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A General Procedure to Recover the Marginal Products of a Cost Minimizing Firm

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  • Pierre Ouellette
  • Stéphane Vigeant

Abstract

Inthis paper we develop a new method, based on generalized inverse,to recover the first derivatives of the production function.This allows us to retrieve returns to scale, technological progressand, in a dynamic setting, a measure of the adjustment cost.The method is general and systematic and it applies in caseswhere the traditional method does not. It is especially relevantwhen examining dynamic models or regulated firms. Copyright Kluwer Academic Publishers 2000

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  • Pierre Ouellette & Stéphane Vigeant, 2000. "A General Procedure to Recover the Marginal Products of a Cost Minimizing Firm," Journal of Productivity Analysis, Springer, vol. 14(2), pages 143-162, September.
    • Handle: RePEc:kap:jproda:v:14:y:2000:i:2:p:143-162
    DOI: 10.1023/A:1007851024735
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    References listed on IDEAS

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    1. Murata, Yasuo, 1977. "Mathematics for Stability and Optimization of Economic Systems," Elsevier Monographs, Elsevier, edition 1, number 9780125112505 edited by Shell, Karl.
    2. Takayama,Akira, 1985. "Mathematical Economics," Cambridge Books, Cambridge University Press, number 9780521314985, October.
    3. A. B. Treadway, 1969. "On Rational Entrepreneurial Behaviour and the Demand for Investment," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 36(2), pages 227-239.
    4. Pierre Ouellette & Stéphane Vigeant, 2001. "Cost and Production Duality: The Case of the Regulated Firm," Journal of Productivity Analysis, Springer, vol. 16(3), pages 203-224, November.
    5. Pierre Lasserre & Pierre Ouellette, 1994. "Factor Demands, Cost Functions, and Technology Measurements for Regulated Firms," Canadian Journal of Economics, Canadian Economics Association, vol. 27(1), pages 218-242, February.
    6. Pierre Lasserre & Pierre Ouellette, 1999. "Dynamic Factor Demands and Technology Measurement under Arbitrary Expectations," Journal of Productivity Analysis, Springer, vol. 11(3), pages 219-241, June.
    7. Ouellette, Pierre & Petit, Patrick & Vigeant, Stéphane, 2005. "Investment and regulation: the case of Canadian air carriers," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 41(2), pages 93-113, March.
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    Cited by:

    1. Pierre Ouellette & Stéphane Vigeant, 2003. "Technological choices and regulation: the case of the Canadian manufacturing sectors," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 36(1), pages 88-125, March.
    2. Pierre Ouellette & Li Yan, 2008. "Investment and dynamic DEA," Journal of Productivity Analysis, Springer, vol. 29(3), pages 235-247, June.
    3. Pierre Ouellette & Stéphane Vigeant, 2006. "A generalized procedure to recover the first derivatives of a production function when the firm is a profit maximizer," Journal of Productivity Analysis, Springer, vol. 26(1), pages 27-33, August.

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