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A NOte on the Importance of Testing for Regularities for Estimated Flexible Functional Forms


  • Salvanes, K.G.
  • Tjotta, S.


In empirical productivity analysis it has become customary to use flexible functional forms to represent a firm's production technology by estimating cost functions. In this note we suggest a procedure to calculate the region where an estimated translog cost function meet the required regularities (positive cost, positive marginal cost, homogeneous, monotonicity and concavity in input prices). We calculate this region for the US Bell cost function as reported by Evans and Heckman (1984, 1986), and show that the estimated cost function had negative marginal cost in most of the test region.

Suggested Citation

  • Salvanes, K.G. & Tjotta, S., 1998. "A NOte on the Importance of Testing for Regularities for Estimated Flexible Functional Forms," Norway; Department of Economics, University of Bergen 177, Department of Economics, University of Bergen.
  • Handle: RePEc:fth:bereco:177

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    References listed on IDEAS

    1. B. Douglas Bernheim & Michael D. Whinston, 1998. "Exclusive Dealing," Journal of Political Economy, University of Chicago Press, vol. 106(1), pages 64-103, February.
    2. Rey, Patrick & Stiglitz, Joseph, 1988. "Vertical restraints and producers' competition," European Economic Review, Elsevier, vol. 32(2-3), pages 561-568, March.
    3. Bonanno, Giacomo & Vickers, John, 1988. "Vertical Separation," Journal of Industrial Economics, Wiley Blackwell, vol. 36(3), pages 257-265, March.
    4. Lal, Rajiv & Matutes, Carmen, 1994. "Retail Pricing and Advertising Strategies," The Journal of Business, University of Chicago Press, vol. 67(3), pages 345-370, July.
    5. Gabrielsen, T.S. & Sorgard, L., 1997. "Vertical Restraints in the European Automobile Industry," Papers 13/97, Norwegian School of Economics and Business Administration-.
    6. Walter Y. Oi, 1971. "A Disneyland Dilemma: Two-Part Tariffs for a Mickey Mouse Monopoly," The Quarterly Journal of Economics, Oxford University Press, vol. 85(1), pages 77-96.
    7. Mathewson, G Frank & Winter, Ralph A, 1987. "The Competitive Effects of Vertical Agreements: Comment," American Economic Review, American Economic Association, vol. 77(5), pages 1057-1062, December.
    8. Gal-Or, Esther, 1991. "Duopolistic vertical restraints," European Economic Review, Elsevier, vol. 35(6), pages 1237-1253, August.
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    Cited by:

    1. Sverre Kittelsen & Benny Winsnes & Kjartan Anthun & Fanny Goude & Øyvind Hope & Unto Häkkinen & Birgitte Kalseth & Jannie Kilsmark & Emma Medin & Clas Rehnberg & Hanna Rättö, 2015. "Decomposing the productivity differences between hospitals in the Nordic countries," Journal of Productivity Analysis, Springer, vol. 43(3), pages 281-293, June.
    2. Hendrik Wolff & Thomas Heckelei & Ron Mittelhammer, 2010. "Imposing Curvature and Monotonicity on Flexible Functional Forms: An Efficient Regional Approach," Computational Economics, Springer;Society for Computational Economics, vol. 36(4), pages 309-339, December.
    3. Stephen Law & James Nolan, 2002. "Measuring the Impact of Regulation: A Study of Canadian Basic Cable Television," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 21(3), pages 231-249, November.
    4. Sauer, J.F., 2005. "“Efficiency Flooding”: Black-Box Frontiers and Policy Implications," International Journal of Applied Econometrics and Quantitative Studies, Euro-American Association of Economic Development, vol. 2(1), pages 17-52.
    5. Kjersti-Gro Lindquist & Terje Skjerpen, 2000. "Explaining the change in skill structure of labour demand in Norwegian manufacturing," Discussion Papers 293, Statistics Norway, Research Department.
    6. Carlo Perroni, 1999. "A Flexible, Globally Regular Representation of Convex Production Possibilities Frontiers," Journal of Productivity Analysis, Springer, vol. 12(2), pages 153-159, September.
    7. C. Charles Okeahalam, 2006. "Production Efficiency in the South African Banking Sector: A Stochastic Analysis," International Review of Applied Economics, Taylor & Francis Journals, vol. 20(1), pages 103-123.

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    JEL classification:

    • D24 - Microeconomics - - Production and Organizations - - - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity


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