Harutaka, Takahshi (2012): An unbalanced two-sector growth model with constant returns:a turnpike approach.
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Recent industry-based empirical studies among countries demonstrate that individual industry's per capita capital stock and output grow at industry's own steady state growth rate. The industry growth rate is highly correlated to industry's technical progress measured by total factor productivity (TFP) of the industry, which exhibits large difference across industries as reported recently by Syverson (2011). Let us refer to this phenomenon as "unbalanced growth among industries." Very few researches concerned with this phenomenon have been done yet. Some exceptions are Echevarria (1997), Kongsamut, Rebelo and Xie (2001), and Acemoglu and Guerrieri (2008) among others. However their models and analytical methods are different from mine. Applying the theoretical method developed by McKenzie and Scheinkman in turnpike theory, I now construct a two-sector optimal growth model with an industry specific Hicks-neutral technical progress and show that each sector's per capita capital stock and output grow at the rate of the sector's technical progress (the sector’s TFP growth rate).
|Item Type:||MPRA Paper|
|Original Title:||An unbalanced two-sector growth model with constant returns:a turnpike approach|
|Keywords:||two-sector optimal growth model, turnpike theory, unbalanced growth, TFP, the Hicks-neutral technical progress|
|Subjects:||O - Economic Development, Innovation, Technological Change, and Growth > O4 - Economic Growth and Aggregate Productivity > O41 - One, Two, and Multisector Growth Models
O - Economic Development, Innovation, Technological Change, and Growth > O2 - Development Planning and Policy > O24 - Trade Policy ; Factor Movement Policy ; Foreign Exchange Policy
O - Economic Development, Innovation, Technological Change, and Growth > O2 - Development Planning and Policy > O21 - Planning Models ; Planning Policy
O - Economic Development, Innovation, Technological Change, and Growth > O1 - Economic Development > O14 - Industrialization ; Manufacturing and Service Industries ; Choice of Technology
|Depositing User:||Harutaka Takahashi|
|Date Deposited:||12. Mar 2012 13:33|
|Last Modified:||20. Feb 2013 03:39|
Acemoglu, D. and V. Guerrieri (2008) "Capital deepening and nonbalanced economic growth," Journal of Political Economy 116, 467-498.
Araujo, A. and J. Scheinkman (1977) "Smoothness, comparative dynamics, and the turnpike property, " Econometrica 45,601-620.
Benhabib, J. and K. Nishimura (1985) "Competitive equilibrium cycles," Journal of Economic Theory 35, 284-306.
Echevarria, C. (1997) "Changes in sectoral composition associated with economic growth," International Economic Review 38, 431-452.
Galor, O. (1992) "A Two-sector overlapping-generations model: A global characterization of the dynamical system,” Econometrica 60, 1351-1386.
Gantmacher, F. (1960) The Theory of Matrices vol. 1 (Chelsea, New York).
Inada, K. (1971) "The production coefficient matrix and the Stolper-Samuelson condition," Econometrica 39, 88-93.
Jones, R., S. Marjit and T. Mitra (1993) "The Stolper-Samuelson theorem: Links to dominant diagonals," in: R.
Becker, M. Boldrin, R. Jones and W. Thomson, eds., General Equilibrium, Growth and Trade II-the legacy of Lionel McKenzie (Academic Press, San Diego).
Kongsamut, P., S. Rebelo and D. Xie (2001) "Beyond balanced growth," Review of Economic Studies 68, 869-882.
Levhari, D. and N. Liviatan (1972) "On stability in the saddle-point sense," Journal of Economic Theory 4,88-93.
Lucas, R. (1988) "A Mechanics of Economic Development," Journal of Monetary Economics 22, 3-42.
McKenzie, L. (1983) "Turnpike theory, discounted utility, and the von Neumann facet," Journal of Economic Theory 30, 330-352.
McKenzie, L. (1984) "Optimal economic growth and turnpike theorems," in: K. Arrow and M. Intriligator, eds., Handbook of Mathematical Economics Vol.3, ( North-Holland, New York).
Scheinkman, J. (1976) "An optimal steady state of n-sector growth model when utility is discounted," Journal of Economic Theory 12, 11-20.
Romer, P. (1986) "Increasing Returns and Lomg-run growth," Journal of Political Economy 94, 1002-1037.
Srinivasan, T. (1964) "Optimal savings in a two-sector model of growth," Econometrica 32, 358-373.
Syverson, C. (2011) "What determines productivity?," Journal of Economic Literature 49:2, 326-365.
Takahashi, H. (1985) Characterizations of Optimal Programs in Infinite Economies, Ph.D. Dissertation, the University of Rochester.
Takahashi, H. (1992) "The von Neumann facet and a global asymptotic stability," Annals of Operations Research 37, 273-282.
Takahashi, H., K. Mashiyama, T. Sakagami (2011) "Why did Japan grow so fast during 1955-1973 and the Era of High-speed Growth end after the Oil-shock?: Measuring capital intensity in the postwar Japanese economy," forthcoming Macroeconomic Dynamics.
Uzawa, H. (1962) “On a Two-sector Model of Economic Growth,” Review of Economic Studies 14, 40-47.
Uzawa, H. (1963) “On a Two-Sector Model of Economic Growth II,” Review of Economic Studies 19, 105-118.
Uzawa, H. (1964) “Optimal Growth in a Two-Sector Model of Capital Accumulation,” Review of Economic Studies 31,1-24.
Yano, M. (1990) "Von Neumann facets and the dynamic stability of perfect foresight equilibrium paths in Neo-classical trade models," Journal of Economics 51, 27-69.