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Finding numerical results to large scale economic models using path-following algorithms: a vintage capital example

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Abstract

This paper describes the numerical optimization methods used in Berger (2001) to find the complete time paths of key economic variables in neoclassical vintage capital models. An interior and a non-interior point method are discussed. Both of the methods are part of the general class of \"path-following\" algorithms. These algorithms can be efficiently applied to convex programming problems; and due to the standard shape of production and utility functions, many economic problems can be written as convex programming problems. Vintage capital models add scale and complexity to standard growth models because one must now handle the dynamics of multiple capital stocks. This increase in complexity will often prevent the discovery (or existence) of closed form solutions, making numerical solutions of the type found in Berger (2001) necessary.

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  • Brett D. Berger, 2002. "Finding numerical results to large scale economic models using path-following algorithms: a vintage capital example," International Finance Discussion Papers 728, Board of Governors of the Federal Reserve System (U.S.).
    • Handle: RePEc:fip:fedgif:728
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    1. Robert M. Solow, 1956. "A Contribution to the Theory of Economic Growth," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 70(1), pages 65-94.
    2. Edmund S. Phelps, 1962. "The New View of Investment: A Neoclassical Analysis," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 76(4), pages 548-567.
    3. R. M. Solow & J. Tobin & C. C. Weizsäcker & M. Yaari, 1971. "Neoclassical Growth with Fixed Factor Proportions," Palgrave Macmillan Books, in: F. H. Hahn (ed.), Readings in the Theory of Growth, chapter 9, pages 68-102, Palgrave Macmillan.
    4. Greenwood, Jeremy & Hercowitz, Zvi & Krusell, Per, 1997. "Long-Run Implications of Investment-Specific Technological Change," American Economic Review, American Economic Association, vol. 87(3), pages 342-362, June.
    5. Brett D. Berger, 2001. "Convergence in neoclassical vintage capital growth models," International Finance Discussion Papers 713, Board of Governors of the Federal Reserve System (U.S.).
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    Econometric models; Capital;

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