IDEAS home Printed from https://ideas.repec.org/a/bla/germec/v2y2001i3p255-268.html
   My bibliography  Save this article

The Dynamics of a Simple Relative Adjustment Cost Framework

Author

Listed:
  • Gustav Feichtinger
  • Peter M. Kort
  • Richard F. Hartl
  • Franz Wirl

Abstract

This paper considers a capital accumulation model with the specific feature that adjustment costs depend on investment relative to the size of the capital stock. This framework has, beyond its plausible yet neglected setting, a number of interesting consequences. In particular, the possibility of multiple equilibria, of an unstable steady state and thus of a (`history dependent’) threshold associated with concavity is surprising given a voluminous literature on multiple, history‐dependent equilibria emphasizing non‐concavities (or convexities).

Suggested Citation

  • Gustav Feichtinger & Peter M. Kort & Richard F. Hartl & Franz Wirl, 2001. "The Dynamics of a Simple Relative Adjustment Cost Framework," German Economic Review, Verein für Socialpolitik, vol. 2(3), pages 255-268, August.
    • Handle: RePEc:bla:germec:v:2:y:2001:i:3:p:255-268
    DOI: 10.1111/1468-0475.00037
    as

    Download full text from publisher

    File URL: https://doi.org/10.1111/1468-0475.00037
    Download Restriction: no
    File URL: https://libkey.io/10.1111/1468-0475.00037?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. W. Davis Dechert & Kazuo Nishimura, 2012. "A Complete Characterization of Optimal Growth Paths in an Aggregated Model with a Non-Concave Production Function," Springer Books, in: John Stachurski & Alain Venditti & Makoto Yano (ed.), Nonlinear Dynamics in Equilibrium Models, edition 127, chapter 0, pages 237-257, Springer.
    2. d'Autume, Antoine & Michel, Philippe, 1985. "Future Investment Constraints Reduce Present Investment," Econometrica, Econometric Society, vol. 53(1), pages 203-206, January.
    3. Skiba, A K, 1978. "Optimal Growth with a Convex-Concave Production Function," Econometrica, Econometric Society, vol. 46(3), pages 527-539, May.
    4. Kort, P.M. & Jorgensen, S., 1993. "Dynamic investment policy with installation experience effects," Other publications TiSEM bb9bb929-3b55-4f01-ab0a-2, Tilburg University, School of Economics and Management.
    5. Hayashi, Fumio, 1982. "Tobin's Marginal q and Average q: A Neoclassical Interpretation," Econometrica, Econometric Society, vol. 50(1), pages 213-224, January.
    6. Robert E. Lucas & Jr., 1967. "Adjustment Costs and the Theory of Supply," Journal of Political Economy, University of Chicago Press, vol. 75, pages 321-321.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Herbert Dawid & Engelbert Dockner & Richard Hartl & Josef Haunschmied & Ulrike Leopold-Wildburger & Mikulas Luptacik & Alexander Mehlmann & Alexia Prskawetz & Marion Rauner & Gerhard Sorger & Gernot T, 2010. "Gustav Feichtinger celebrates his 70th birthday," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 18(4), pages 437-451, December.
    2. Grune, Lars & Semmler, Willi, 2004. "Using dynamic programming with adaptive grid scheme for optimal control problems in economics," Journal of Economic Dynamics and Control, Elsevier, vol. 28(12), pages 2427-2456, December.
    3. Ming-fu Shaw & Shu-hua Chen & Ching-chong Lai & Juin-jen Chang, 2004. "Interest Rate Rules, Target Policies, and Endogenous Economic Growth in an Open Economy," IEAS Working Paper : academic research 04-A004, Institute of Economics, Academia Sinica, Taipei, Taiwan.
    4. J. P. Caulkins & R. F. Hartl & G. Tragler & G. Feichtinger, 2001. "Why Politics Makes Strange Bedfellows: Dynamic Model with DNS Curves," Journal of Optimization Theory and Applications, Springer, vol. 111(2), pages 237-254, November.
    5. Shaw, Ming-Fu & Lai, Ching-Chong & Chang, Wen-Ya, 2005. "Anticipated policy and endogenous growth in a small open monetary economy," Journal of International Money and Finance, Elsevier, vol. 24(5), pages 719-743, September.
    6. Chen, Shu-hua & Shaw, Ming-fu & Lai, Ching-chong & Chang, Juin-jen, 2008. "Interest-rate rules and transitional dynamics in an endogenously growing open economy," Journal of International Money and Finance, Elsevier, vol. 27(1), pages 54-75, February.
    7. Chen, Ping-ho & Lai, Ching-chong & Chu, Hsun, 2016. "Welfare effects of tourism-driven Dutch disease: The roles of international borrowings and factor intensity," International Review of Economics & Finance, Elsevier, vol. 44(C), pages 381-394.
    8. Willi SEMMLER & Wenlang ZHANG, 2010. "Monetary Policy Rules with Nonlinear Philips Curve and Endogenous Nairu," EcoMod2004 330600128, EcoMod.
    9. Lai, Ching-Chong & Chin, Chi-Ting, 2013. "Monetary Rules And Endogenous Growth In An Open Economy," Macroeconomic Dynamics, Cambridge University Press, vol. 17(2), pages 431-463, March.
    10. Grüne, Lars & Semmler, Willi & Stieler, Marleen, 2015. "Using nonlinear model predictive control for dynamic decision problems in economics," Journal of Economic Dynamics and Control, Elsevier, vol. 60(C), pages 112-133.
    11. Ching-chong Lai & Chi-ting Chin, 2010. "(In)determinacy, increasing returns, and the optimality of the Friedman rule in an endogenously growing open economy," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 44(1), pages 69-100, July.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Wagener, F.O.O., 2005. "Structural analysis of optimal investment for firms with non-concave revenue," Journal of Economic Behavior & Organization, Elsevier, vol. 57(4), pages 474-489, August.
    2. Haunschmied, Josef L. & Kort, Peter M. & Hartl, Richard F. & Feichtinger, Gustav, 2003. "A DNS-curve in a two-state capital accumulation model: a numerical analysis," Journal of Economic Dynamics and Control, Elsevier, vol. 27(4), pages 701-716, February.
    3. R. F. Hartl & P. M. Kort & G. Feichtinger & F. Wirl, 2004. "Multiple Equilibria and Thresholds Due to Relative Investment Costs," Journal of Optimization Theory and Applications, Springer, vol. 123(1), pages 49-82, October.
    4. Sylvain Catherine & Thomas Chaney & Zongbo Huang & David Sraer & David Thesmar, 2022. "Quantifying Reduced‐Form Evidence on Collateral Constraints," Journal of Finance, American Finance Association, vol. 77(4), pages 2143-2181, August.
    5. Azariadis, Costas & Stachurski, John, 2005. "Poverty Traps," Handbook of Economic Growth, in: Philippe Aghion & Steven Durlauf (ed.), Handbook of Economic Growth, edition 1, volume 1, chapter 5, Elsevier.
    6. Wirl, Franz & Feichtinger, Gustav, 2005. "History dependence in concave economies," Journal of Economic Behavior & Organization, Elsevier, vol. 57(4), pages 390-407, August.
    7. Dawid, Herbert & Kopel, Michael, 1997. "On the Economically Optimal Exploitation of a Renewable Resource: The Case of a Convex Environment and a Convex Return Function," Journal of Economic Theory, Elsevier, vol. 76(2), pages 272-297, October.
    8. Takashi Kamihigashi & Santanu Roy, 2006. "Dynamic optimization with a nonsmooth, nonconvex technology: the case of a linear objective function," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 29(2), pages 325-340, October.
    9. Francesco Bartaloni, 2021. "Existence of the Optimum in Shallow Lake Type Models with Hysteresis Effect," Journal of Optimization Theory and Applications, Springer, vol. 190(2), pages 358-392, August.
    10. Kiley, Michael T., 2001. "Computers and growth with frictions: aggregate and disaggregate evidence," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 55(1), pages 171-215, December.
    11. Tryphon Kollintzas, 1986. "Tax Policy under Nongeometric Physical Depreciation," Public Finance Review, , vol. 14(3), pages 263-288, July.
    12. Shaukat, Badiea & Zhu, Qigui & Khan, M. Ijaz, 2019. "Real interest rate and economic growth: A statistical exploration for transitory economies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    13. Alan Carruth & Andy Dickerson & Andrew Henley, 2000. "What do We Know About Investment Under Uncertainty?," Journal of Economic Surveys, Wiley Blackwell, vol. 14(2), pages 119-154, April.
    14. Lee, Gabriel S., 1999. "Housing Investment Dynamics, Period of Production, and Adjustment Costs," Journal of Housing Economics, Elsevier, vol. 8(1), pages 1-25, March.
    15. Jean-Bernard Chatelain, 2003. "Structural modelling of financial constraints on investment: where do we stand?," Chapters, in: Paul Butzen & Catherine Fuss (ed.), Firms’ Investment and Finance Decisions, chapter 2, pages 40-58, Edward Elgar Publishing.
    16. John M. Roberts, 2005. "Using structural shocks to identify models of investment," Finance and Economics Discussion Series 2005-69, Board of Governors of the Federal Reserve System (U.S.).
    17. Philip L. Brock, 2009. "Collateral Constraints and Macroeconomic Adjustment in an Open Economy," Working Papers UWEC-2009-03, University of Washington, Department of Economics.
    18. Warwick J. McKibbin & Kanhaiya Singh, 2003. "Issues in the Choice of a Monetary Regime for India," Chapters, in: Kaliappa Kalirajan & Ulaganathan Sankar (ed.), Economic Reform and the Liberalisation of the Indian Economy, chapter 10, pages 221-274, Edward Elgar Publishing.
    19. Guest, Ross S. & McDonald, Ian M., 2001. "The volatility of the socially optimal level of investment," Journal of Policy Modeling, Elsevier, vol. 23(8), pages 901-928, November.
    20. Zeiler, I. & Caulkins, J.P. & Tragler, G., 2011. "Optimal control of interacting systems with DNSS property: The case of illicit drug use," Journal of Economic Behavior & Organization, Elsevier, vol. 78(1), pages 60-73.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:bla:germec:v:2:y:2001:i:3:p:255-268. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: https://edirc.repec.org/data/vfsocea.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.