998. "Recombinant Growth," Scholarly Articles 3708468, Harvard University Department of Economics.
- Tsur, Yacov & Zemel, Amos, 2007. "Towards endogenous recombinant growth," Journal of Economic Dynamics and Control, Elsevier, vol. 31(11), pages 3459-3477, November.
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- de la Grandville,Olivier, 2009. "Economic Growth," Cambridge Books, Cambridge University Press, number 9780521725200, October.
- Ellen R. McGrattan, 1998. "Application of weighted residual methods to dynamic economic models," Staff Report 232, Federal Reserve Bank of Minneapolis.
- Privileggi, Fabio, 2008. "On the transition dynamics in endogenous recombinant growth models," POLIS Working Papers 120, Institute of Public Policy and Public Choice - POLIS.
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