The Shape of Production Functions and the Direction of Technical Change

Charles Jones

The Quarterly Journal of Economics, 2005, vol. 120, issue 2, 517-549

Abstract: This pai>er views the standard production function in macroeconomics as a reduced form and derives its properties from microfoundations. The shape of this production function is governed by the distribution of ideas. If that distribution is Pareto, then two results obtain: the global production function is Cobb-Douglas, and technical change in the long run is labor-augmenting. Kortum showed that Pareto distributions are necessary if search-based idea models are to exhibit steady-state growth. Here we show that this same assumption delivers the additional results about the shape of the production function and the direction of technical change.

Date: 2005
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