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Why Are Concavity Conditions Not Satisfied in the Cost Function? The Case of Japanese Manufacturing Firms during the Bubble Period

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  • Kazuo Ogawa

Abstract

This paper examines empirically some of the reasons why Japanese manufacturing firms frequently fail to satisfy concavity conditions of the cost function. We focus on the "bubble period" in the 1980s when land was in great demand for reasons related to both production and speculation, and land prices soared. By estimating the translog cost function with land as one of production inputs for manufacturing firms, we find that violation of concavity resulted from borrowing constraints and large adjustments of employment. We also demonstrate that elasticities of substitution between land and other inputs and input demand with respect to land rental prices are both estimated with large biases if the firms violating concavity are not excluded from the analysis.

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  • Kazuo Ogawa, 2008. "Why Are Concavity Conditions Not Satisfied in the Cost Function? The Case of Japanese Manufacturing Firms during the Bubble Period," ISER Discussion Paper 0719, Institute of Social and Economic Research, Osaka University.
  • Handle: RePEc:dpr:wpaper:0719
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    References listed on IDEAS

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    1. Ogawa, Kazuo & Suzuki, Kazuyuki, 1998. "Land Value and Corporate Investment: Evidence from Japanese Panel Data," Journal of the Japanese and International Economies, Elsevier, vol. 12(3), pages 232-249, September.
    2. Christensen, Laurits R & Jorgenson, Dale W & Lau, Lawrence J, 1973. "Transcendental Logarithmic Production Frontiers," The Review of Economics and Statistics, MIT Press, vol. 55(1), pages 28-45, February.
    3. Ogawa, Kazuo & Kitasaka, Shin-ichi & Yamaoka, Hiroshi & Iwata, Yasuharu, 1996. "Borrowing Constraints and the Role of Land Asset in Japanese Corporate Investment Decision," Journal of the Japanese and International Economies, Elsevier, vol. 10(2), pages 122-149, June.
    4. Ogawa, K. & Suzuki K., 1996. "Demand for Bank Loans Under Borrowing Constraints: A Panel Study of Japanese Firm Data," ISER Discussion Paper 0409, Institute of Social and Economic Research, Osaka University.
    5. Chew Chua & Hsein Kew & Jongsay Yong, 2005. "Airline Code-share Alliances and Costs: Imposing Concavity on Translog Cost Function Estimation," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 26(4), pages 461-487, June.
    6. Ryan, David L. & Wales, Terence J., 2000. "Imposing local concavity in the translog and generalized Leontief cost functions," Economics Letters, Elsevier, vol. 67(3), pages 253-260, June.
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    Cited by:

    1. Laura Spierdijk & Sherrill Shaffer & Tim Considine, 2016. "Adapting to changing input prices in response to the crisis: The case of US commercial banks," CAMA Working Papers 2016-15, Centre for Applied Macroeconomic Analysis, Crawford School of Public Policy, The Australian National University.
    2. Li, Lianyou & Song, Ze & Ma, Chao, 2015. "Engel curves and price elasticity in urban Chinese Households," Economic Modelling, Elsevier, vol. 44(C), pages 236-242.

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