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Fixed Cost, Variable Cost, Markups and Returns to Scale

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  • Xi Chen
  • Bertrand M. Koebel

Abstract

This paper derives the structure of a production function which is necessary and sufficient for generating a fixed cost. We extend the classical production function in order to allow each input to have a fixed and a variable part. We characterize and estimate both fixed and variable components of the cost function and study how fixed and variable costs interact and affect firms' behavior in terms of price setting and returns to scale.

Suggested Citation

  • 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.
  • Handle: RePEc:adr:anecst:y:2017:i:127:p:61-94
    DOI: 10.15609/annaeconstat2009.127.0061
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    1. Diewert, W. Erwin & Fox, Kevin J., 2008. "On the estimation of returns to scale, technical progress and monopolistic markups," Journal of Econometrics, Elsevier, vol. 145(1-2), pages 174-193, July.
    2. Aghion, Philippe & Howitt, Peter, 1992. "A Model of Growth through Creative Destruction," Econometrica, Econometric Society, vol. 60(2), pages 323-351, March.
    3. Marc J. Melitz, 2003. "The Impact of Trade on Intra-Industry Reallocations and Aggregate Industry Productivity," Econometrica, Econometric Society, vol. 71(6), pages 1695-1725, November.
    4. David Colander, 2004. "On the Treatment of Fixed and Sunk Costs in the Principles Textbooks," The Journal of Economic Education, Taylor & Francis Journals, vol. 35(4), pages 360-364, October.
    5. Dehez, Pierre & Dreze, Jacques H. & Suzuki, Takashi, 2003. "Imperfect competition a la Negishi, also with fixed costs," Journal of Mathematical Economics, Elsevier, vol. 39(3-4), pages 219-237, June.
    6. Baumol, William J, 1982. "Contestable Markets: An Uprising in the Theory of Industry Structure," American Economic Review, American Economic Association, vol. 72(1), pages 1-15, March.
    7. Blackorby, Charles & Schworm, William, 1988. "The Existence of Input and Output Aggregates in Aggregate Production Functions," Econometrica, Econometric Society, vol. 56(3), pages 613-643, May.
    8. 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.
    9. William J. Baumol & Robert D. Willig, 1981. "Fixed Costs, Sunk Costs, Entry Barriers, and Sustainability of Monopoly," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 96(3), pages 405-431.
    10. Mundlak, Yair, 1978. "On the Pooling of Time Series and Cross Section Data," Econometrica, Econometric Society, vol. 46(1), pages 69-85, January.
    11. Kenneth Arrow, 1962. "Economic Welfare and the Allocation of Resources for Invention," NBER Chapters, in: The Rate and Direction of Inventive Activity: Economic and Social Factors, pages 609-626, National Bureau of Economic Research, Inc.
    12. Newey, Whitney & West, Kenneth, 2014. "A simple, positive semi-definite, heteroscedasticity and autocorrelation consistent covariance matrix," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 33(1), pages 125-132.
    13. Luís Cabral, 2012. "Technology uncertainty, sunk costs, and industry shakeout," Industrial and Corporate Change, Oxford University Press and the Associazione ICC, vol. 21(3), pages 539-552, June.
    14. Fuss, Melvyn & McFadden, Daniel (ed.), 1978. "Production Economics: A Dual Approach to Theory and Applications," Elsevier Monographs, Elsevier, edition 1, number 9780444850133.
    15. Richard Blundell & Jean-Marc Robin, 2000. "Latent Separability: Grouping Goods without Weak Separability," Econometrica, Econometric Society, vol. 68(1), pages 53-84, January.
    16. Caves, Douglas W & Christensen, Laurits R & Swanson, Joseph A, 1981. "Productivity Growth, Scale Economies, and Capacity Utilization in U.S. Railroads, 1955-74," American Economic Review, American Economic Association, vol. 71(5), pages 994-1002, December.
    17. Diewert, Walter E & Wales, Terence J, 1987. "Flexible Functional Forms and Global Curvature Conditions," Econometrica, Econometric Society, vol. 55(1), pages 43-68, January.
    18. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
    19. Morrison, Catherine J, 1988. "Quasi-Fixed Inputs in U.S. and Japanese Manufacturing: A Generalized Leontief Restricted Cost Function Approach," The Review of Economics and Statistics, MIT Press, vol. 70(2), pages 275-287, May.
    20. Koebel, Bertrand & Falk, Martin & Laisney, Francois, 2003. "Imposing and Testing Curvature Conditions on a Box-Cox Cost Function," Journal of Business & Economic Statistics, American Statistical Association, vol. 21(2), pages 319-335, April.
    21. Sutton, John, 2007. "Market Structure: Theory and Evidence," Handbook of Industrial Organization, in: Mark Armstrong & Robert Porter (ed.), Handbook of Industrial Organization, edition 1, volume 3, chapter 35, pages 2301-2368, Elsevier.
    22. repec:hal:spmain:info:hdl:2441/f0uohitsgqh8dhk9820172631 is not listed on IDEAS
    23. Berry, Steven & Reiss, Peter, 2007. "Empirical Models of Entry and Market Structure," Handbook of Industrial Organization, in: Mark Armstrong & Robert Porter (ed.), Handbook of Industrial Organization, edition 1, volume 3, chapter 29, pages 1845-1886, Elsevier.
    24. Chambers,Robert G., 1988. "Applied Production Analysis," Cambridge Books, Cambridge University Press, number 9780521314275, September.
    25. 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.
    26. Cameron,A. Colin & Trivedi,Pravin K., 2005. "Microeconometrics," Cambridge Books, Cambridge University Press, number 9780521848053, September.
    27. Browning, M J, 1983. "Necessary and Sufficient Conditions for Conditional Cost Functions," Econometrica, Econometric Society, vol. 51(3), pages 851-856, May.
    28. Tricia Gladden & Christopher Taber, 2009. "The relationship between wage growth and wage levels," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 24(6), pages 914-932.
    29. Charles Blackorby & William Schworm, 1984. "The Structure of Economies with Aggregate Measures of Capital: A Complete Characterization," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 51(4), pages 633-650.
    30. Xi CHEN, 2012. "Estimation of the CES Production Function with Biased Technical Change: A Control Function Approach," Working Papers of BETA 2012-20, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
    31. X. Henry Wang & Bill Z. Yang, 2004. "On the Treatment of Fixed and Sunk Costs in Principles Textbooks: A Comment and a Reply," The Journal of Economic Education, Taylor & Francis Journals, vol. 35(4), pages 365-369, October.
    32. Krugman, Paul R., 1979. "Increasing returns, monopolistic competition, and international trade," Journal of International Economics, Elsevier, vol. 9(4), pages 469-479, November.
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    2. Ryosuke Shimizu & Shohei Momoda, 2021. "Does Automation Technology increase Wage?," Discussion papers ron343, Policy Research Institute, Ministry of Finance Japan.
    3. Ryosuke Shimizu & Shohei Momoda, 2020. "Does Automation Technology increase Wage?," KIER Working Papers 1039, Kyoto University, Institute of Economic Research.

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    More about this item

    Keywords

    identification; imperfect competition; unobserved heterogeneity;
    All these keywords.

    JEL classification:

    • C33 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Models with Panel Data; Spatio-temporal Models
    • D24 - Microeconomics - - Production and Organizations - - - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity
    • L60 - Industrial Organization - - Industry Studies: Manufacturing - - - General

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