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The Nested Binary CES Composite Production Function: CRTS with different (but constant) pair-wise elasticities of substitution among three factors


  • Alan A. Powell
  • Maureen T. Rimmer


The policy debate on global warming has raised the prospect of large taxes on Greenhouse pollutants leading to a very substantial rise in the price of energy. Models in which output is produced according to a technology in which capital (K), labour (L) and energy (E) are substitutable run into the difficulty of how to allow parsimoniously for the higher likely substitutability between K and E than between L and E. Nesting all three factors in a single CES aggregator function is unsatisfactory because of the constancy over pairs of factors of partial substitution elasticities. This paper is a variation on the CES theme. It presents a new composite three-input production function (based on CES and Leontief components) which allows the partial substitution elasticities between capital and labour, capital and energy, and between labour and energy, to differ but to remain individually constant.

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  • Alan A. Powell & Maureen T. Rimmer, 1998. "The Nested Binary CES Composite Production Function: CRTS with different (but constant) pair-wise elasticities of substitution among three factors," Centre of Policy Studies/IMPACT Centre Working Papers op-89, Victoria University, Centre of Policy Studies/IMPACT Centre.
  • Handle: RePEc:cop:wpaper:op-89

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    References listed on IDEAS

    1. Hanoch, Giora, 1971. "CRESH Production Functions," Econometrica, Econometric Society, vol. 39(5), pages 695-712, September.
    2. Joaquim Oliveira Martins & Jean-Marc Burniaux & John P. Martin & Giuseppe Nicoletti, 1992. "The Costs of Reducing CO2 Emissions: A Comparison of Carbon Tax Curves with GREEN," OECD Economics Department Working Papers 118, OECD Publishing.
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    JEL classification:

    • D2 - Microeconomics - - Production and Organizations
    • E1 - Macroeconomics and Monetary Economics - - General Aggregative Models


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