Prove that the steady state is unique and globally stable

Reference no: EM131139280

Consider a modified version of the continuous-time Solow growth model where the aggregate production function is

where Z is land, available in fixed inelastic supply. Assume that α + β

(a) First suppose that there is no population growth. Find the steady-state capital-labor ratio in the steady-state output level. Prove that the steady state is unique and globally stable.

(b) Now suppose that there is population growth at the rate n, that is, L/L ? = n. What happens to the capital-labor ratio and output level as t → ∞? What happens to returns to land and the wage rate as t → ∞?

Reference no: EM131139280

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