Undiscounted Optimal Growth with Consumable Capital: Application to Water
California State University, Fullerton - Department of Economics
Ihsan Kaler Hurcan
Mitsui & Co. Europe
May 1, 2011
Journal of Applied Economics, Vol XIV, No. 1 (May 2011), 145-166
This paper utilizes the geometric techniques developed in Khan and Mitra (2005, 2007) to analyze the optimal intertemporal allocation of water resources in a dynamic setup without discounting. The framework features two sectors: the first uses labor to purify water, while the second uses labor and purified water for irrigation to produce an agricultural consumption good. Purified water can also be used as potable water for drinking purposes. The planner allocates the available factors of production between the two sectors every period, and determines the optimal amounts of purified water, potable water, and irrigation water. The geometry characterizes the optimal path depending on whether the irrigation sector is more labor intensive than the purification sector. When the irrigation sector is labor intensive, the optimal path is a non converging cycle around the golden rule stock of purified water, while if the purification sector is labor intensive, there is a damped cyclical convergence to the golden rule stock.
Keywords: water resources, overtaking criterion, golden rule stock
JEL Classification: C61, D90, Q25Accepted Paper Series
Date posted: May 21, 2012
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