The authors analyze the problem of optimal development strategies in a labor-surplus economy, where manufacturing production is subject to a convex-concave production function. Our contribution is to provide a rigorous proof of the existence of a critical value of capital such that industrialization is optimal if the initial stock of capital is above the critical value, whereas nonindustrialization is optimal if the initial capital stock is below the critical value.
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References
1.
ArrowK, 1968, “Application of control theory to economic growth” in Mathematics of the Decision Sciences, Part 2 Eds DantigG BVeinottA F (American Mathematical Society, Providence, RI).
2.
CassD, 1965, “Optimum growth in an aggregative model of capital accumulation”Review of Economic Studies32233–240.
3.
ClarkC W, 1971, “Economically optimal policies for the utilization of biologically renewable resources”Mathematical Biosciences17245–268.
4.
KoopmansT C, 1965, “On the concept of optimal economic growth” in The Econometric Approach to Development Planning (Pontificiae Academice Scientiarum Scriptum Varia, Amsterdam).
5.
MajumdarKMitraT, 1982, “Intertemporal allocation with a non-convex technology: The aggregative framework”Journal of Economic Theory27101–136.
6.
PaelinckJ H P, 1979, “Interactive groups with related limited efficiency”Environment and Planning A111179–1187.
7.
SkibaA, 1978, “Optimal growth with a convex-concave production function”Econometrica46527–540.
8.
WeitzmanM, 1976, “On the welfare significance of national product in a dynamic economy”Quarterly Journal of Economics90156–162.