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A geometric characterization of VES and Kadiyala-type production functions

Author

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  • Nicol`o Cangiotti
  • Mattia Sensi
Abstract
The basic concepts of the differential geometry are shortly reviewed and applied to the study of VES production function in the spirit of the works of V\^ilcu and collaborators. A similar characterization is given for a more general production function, namely the Kadiyala production function, in the case of developable surfaces.

Suggested Citation

  • Nicol`o Cangiotti & Mattia Sensi, 2020. "A geometric characterization of VES and Kadiyala-type production functions," Papers 2004.09617, arXiv.org.
    • Handle: RePEc:arx:papers:2004.09617
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    References listed on IDEAS

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    1. Catalin Angelo Ioan & Gina Ioan, 2011. "A generalization of a class of production functions," Applied Economics Letters, Taylor & Francis Journals, vol. 18(18), pages 1777-1784, December.
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    4. Douglas, Paul H, 1976. "The Cobb-Douglas Production Function Once Again: Its History, Its Testing, and Some New Empirical Values," Journal of Political Economy, University of Chicago Press, vol. 84(5), pages 903-915, October.
    5. C. A. Knox Lovell, 1968. "Capacity Utilization and Production Function Estimation in Postwar American Manufacturing," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 82(2), pages 219-239.
    6. Revankar, Nagesh S, 1971. "A Class of Variable Elasticity of Substitution Production Functions," Econometrica, Econometric Society, vol. 39(1), pages 61-71, January.
    7. Thomas M. Humphrey, 1997. "Algebraic production functions and their uses before Cobb-Douglas," Economic Quarterly, Federal Reserve Bank of Richmond, issue Win, pages 51-83.
    8. Xiaoshu Wang & Yu Fu, 2013. "Some Characterizations of the Cobb-Douglas and CES Production Functions in Microeconomics," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-6, December.
    9. Lovell, C A Knox, 1973. "Estimation and Prediction with CES and VES Production Functions," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 14(3), pages 676-692, October.
    10. Labini, Paolo Sylos, 1995. "Why the interpretation of the Cobb-Douglas production function must be radically changed," Structural Change and Economic Dynamics, Elsevier, vol. 6(4), pages 485-504, December.
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