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6:58
Study.com
Ronald Price
Cobb-Douglas Production Function | Formula, Equation & Example
Learn the definition of a production function in economics, understand the definition of a Cobb-Douglas production function and its formula, and explore some examples of Cobb-Douglas production function.
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An economy has a Cobb-Douglas production function of the form: Y=F(K ,L )=AK^α L^(1−α) Y denotes output, K describes the capital stock, L denotes labour force, A is total factor productivity (TFP) and α is the output elasticity of capital. The capital stock evolves according to:Kt − Kt−1 = sYt−1 − δKt−1,where s is the exogenous savings rate, sYt equals investment and δ is the depreciation rate.
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Suppose now that the two agents have different wealths, but identical Cobb-Douglas utility functions, ui(G, xi)=G^α xi^1-α, How big does the wealth difference between agent 1 and 2 have to be for agent 2 to contribute zero in equilibrium? | Numerade
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Suppose that the production function is Cobb-Douglas. (a) Find expressions for k^*, y^*, and c^* as functions of the parameters of the model, s, n, δ, g, and α(b) What is the golden-rule value of k ? (c) What saving rate is needed to yield the golden-rule capital stock? | Numerade
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