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Imposing and testing curvature conditions on a Box–Cox cost function

Author

Listed:
  • Bertrand Koebel

    (BETA - Bureau d'Économie Théorique et Appliquée - INRA - Institut National de la Recherche Agronomique - UNISTRA - Université de Strasbourg - UL - Université de Lorraine - CNRS - Centre National de la Recherche Scientifique)

  • Martin Falk

    (Centre for European Economic Research (Mannheim, Germany) - Zentrum für Europäische Wirtschaftsforschung (ZEW) - Universität Mannheim)

  • Francois Laisney

    (BETA - Bureau d'Économie Théorique et Appliquée - INRA - Institut National de la Recherche Agronomique - UNISTRA - Université de Strasbourg - UL - Université de Lorraine - CNRS - Centre National de la Recherche Scientifique)

Abstract

We present a new method for imposing and testing concavity of cost functions using asymptotic least squares, which can be easily implemented even for nonlinear cost functions. We provide an illustration for a (generalized) Box-Cox cost function with six inputs: capital, labor disaggregated in three skill levels, energy, and intermediate materials. We present a parametric concavity test and compare price elasticities when curvature conditions are imposed versus when they are not. Although concavity is statistically rejected, estimates are not very sensitive to its imposition. We find stronger substitution between the different type of labor than between any other two inputs.

Suggested Citation

  • Bertrand Koebel & Martin Falk & Francois Laisney, 2003. "Imposing and testing curvature conditions on a Box–Cox cost function," Post-Print hal-03336129, HAL.
    • Handle: RePEc:hal:journl:hal-03336129
    DOI: 10.1198/073500103288618981
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    Cited by:

    1. Falk, Martin & Koebel, Bertrand M., 2000. "Outsourcing of services, imported materials and the demand for heterogeneous labour : an application of a generalised box-cox function," ZEW Discussion Papers 00-51, ZEW - Leibniz Centre for European Economic Research.
    2. Klaus Conrad & Andreas Löschel, 2005. "Recycling of Eco-Taxes, Labor Market Effects and the True Cost of Labor- a CGE Analysis," Journal of Applied Economics, Taylor & Francis Journals, vol. 8(2), pages 259-278, November.
    3. Lichter, Andreas & Peichl, Andreas & Siegloch, Sebastian, 2015. "The own-wage elasticity of labor demand: A meta-regression analysis," European Economic Review, Elsevier, vol. 80(C), pages 94-119.
    4. Falk, Martin & Koebel, Bertrand M., 2004. "The impact of office machinery, and computer capital on the demand for heterogeneous labour," Labour Economics, Elsevier, vol. 11(1), pages 99-117, February.
    5. Andreas Lichter & Andreas Peichl & Sebastian Siegloch, 2017. "Exporting and labour demand: Micro-level evidence from Germany," Canadian Journal of Economics, Canadian Economics Association, vol. 50(4), pages 1161-1189, November.
    6. Barbara Hutniczak, 2014. "Increasing Pressure on Unregulated Species Due to Changes in Individual Vessel Quotas: An Empirical Application to Trawler Fishing in the Baltic Sea," Marine Resource Economics, University of Chicago Press, vol. 29(3), pages 201-217.
    7. Mulwa, Richard & Kabubo-Mariara, Jane, 2017. "Productive Efficiency and Its Determinants in a Changing Climate: A Monotonic Translog Stochastic Frontier Analysis," EfD Discussion Paper 17-6, Environment for Development, University of Gothenburg.
    8. Francesco de Palma & Thomas Seegmuller, 2005. "Dual Labor Market and Endogenous Fluctuations," Post-Print halshs-00194165, HAL.
    9. De Palma, Francesco & Seegmuller, Thomas, 2005. "Dual Labor Market And Endogenous Fluctuations," Macroeconomic Dynamics, Cambridge University Press, vol. 9(3), pages 398-411, June.
    10. Arne Henningsen & Christian Henning, 2009. "Imposing regional monotonicity on translog stochastic production frontiers with a simple three-step procedure," Journal of Productivity Analysis, Springer, vol. 32(3), pages 217-229, December.
    11. Henning, Christian H.C.A. & Henningsen, Arne, 2005. "Modeling Price Response of Farm Households Under Imperfect Labor Markets: A Farm Household Approach to Family Farms in Poland," 94th Seminar, April 9-10, 2005, Ashford, UK 24431, European Association of Agricultural Economists.
    12. Le-Yu Chen & Jerzy Szroeter, 2009. "Hypothesis testing of multiple inequalities: the method of constraint chaining," CeMMAP working papers 13/09, Institute for Fiscal Studies.
    13. Henningsen, Arne & Glauben, Thomas & Henning, Christian H.C.A., 2003. "Farm Household Decisions Under Various Tax Policies: Comparative Static Results And Evidence From Household Data," 2003 Annual Meeting, August 16-22, 2003, Durban, South Africa 25889, International Association of Agricultural Economists.
    14. Cox, Michael & Peichl, Andreas & Pestel, Nico & Siegloch, Sebastian, 2014. "Labor demand effects of rising electricity prices: Evidence for Germany," Energy Policy, Elsevier, vol. 75(C), pages 266-277.
    15. Xi Chen & Bertrand M. Koebel, 2017. "Fixed Cost, Variable Cost, Markups and Returns to Scale," Annals of Economics and Statistics, GENES, issue 127, pages 61-94.
    16. Chen, Qiu & Mirzabaev, Alisher, 2016. "Evaluating the Impacts of Traditional Biomass Energy Use on Agricultural Production in Sichuan, China," Discussion Papers 250213, University of Bonn, Center for Development Research (ZEF).
    17. Koebel, Bertrand M., 2004. "First-order serial correlation in seemingly unrelated regressions," Economics Letters, Elsevier, vol. 82(1), pages 1-7, January.
    18. Barbara Hutniczak & Niels Vestergaard & Dale Squires, 2019. "Policy Change Anticipation in the Buyback Context," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 73(1), pages 111-132, May.
    19. Valeria Cosmo, 2013. "Ownership, Scale Economies and Efficiency in the Italian Water Sector," Journal of Industry, Competition and Trade, Springer, vol. 13(3), pages 399-415, September.
    20. Fitzenberger, Bernd & Kohn, Karsten, 2006. "Skill Wage Premia, Employment, and Cohort Effects: Are Workers in Germany All of the Same Type?," IZA Discussion Papers 2185, Institute of Labor Economics (IZA).
    21. Sansi Yang & C Richard Shumway, 2018. "Asset fixity under state-contingent production uncertainty," European Review of Agricultural Economics, Oxford University Press and the European Agricultural and Applied Economics Publications Foundation, vol. 45(5), pages 831-856.

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