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Tangency Capacity Notions Based upon the Profit and Cost Functions: A Non-Parametric Approach and a General Comparison

Author

Listed:
  • Briec, Walter

    (University of Perpignan, F-66000 Perpignan, France)

  • Kerstens, Kristiaan

    (IESEG School of Management, F-59000 Lille, France)

  • Prior, Diego

    (Universitat Aut`onoma de Barcelona, E-08193 Bellaterra, Spain)

  • Van de Woestyne, Ignace

    (Hogeschool-Universiteit Brussel (HUB), Belgium)

Abstract

This contribution provides a way to define and compute a tangency notion of economic capacity based upon the relation between the various directional distance functions and the profit and cost functions using non-parametric technologies. A new result relating profit and cost function-based tangency capacity notions is established.

Suggested Citation

  • Briec, Walter & Kerstens, Kristiaan & Prior, Diego & Van de Woestyne, Ignace, 2010. "Tangency Capacity Notions Based upon the Profit and Cost Functions: A Non-Parametric Approach and a General Comparison," Working Papers 2010/04, Hogeschool-Universiteit Brussel, Faculteit Economie en Management.
    • Handle: RePEc:hub:wpecon:201004
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    References listed on IDEAS

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    1. McFadden, Daniel, 1978. "Cost, Revenue, and Profit Functions," Histoy of Economic Thought Chapters, in: Fuss, Melvyn & McFadden, Daniel (ed.),Production Economics: A Dual Approach to Theory and Applications, volume 1, chapter 1, McMaster University Archive for the History of Economic Thought.
    2. Léopold Simar & Paul Wilson, 2000. "Statistical Inference in Nonparametric Frontier Models: The State of the Art," Journal of Productivity Analysis, Springer, vol. 13(1), pages 49-78, January.
    3. Coelli, Tim & Grifell-Tatje, Emili & Perelman, Sergio, 2002. "Capacity utilisation and profitability: A decomposition of short-run profit efficiency," International Journal of Production Economics, Elsevier, vol. 79(3), pages 261-278, October.
    4. Szenberg, Michael & Ramrattan, Lall & Gottesman, Aron A. (ed.), 2006. "Samuelsonian Economics and the Twenty-First Century," OUP Catalogue, Oxford University Press, number 9780199298839.
    5. Fuss, Melvyn & McFadden, Daniel, 1978. "Production Economics: A Dual Approach to Theory and Applications (II): Applications of the Theory of Production," History of Economic Thought Books, McMaster University Archive for the History of Economic Thought, volume 2, number fuss1978a.
    6. Scott E. Atkinson & Jeffrey H. Dorfman, 2009. "Feasible estimation of firm-specific allocative inefficiency through Bayesian numerical methods," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 24(4), pages 675-697.
    7. Paul Nightingale & Tim Brady & Andrew Davies & Jeremy Hall, 2003. "Capacity utilization revisited: software, control and the growth of large technical systems," Industrial and Corporate Change, Oxford University Press and the Associazione ICC, vol. 12(3), pages 477-517, June.
    8. Ray,Subhash C., 2012. "Data Envelopment Analysis," Cambridge Books, Cambridge University Press, number 9781107405264.
    9. John B. Walden & James E. Kirkley & Andrew W. Kitts, 2003. "A Limited Economic Assessment of the Northeast Groundfish Fishery Buyout Program," Land Economics, University of Wisconsin Press, vol. 79(3), pages 426-439.
    10. W. Briec, 1997. "A Graph-Type Extension of Farrell Technical Efficiency Measure," Journal of Productivity Analysis, Springer, vol. 8(1), pages 95-110, March.
    11. Dale Squires, 1987. "Long-Run Profit Functions for Multiproduct Firms," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 69(3), pages 558-569.
    12. Stéphane Blancard & Jean-Philippe Boussemart & Walter Briec & Kristiaan Kerstens, 2006. "Short- and Long-Run Credit Constraints in French Agriculture: A Directional Distance Function Framework Using Expenditure-Constrained Profit Functions," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 88(2), pages 351-364.
    13. Nelson, Randy A, 1989. "On the Measurement of Capacity Utilization," Journal of Industrial Economics, Wiley Blackwell, vol. 37(3), pages 273-286, March.
    14. Jean-Paul Chavas & Kwansoo Kim, 2007. "Measurement and Sources of Economies of Scope: A Primal Approach," Journal of Institutional and Theoretical Economics (JITE), Mohr Siebeck, Tübingen, vol. 163(3), pages 411-427, September.
    15. Maarit Kallio & Markku Kallio, 2002. "Nonparametric Methods for Evaluating Economic Efficiency and Imperfect Competition," Journal of Productivity Analysis, Springer, vol. 18(2), pages 171-189, September.
    16. Fare, Rolf & Grosskopf, Shawna & Kokkelenberg, Edward C, 1989. "Measuring Plant Capacity, Utilization and Technical Change: A Nonparametric Approach," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 30(3), pages 655-666, August.
    17. R. G. Chambers & Y. Chung & R. Färe, 1998. "Profit, Directional Distance Functions, and Nerlovian Efficiency," Journal of Optimization Theory and Applications, Springer, vol. 98(2), pages 351-364, August.
    18. Berndt, Ernst R. & Fuss, Melvyn A., 1986. "Productivity measurement with adjustments for variations in capacity utilization and other forms of temporary equilibrium," Journal of Econometrics, Elsevier, vol. 33(1-2), pages 7-29.
    19. Prior, Diego, 2003. "Long- and short-run non-parametric cost frontier efficiency: An application to Spanish savings banks," Journal of Banking & Finance, Elsevier, vol. 27(4), pages 655-671, April.
    20. Segerson, Kathleen & Squires, Dale, 1990. "On the measurement of economic capacity utilization for multi-product industries," Journal of Econometrics, Elsevier, vol. 44(3), pages 347-361, June.
    21. Holland, D. S. & Lee, S. T., 2002. "Impacts of random noise and specification on estimates of capacity derived from data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 137(1), pages 10-21, February.
    22. Fuss, Melvyn & McFadden, Daniel (ed.), 1978. "Production Economics: A Dual Approach to Theory and Applications," Elsevier Monographs, Elsevier, edition 1, number 9780444850133.
    23. Ana Rodríguez‐Álvarez & C. A. Knox Lovell, 2004. "Excess capacity and expense preference behaviour in National Health Systems: an application to the Spanish public hospitals," Health Economics, John Wiley & Sons, Ltd., vol. 13(2), pages 157-169, February.
    24. Segerson, Kathleen & Squires, Dale, 1995. "Measurement of Capacity Utilization for Revenue-Maximizing Firms," Bulletin of Economic Research, Wiley Blackwell, vol. 47(1), pages 77-84, January.
    25. Subhash C. Ray & Kankana Mukherjee & Yanna Wu, 2006. "Direct And Indirect Measures Of Capacity Utilization: A Non‐Parametric Analysis Of Us Manufacturing," Manchester School, University of Manchester, vol. 74(4), pages 526-548, July.
    26. Milgrom, Paul & Roberts, John, 1996. "The LeChatelier Principle," American Economic Review, American Economic Association, vol. 86(1), pages 173-179, March.
    27. John W. Chinneck, 2008. "Feasibility and Infeasibility in Optimization," International Series in Operations Research and Management Science, Springer, number 978-0-387-74932-7, April.
    28. J. M. Cassels, 1937. "Excess Capacity and Monopolistic Competition," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 51(3), pages 426-443.
    29. Fuss, Melvyn & McFadden, Daniel, 1978. "Production Economics: A Dual Approach to Theory and Applications (I): The Theory of Production," History of Economic Thought Books, McMaster University Archive for the History of Economic Thought, volume 1, number fuss1978.
    30. Jan A. Van Mieghem, 2003. "Commissioned Paper: Capacity Management, Investment, and Hedging: Review and Recent Developments," Manufacturing & Service Operations Management, INFORMS, vol. 5(4), pages 269-302, July.
    31. Lawrence J. Christiano, 1981. "A Survey of Measures of Capacity Utilization (Mesures de l'utilisation des capacités de production) (Estudio de mediciones de utilización de la capacidad)," IMF Staff Papers, Palgrave Macmillan, vol. 28(1), pages 144-198, March.
    32. Chambers, Robert G. & Chung, Yangho & Fare, Rolf, 1996. "Benefit and Distance Functions," Journal of Economic Theory, Elsevier, vol. 70(2), pages 407-419, August.
    33. Lawrence R. Klein, 1958. "The Measurement of Capacity," Cowles Foundation Discussion Papers 49, Cowles Foundation for Research in Economics, Yale University.
    34. Ciaran Driver, 2000. "Capacity Utilisation and Excess Capacity: Theory, Evidence, and Policy," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 16(1), pages 69-87, February.
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    Cited by:

    1. Giovanni Cesaroni & Kristiaan Kerstens & Ignace Van de Woestyne, 2017. "A New Input-Oriented Plant Capacity Notion: Definition and Empirical Comparison," Pacific Economic Review, Wiley Blackwell, vol. 22(4), pages 720-739, October.
    2. Bruno De Borger & Kristiaan Kerstens & Diego Prior & Ignace Van de Woestyne, 2013. "Static efficiency decompositions and capacity utilization: integrating economic and technical capacity notions," Applied Economics, Taylor & Francis Journals, vol. 45(24), pages 3529-3529, August.
    3. De Borger, Bruno & Kerstens, Kristiaan & Prior, Diego & Van de Woestyne, Ignace, 2009. "Static Efficiency Decompositions and Capacity Utilisation: Integrating Economic and Technical Capacity Notions. Technical Appendix," Working Papers 2009/31, Hogeschool-Universiteit Brussel, Faculteit Economie en Management.
    4. Dale Squires & Kathleen Segerson, 2022. "Capacity and Capacity Utilization in Production Economics," Springer Books, in: Subhash C. Ray & Robert G. Chambers & Subal C. Kumbhakar (ed.), Handbook of Production Economics, chapter 24, pages 1001-1037, Springer.
    5. Kerstens, Kristiaan & Sadeghi, Jafar & Van de Woestyne, Ignace, 2019. "Convex and nonconvex input-oriented technical and economic capacity measures: An empirical comparison," European Journal of Operational Research, Elsevier, vol. 276(2), pages 699-709.

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    More about this item

    Keywords

    economic capacity; profit function; cost function; directional distance function; tangency;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • D24 - Microeconomics - - Production and Organizations - - - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity

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