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The Dynamics of a Simple Relative Adjustment Cost Framework

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  • 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
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    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. Skiba, A K, 1978. "Optimal Growth with a Convex-Concave Production Function," Econometrica, Econometric Society, vol. 46(3), pages 527-539, May.
    3. 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.
    4. d'Autume, Antoine & Michel, Philippe, 1985. "Future Investment Constraints Reduce Present Investment," Econometrica, Econometric Society, vol. 53(1), pages 203-206, January.
    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(4), pages 321-321.
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    Cited by:

    1. 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.
    2. Willi SEMMLER & Wenlang ZHANG, 2010. "Monetary Policy Rules with Nonlinear Philips Curve and Endogenous Nairu," EcoMod2004 330600128, EcoMod.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. 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.
    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.

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