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Capacity, volume flexibility, and costs

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  • Zhang, Anzhou

Abstract

This paper studies strategic firms' capacity choices in the presence of demand uncertainty and imperfect downside and upside volume flexibility. It provides conditions under which firms' capacity is greater or less than their expected output. It shows under certain conditions, a first-order stochastically dominant demand distribution induces higher capacity, while a mean-preserving spread of a demand distribution induces lower capacity. By endogenizing volume flexibility, it shows that firms' downside flexibility tends to be lower than their upside flexibility. This implies a firm's short-run average cost tends to be asymmetrically U-shaped, namely, the average cost increases more when output falls below capacity (the efficient scale) than when output rises above capacity by an equivalent amount.

Suggested Citation

  • Zhang, Anzhou, 2024. "Capacity, volume flexibility, and costs," International Journal of Industrial Organization, Elsevier, vol. 97(C).
  • Handle: RePEc:eee:indorg:v:97:y:2024:i:c:s0167718724000511
    DOI: 10.1016/j.ijindorg.2024.103096
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    1. Yuanzhu Lu & Sougata Poddar, 2006. "The Choice Of Capacity In Mixed Duopoly Under Demand Uncertainty," Manchester School, University of Manchester, vol. 74(3), pages 266-272, June.
    2. Kuno J.M. Huisman & Peter M. Kort, 2015. "Strategic capacity investment under uncertainty," RAND Journal of Economics, RAND Corporation, vol. 46(2), pages 376-408, June.
    3. Elie Appelbaum & Chin Lim, 1985. "Contestable Markets under Uncertainty," RAND Journal of Economics, The RAND Corporation, vol. 16(1), pages 28-40, Spring.
    4. Andrew B. Abel & Avinash K. Dixit & Janice B. Eberly & Robert S. Pindyck, "undated". "Options, the Value of Capital, and Investment," Rodney L. White Center for Financial Research Working Papers 15-95, Wharton School Rodney L. White Center for Financial Research.
    5. Reynolds, Stanley S. & Wilson, Bart J., 2000. "Bertrand-Edgeworth Competition, Demand Uncertainty, and Asymmetric Outcomes," Journal of Economic Theory, Elsevier, vol. 92(1), pages 122-141, May.
    6. Abel, Andrew B & Eberly, Janice C, 1994. "A Unified Model of Investment under Uncertainty," American Economic Review, American Economic Association, vol. 84(5), pages 1369-1384, December.
    7. Avinash Dixit, 1979. "A Model of Duopoly Suggesting a Theory of Entry Barriers," Bell Journal of Economics, The RAND Corporation, vol. 10(1), pages 20-32, Spring.
    8. Sheshinski, Eytan & Dreze, Jacques H, 1976. "Demand Fluctuations, Capacity Utilization, and Costs," American Economic Review, American Economic Association, vol. 66(5), pages 731-742, December.
    9. Andrew B. Abel & Janice C. Eberly, 1996. "Optimal Investment with Costly Reversibility," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 63(4), pages 581-593.
    10. Ravi Anupindi & Li Jiang, 2008. "Capacity Investment Under Postponement Strategies, Market Competition, and Demand Uncertainty," Management Science, INFORMS, vol. 54(11), pages 1876-1890, November.
    11. Ware, Roger, 1984. "Sunk Costs and Strategic Commitment: A Proposed Three-Stage Equilibrium," Economic Journal, Royal Economic Society, vol. 94(374), pages 370-378, June.
    12. Liu Yang & Chi To Ng & Yaodong Ni, 2017. "Flexible capacity strategy in an asymmetric oligopoly market with competition and demand uncertainty," Naval Research Logistics (NRL), John Wiley & Sons, vol. 64(2), pages 117-138, March.
    13. Dixit, Avinash, 1980. "The Role of Investment in Entry-Deterrence," Economic Journal, Royal Economic Society, vol. 90(357), pages 95-106, March.
    14. Yang, Shu-Jung Sunny & Anderson, Edward James, 2014. "Competition through capacity investment under asymmetric existing capacities and costs," European Journal of Operational Research, Elsevier, vol. 237(1), pages 217-230.
    15. Caballero, Ricardo J, 1991. "On the Sign of the Investment-Uncertainty Relationship," American Economic Review, American Economic Association, vol. 81(1), pages 279-288, March.
    16. Goux, Dominique & Maurin, Eric & Pauchet, Marianne, 2001. "Fixed-term contracts and the dynamics of labour demand," European Economic Review, Elsevier, vol. 45(3), pages 533-552, March.
    17. Xingang Wen & Peter M. Kort & Dolf Talman, 2017. "Volume flexibility and capacity investment: a real options approach," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(12), pages 1633-1646, December.
    18. Mark C. Anderson & Rajiv D. Banker & Surya N. Janakiraman, 2003. "Are Selling, General, and Administrative Costs “Sticky”?," Journal of Accounting Research, Wiley Blackwell, vol. 41(1), pages 47-63, March.
    19. Spulber, Daniel F, 1981. "Capacity, Output, and Sequential Entry," American Economic Review, American Economic Association, vol. 71(3), pages 503-514, June.
    20. Pindyck, Robert S, 1991. "Irreversibility, Uncertainty, and Investment," Journal of Economic Literature, American Economic Association, vol. 29(3), pages 1110-1148, September.
    21. Jean J. Gabszewicz & Sougata Poddar, 1997. "Demand fluctuations and capacity utilization under duopoly," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 10(1), pages 131-146.
    22. Dan Kovenock & Raymond Deneckere & Tom Faith & Beth Allen, 2000. "Capacity precommitment as a barrier to entry: A Bertrand-Edgeworth approach," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 15(3), pages 501-530.
    23. Lepore, Jason J., 2012. "Cournot outcomes under Bertrand–Edgeworth competition with demand uncertainty," Journal of Mathematical Economics, Elsevier, vol. 48(3), pages 177-186.
    24. Vives, Xavier, 1986. "Commitment, flexibility and market outcomes," International Journal of Industrial Organization, Elsevier, vol. 4(2), pages 217-229, June.
    25. Pindyck, Robert S, 1988. "Irreversible Investment, Capacity Choice, and the Value of the Firm," American Economic Review, American Economic Association, vol. 78(5), pages 969-985, December.
    26. de Frutos, María-Ángeles & Fabra, Natalia, 2011. "Endogenous capacities and price competition: The role of demand uncertainty," International Journal of Industrial Organization, Elsevier, vol. 29(4), pages 399-411, July.
    27. Vives, Xavier, 1989. "Technological competition, uncertainty, and oligopoly," Journal of Economic Theory, Elsevier, vol. 48(2), pages 386-415, August.
    28. Russell W. Cooper & John C. Haltiwanger, 2006. "On the Nature of Capital Adjustment Costs," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 73(3), pages 611-633.
    29. Palm, Franz C. & Pfann, Gerard A., 1998. "Sources of asymmetry in production factor dynamics," Journal of Econometrics, Elsevier, vol. 82(2), pages 361-392, February.
    30. Gal-Or, Esther, 1984. "Price Dispersion with Uncertain Demand," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 25(2), pages 441-457, June.
    31. De Giovanni, Domenico & Massabò, Ivar, 2018. "Capacity investment under uncertainty: The effect of volume flexibility," International Journal of Production Economics, Elsevier, vol. 198(C), pages 165-176.
    32. Jan A. Van Mieghem & Maqbool Dada, 1999. "Price Versus Production Postponement: Capacity and Competition," Management Science, INFORMS, vol. 45(12), pages 1639-1649, December.
    33. Dangl, Thomas, 1999. "Investment and capacity choice under uncertain demand," European Journal of Operational Research, Elsevier, vol. 117(3), pages 415-428, September.
    34. A. Michael Spence, 1977. "Entry, Capacity, Investment and Oligopolistic Pricing," Bell Journal of Economics, The RAND Corporation, vol. 8(2), pages 534-544, Autumn.
    35. Hviid, Morten, 1991. "Capacity constrained duopolies, uncertain demand and non-existence of pure strategy equilibria," European Journal of Political Economy, Elsevier, vol. 7(2), pages 183-190, July.
    36. Avinash K. Dixit & Robert S. Pindyck, 1994. "Investment under Uncertainty," Economics Books, Princeton University Press, edition 1, number 5474.
    37. Sadanand, Asha & Sadanand, Venkatraman, 1996. "Firm Scale and the Endogenous Timing of Entry: a Choice between Commitment and Flexibility," Journal of Economic Theory, Elsevier, vol. 70(2), pages 516-530, August.
    38. Chevalier-Roignant, Benoît & Flath, Christoph M. & Kort, Peter M. & Trigeorgis, Lenos, 2021. "Capacity investment choices under cost heterogeneity and output flexibility in oligopoly," European Journal of Operational Research, Elsevier, vol. 290(3), pages 1154-1173.
    39. Mills, David E, 1984. "Demand Fluctuations and Endogenous Firm Flexibility," Journal of Industrial Economics, Wiley Blackwell, vol. 33(1), pages 55-71, September.
    40. Basu, Kaushik & Singh, Nirvikar, 1990. "Entry-Deterrence in Stackelberg Perfect Equilibria," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 31(1), pages 61-71, February.
    41. Andrew B. Abel & Avinash K. Dixit & Janice C. Eberly & Robert S. Pindyck, 1996. "Options, the Value of Capital, and Investment," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 111(3), pages 753-777.
    42. Marcel Boyer & Michel Moreaux, 1997. "Capacity Commitment versus Flexibility," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 6(1), pages 347-376, June.
    43. Spencer, Barbara J. & Brander, James A., 1992. "Pre-commitment and flexibility : Applications to oligopoly theory," European Economic Review, Elsevier, vol. 36(8), pages 1601-1626, December.
    44. Veronika Grimm & Gregor Zoettl, 2013. "Investment Incentives and Electricity Spot Market Competition," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 22(4), pages 832-851, December.
    45. Saloner, Garth, 1985. "Excess capacity as a policing device," Economics Letters, Elsevier, vol. 18(1), pages 83-86.
    46. Maggi, Giovanni, 1996. "Strategic Trade Policies with Endogenous Mode of Competition," American Economic Review, American Economic Association, vol. 86(1), pages 237-258, March.
    47. Hagspiel, Verena & Huisman, Kuno J.M. & Kort, Peter M., 2016. "Volume flexibility and capacity investment under demand uncertainty," International Journal of Production Economics, Elsevier, vol. 178(C), pages 95-108.
    48. Manu Goyal & Serguei Netessine, 2011. "Volume Flexibility, Product Flexibility, or Both: The Role of Demand Correlation and Product Substitution," Manufacturing & Service Operations Management, INFORMS, vol. 13(2), pages 180-193, March.
    49. David M. Kreps & Jose A. Scheinkman, 1983. "Quantity Precommitment and Bertrand Competition Yield Cournot Outcomes," Bell Journal of Economics, The RAND Corporation, vol. 14(2), pages 326-337, Autumn.
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    More about this item

    Keywords

    Adjustment costs; Capacity investment; Volume flexibility;
    All these keywords.

    JEL classification:

    • D24 - Microeconomics - - Production and Organizations - - - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity
    • L11 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Production, Pricing, and Market Structure; Size Distribution of Firms

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