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Maintenance expenditures and indeterminacy under increasing returns to scale

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  • Jang-Ting Guo
  • Kevin J. Lansing

Abstract

This paper develops a one-sector real business cycle model in which competitive firms allocate resources for the production of goods, investment in new capital, and maintenance of existing capital. Firms also choose the utilization rate of existing capital. A higher utilization rate leads to faster capital depreciation, while an increase in maintenance activity has the opposite effect. We show that as the equilibrium ratio of maintenance expenditures to GDP rises, the required degree of increasing returns for local indeterminacy declines over a wide range of parameter combinations. When the model is calibrated to match empirical evidence on the relative size of maintenance and repair activity, we find that local indeterminacy (and belief-driven fluctuations) can occur with a mild and empirically-plausible degree of increasing returns–around 1.08.

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Bibliographic Info

Article provided by The International Society for Economic Theory in its journal International Journal of Economic Theory.

Volume (Year): 3 (2007)
Issue (Month): 2 ()
Pages: 147-158

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Handle: RePEc:bla:ijethy:v:3:y:2007:i:2:p:147-158

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  1. Benhabib, J. & Farmer, R.E.A, 1991. "Indeterminacy and Increasing Returns," Papers 165, Cambridge - Risk, Information & Quantity Signals.
  2. Roger E.A. Farmer & Jang Ting Guo, 1992. "Real Business Cycles and the Animal Spirits Hypothesis," UCLA Economics Working Papers 680, UCLA Department of Economics.
  3. Wen, Yi, 1998. "Capacity Utilization under Increasing Returns to Scale," Journal of Economic Theory, Elsevier, vol. 81(1), pages 7-36, July.
  4. Pintus, Patrick A., 2004. "Expectations-Driven Fluctuations When Factor Utilization Is Variable," Macroeconomic Dynamics, Cambridge University Press, vol. 8(01), pages 3-26, February.
  5. repec:cup:macdyn:v:8:y:2004:i:1:p:3-26 is not listed on IDEAS
  6. Guo, Jang-Ting & Harrison, Sharon G., 2001. "Indeterminacy with capital utilization and sector-specific externalities," Economics Letters, Elsevier, vol. 72(3), pages 355-360, September.
  7. L. Wade, 1988. "Review," Public Choice, Springer, vol. 58(1), pages 99-100, July.
  8. Susanto Basu & John G. Fernald, 1996. "Returns to scale in U.S. production: estimates and implications," International Finance Discussion Papers 546, Board of Governors of the Federal Reserve System (U.S.).
  9. Burnside, Craig, 1996. "Production function regressions, returns to scale, and externalities," Journal of Monetary Economics, Elsevier, vol. 37(2-3), pages 177-201, April.
  10. Greenwood, Jeremy & Hercowitz, Zvi & Huffman, Gregory W, 1988. "Investment, Capacity Utilization, and the Real Business Cycle," American Economic Review, American Economic Association, vol. 78(3), pages 402-17, June.
  11. Weder, Mark, 2000. "Animal spirits, technology shocks and the business cycle," Journal of Economic Dynamics and Control, Elsevier, vol. 24(2), pages 273-295, February.
  12. Ellen R. McGrattan & James A. Schmitz, Jr., 1999. "Maintenance and repair: too big to ignore," Quarterly Review, Federal Reserve Bank of Minneapolis, issue Fall, pages 2-13.
  13. Benhabib, Jess & Nishimura, Kazuo, 1998. "Indeterminacy and Sunspots with Constant Returns," Journal of Economic Theory, Elsevier, vol. 81(1), pages 58-96, July.
  14. Harrison, Sharon G., 2001. "Indeterminacy in a model with sector-specific externalities," Journal of Economic Dynamics and Control, Elsevier, vol. 25(5), pages 747-764, May.
  15. Jess Benhabib & Qinglai Meng & Kazuo Nishimura, 2000. "Indeterminacy under Constant Returns to Scale in Multisector Economies," Econometrica, Econometric Society, vol. 68(6), pages 1541-1548, November.
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Cited by:
  1. Juin-jen Chang & Chun-chieh Huang & Hsiao-wen Hung, 2011. "Monopoly Power, Increasing Returns to Variety, and Local Indeterminacy," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 14(2), pages 384-388, April.
  2. Chin, Chi-Ting & Guo, Jang-Ting & Lai, Ching-Chong, 2009. "Macroeconomic (in)stability under real interest rate targeting," Journal of Economic Dynamics and Control, Elsevier, vol. 33(9), pages 1631-1638, September.
  3. Francesco Busato & Enrico Marchetti, 2006. "Skills, sunspots and cycles," Economics Working Papers 2006-07, School of Economics and Management, University of Aarhus.
  4. Fujisaki, Seiya & Mino, Kazuo, 2009. "Long-Run Impacts of Inflation Tax with Endogenous Capital Depreciation," MPRA Paper 16657, University Library of Munich, Germany.
  5. Francesco Busato & Bruno Chiarini & Enrico Marchetti, 2005. "Indeterminacy, Underground Activities and Tax Evasion," Working Papers 289, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
  6. Wang, Gaowang & Zou, Heng-fu, 2014. "Consumption externality and indeterminacy under increasing returns to scale and endogenous capital depreciation," Economic Modelling, Elsevier, vol. 38(C), pages 282-287.
  7. Ludmila Fadejeva & Aleksejs Melihovs, 2010. "Measuring Total Factor Productivity and Variable Factor Utilization," Eastern European Economics, M.E. Sharpe, Inc., vol. 48(5), pages 63-101, September.
  8. Jang-Ting Guo & Kevin J. Lansing, 2008. "Capital-labor substitution, equilibrium indeterminacy, and the cyclical behavior of labor income," Working Paper Series 2008-06, Federal Reserve Bank of San Francisco.
  9. Guo, Jang-Ting & Lansing, Kevin J., 2009. "Capital-labor substitution and equilibrium indeterminacy," Journal of Economic Dynamics and Control, Elsevier, vol. 33(12), pages 1991-2000, December.

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