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The adjustment-cost model of the firm: Duality and productive efficiency

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  • Silva, Elvira
  • Lansink, Alfons Oude
  • Stefanou, Spiro E.

Abstract

We present the theoretical foundation for an adjustment cost technology that supports the intertemporal production decision making behavior using the directional distance function. Dynamic input efficiency measures are developed that can separate out the impact of variable and dynamic factors inefficiency levels. An approach to implement this theory in a nonparametric fashion is developed and applied to an unbalanced panel of Dutch glasshouse firms. The application finds overuse of all variable inputs and overcapitalization of installations, the overall dynamic efficiency gain of 16% remains possible, with allocative inefficiencies indicating underinvestment in structures and installations. A comparison of static and dynamic efficiency measures finds that the static overall cost inefficiency is overestimated with technical inefficiency being overstated and allocative inefficiency being understated.

Suggested Citation

  • Silva, Elvira & Lansink, Alfons Oude & Stefanou, Spiro E., 2015. "The adjustment-cost model of the firm: Duality and productive efficiency," International Journal of Production Economics, Elsevier, vol. 168(C), pages 245-256.
  • Handle: RePEc:eee:proeco:v:168:y:2015:i:c:p:245-256
    DOI: 10.1016/j.ijpe.2015.06.027
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    as
    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. Treadway, Arthur B., 1970. "Adjustment costs and variable inputs in the theory of the competitive firm," Journal of Economic Theory, Elsevier, vol. 2(4), pages 329-347, December.
    3. Elvira Silva & Spiro E. Stefanou, 2007. "Dynamic Efficiency Measurement: Theory and Application," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 89(2), pages 398-419.
    4. repec:cup:cbooks:9780521603683 is not listed on IDEAS
    5. Daniel S. Hamermesh & Gerard A. Pfann, 1996. "Adjustment Costs in Factor Demand," Journal of Economic Literature, American Economic Association, vol. 34(3), pages 1264-1292, September.
    6. McLaren, Keith R & Cooper, Russel J, 1980. "Intertemporal Duality: Application to the Theory of the Firm," Econometrica, Econometric Society, vol. 48(7), pages 1755-1762, November.
    7. 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.
    8. Lin, Winston T. & Chuang, Chia-Hung & Choi, Jeong Hoon, 2010. "A partial adjustment approach to evaluating and measuring the business value of information technology," International Journal of Production Economics, Elsevier, vol. 127(1), pages 158-172, September.
    9. Chowdhury, Hedayet & Zelenyuk, Valentin & Laporte, Audrey & Wodchis, Walter P., 2014. "Analysis of productivity, efficiency and technological changes in hospital services in Ontario: How does case-mix matter?," International Journal of Production Economics, Elsevier, vol. 150(C), pages 74-82.
    10. Øivind Anti Nilsen & Fabio Schiantarelli, 2003. "Zeros and Lumps in Investment: Empirical Evidence on Irreversibilities and Nonconvexities," The Review of Economics and Statistics, MIT Press, vol. 85(4), pages 1021-1037, November.
    11. Lin, Winston T. & Chiang, Chung-Yean, 2011. "The impacts of country characteristics upon the value of information technology as measured by productive efficiency," International Journal of Production Economics, Elsevier, vol. 132(1), pages 13-33, July.
    12. Jean-Paul Chavas & Thomas L. Cox, 1999. "A Generalized Distance Function and the Analysis of Production Efficiency," Southern Economic Journal, John Wiley & Sons, vol. 66(2), pages 294-318, October.
    13. Caballero, Ricardo J., 1999. "Aggregate investment," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 12, pages 813-862, Elsevier.
    14. Ramey, Valerie A, 1991. "Nonconvex Costs and the Behavior of Inventories," Journal of Political Economy, University of Chicago Press, vol. 99(2), pages 306-334, April.
    15. 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.
    16. Ricardo J. Caballero & Eduardo M. R. A. Engel & John C. Haltiwanger, 1995. "Plant-Level Adjustment and Aggregate Investment Dynamics," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 26(2), pages 1-54.
    17. Letterie, Wilko A. & Pfann, Gerard A., 2007. "Structural identification of high and low investment regimes," Journal of Monetary Economics, Elsevier, vol. 54(3), pages 797-819, April.
    18. Robert Chambers & Rolf Färe, 2008. "A “calculus” for data envelopment analysis," Journal of Productivity Analysis, Springer, vol. 30(3), pages 169-175, December.
    19. Mortensen, Dale T, 1973. "Generalized Costs of Adjustment and Dynamic Factor Demand Theory," Econometrica, Econometric Society, vol. 41(4), pages 657-665, July.
    20. Leleu, Hervé & Moises, James & Valdmanis, Vivian, 2012. "Optimal productive size of hospital's intensive care units," International Journal of Production Economics, Elsevier, vol. 136(2), pages 297-305.
    21. Yir-Hueih Luh & Spiro E. Stefanou, 1996. "Estimating Dynamic Dual Models under Nonstatic Expectations," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 78(4), pages 991-1003.
    22. Pierre Ouellette & Li Yan, 2008. "Investment and dynamic DEA," Journal of Productivity Analysis, Springer, vol. 29(3), pages 235-247, June.
    23. Michael Rothschild, 1971. "On the Cost of Adjustment," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 85(4), pages 605-622.
    24. Merja Halme & Tarja Joro & Pekka Korhonen & Seppo Salo & Jyrki Wallenius, 1999. "A Value Efficiency Approach to Incorporating Preference Information in Data Envelopment Analysis," Management Science, INFORMS, vol. 45(1), pages 103-115, January.
    25. Rolf Fare & Daniel Primont, 2006. "Directional duality theory Directional duality theory," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 29(1), pages 239-247, September.
    26. 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.
    27. W. Briec, 1997. "A Graph-Type Extension of Farrell Technical Efficiency Measure," Journal of Productivity Analysis, Springer, vol. 8(1), pages 95-110, March.
    28. Jiro Nemoto & Mika Goto, 2003. "Measurement of Dynamic Efficiency in Production: An Application of Data Envelopment Analysis to Japanese Electric Utilities," Journal of Productivity Analysis, Springer, vol. 19(2), pages 191-210, April.
    29. Elvira Silva & Spiro Stefanou, 2003. "Nonparametric Dynamic Production Analysis and the Theory of Cost," Journal of Productivity Analysis, Springer, vol. 19(1), pages 5-32, January.
    30. Nemoto, Jiro & Goto, Mika, 1999. "Dynamic data envelopment analysis: modeling intertemporal behavior of a firm in the presence of productive inefficiencies," Economics Letters, Elsevier, vol. 64(1), pages 51-56, July.
    31. Thomas L. Cox & Michael K. Wohlgenant, 1986. "Prices and Quality Effects in Cross-Sectional Demand Analysis," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 68(4), pages 908-919.
    32. 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.
    33. repec:cup:cbooks:9780521842723 is not listed on IDEAS
    34. Robert G. Chambers, 2002. "Exact nonradial input, output, and productivity measurement," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 20(4), pages 751-765.
    35. Fare, Rolf & Grosskopf, Shawna & Noh, Dong-Woon & Weber, William, 2005. "Characteristics of a polluting technology: theory and practice," Journal of Econometrics, Elsevier, vol. 126(2), pages 469-492, June.
    36. Horta, I.M. & Camanho, A.S. & Moreira da Costa, J., 2012. "Performance assessment of construction companies: A study of factors promoting financial soundness and innovation in the industry," International Journal of Production Economics, Elsevier, vol. 137(1), pages 84-93.
    37. Timothy F. Bresnahan & Valerie A. Ramey, 1994. "Output Fluctuations at the Plant Level," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 109(3), pages 593-624.
    38. Wilko Letterie & Gerard A. Pfann & Sher Verick, 2010. "On Lumpiness in the Replacement and Expansion of Capital," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 72(3), pages 263-281, June.
    39. Sengupta, Jati K., 1999. "A dynamic efficiency model using data envelopment analysis," International Journal of Production Economics, Elsevier, vol. 62(3), pages 209-218, September.
    40. Cooper, Russel J & McLaren, Keith R, 1980. "Atemporal, Temporal and Intertemporal Duality in Consumer Theory," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 21(3), pages 599-609, October.
    41. Robert Chambers, 2008. "Stochastic productivity measurement," Journal of Productivity Analysis, Springer, vol. 30(2), pages 107-120, October.
    42. Wibe, Sören, 2008. "Efficiency: A dynamic approach," International Journal of Production Economics, Elsevier, vol. 115(1), pages 86-91, September.
    43. Rolf Färe & Shawna Grosskopf, 2000. "Theory and Application of Directional Distance Functions," Journal of Productivity Analysis, Springer, vol. 13(2), pages 93-103, March.
    44. Larry G. Epstein, 1981. "Duality Theory and Functional Forms for Dynamic Factor Demands," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 48(1), pages 81-95.
    45. Chambers, Robert G. & Chung, Yangho & Fare, Rolf, 1996. "Benefit and Distance Functions," Journal of Economic Theory, Elsevier, vol. 70(2), pages 407-419, August.
    46. Robert E. Lucas & Jr., 1967. "Adjustment Costs and the Theory of Supply," Journal of Political Economy, University of Chicago Press, vol. 75(4), pages 321-321.
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