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The Fisher/Cobb-Douglas Paradox, Factor Shares, and Cointegration

  • Robert S. Chirinko
  • Debdulal Mallick

This note uses insights from cointegration analysis to reexamine two separate but related issues concerning the estimation of production function parameters. Fisher (1971) documented a paradox in estimating substitution elasticities -- the puzzling divorce between the technology underlying his simulated data and the technology estimated from these data. This note both resolves the Paradox and, based on this resolution, raises important questions about estimation strategies (pioneered by Caballero, 1994) that rely on cointegration to recover production function parameters.

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File URL: http://www.cesifo-group.de/portal/page/portal/DocBase_Content/WP/WP-CESifo_Working_Papers/wp-cesifo-2007/wp-cesifo-2007-05/cesifo1_wp1998.pdf
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Paper provided by CESifo Group Munich in its series CESifo Working Paper Series with number 1998.

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Date of creation: 2007
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Handle: RePEc:ces:ceswps:_1998
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  1. Eicher, Theo S & Turnovsky, Stephen J, 1999. "Non-scale Models of Economic Growth," Economic Journal, Royal Economic Society, vol. 109(457), pages 394-415, July.
  2. Jesus Felipe & Carsten Holz, 2001. "Why do Aggregate Production Functions Work? Fisher's simulations, Shaikh's identity and some new results," International Review of Applied Economics, Taylor & Francis Journals, vol. 15(3), pages 261-285.
  3. Daron Acemoglu, 2003. "Labor- And Capital-Augmenting Technical Change," Journal of the European Economic Association, MIT Press, vol. 1(1), pages 1-37, 03.
  4. Caballero, Ricardo J, 1994. "Small Sample Bias and Adjustment Costs," The Review of Economics and Statistics, MIT Press, vol. 76(1), pages 52-58, February.
  5. Ricardo J. Caballero, 1997. "Aggregate Investment," NBER Working Papers 6264, National Bureau of Economic Research, Inc.
  6. Shaikh, Anwar, 1974. "Laws of Production and Laws of Algebra: The Humbug Production Function," The Review of Economics and Statistics, MIT Press, vol. 56(1), pages 115-20, February.
  7. Blough, Stephen R, 1992. "The Relationship between Power and Level for Generic Unit Root Tests in Finite Samples," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 7(3), pages 295-308, July-Sept.
  8. Carmichael, Jeffrey & Stebbing, Peter W, 1983. "Fisher's Paradox and the Theory of Interest," American Economic Review, American Economic Association, vol. 73(4), pages 619-30, September.
  9. Robert G. King & Sergio T. Rebelo, 2000. "Resuscitating Real Business Cycles," RCER Working Papers 467, University of Rochester - Center for Economic Research (RCER).
  10. Solow, Robert M, 1974. "Law of Production and Laws of Algebra: The Humbug Production Function: A Comment," The Review of Economics and Statistics, MIT Press, vol. 56(1), pages 121, February.
  11. Ricardo J. Caballero & Eduardo M. R. A. Engel & John C. Haltiwanger, 1995. "Plant-Level Adjustment and Aggregate Investment Dynamics," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 26(2), pages 1-54.
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