A new class of production functions and an argument against purely labor-augmenting technical change
AbstractThis paper follows Jones (2005) in his approach to deriving the global production function from microfoundations. His framework is generalized by allowing for dependence between the Pareto distributions of labor- and capital-augmenting developments. Using the Clayton copula family to capture this dependence, we derive a 'Clayton-Pareto' class of production functions that nests both the Cobb-Douglas and the CES. Embedding the resultant production function in a neoclassical growth framework, we draw conclusions for the long-run direction of technical change. Jones' result of Cobb-Douglas global production functions and purely laboraugmenting technical change hinges on the assumption of independence of marginal Pareto distributions. In our more general case, the shape of local production functions matters for the shape of the global production function, and technical change augments both factors in the long run. Furthermore, the elasticity of substitution between capital and labor may exceed unity and thus yield endogenous growth.
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Bibliographic InfoArticle provided by The International Society for Economic Theory in its journal International Journal of Economic Theory.
Volume (Year): 4 (2008)
Issue (Month): 4 ()
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Web page: http://www.blackwellpublishing.com/journal.asp?ref=1742-7355
Other versions of this item:
- GROWIEC, Jakub, 2006. "A new class of production functions and an argument against purely labor-augmenting technical change," CORE Discussion Papers 2006056, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Growiec, Jakub, 2006. "A New Class of Production Functions and an Argument Against Purely Labor-Augmenting Technical Change," MPRA Paper 7069, University Library of Munich, Germany.
- E23 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Production
- O30 - Economic Development, Technological Change, and Growth - - Technological Change; Research and Development; Intellectual Property Rights - - - General
- O40 - Economic Development, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - General
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