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One Sector Models, Indeterminacy, and Productive Public Spending

Listed author(s):
  • Sergey Slobodyan

This paper studies the influence of different modelling assumptions on the determinacy of the steady state in one—sector models of economic growth with externalities in the production function. We show that productive public spending subject to congestion, combined with variable capital utilization, can lead to indeterminacy at very low degrees of social increasing returns to scale. We perform a calibration of the model to the tax regimes observed in the USA. We shed some light on the conflicting effects of progressive taxation on the steady state stability reported in the literature. Finally, we extensively discuss the features of the model that lead to an indeterminate rather than an explosive steady state once the saddle—path stability is broken.

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File URL: http://www.cerge-ei.cz/pdf/wp/Wp293.pdf
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Paper provided by The Center for Economic Research and Graduate Education - Economics Institute, Prague in its series CERGE-EI Working Papers with number wp293.

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Date of creation: Mar 2006
Handle: RePEc:cer:papers:wp293
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  1. McDonald, James B & Ransom, Michael R, 1979. "Functional Forms, Estimation Techniques and the Distribution of Income," Econometrica, Econometric Society, vol. 47(6), pages 1513-1525, November.
  2. Juan C. Ferrero, 2003. "The statistical distribution of money and the rate of money transference," Papers cond-mat/0306322, arXiv.org.
  3. Jang-Ting Guo & Sharon G. Harrison, 2001. "Tax Policy and Stability in a Model with Sector-Specific Externalities," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 4(1), pages 75-89, January.
  4. Schmitt-Grohe, Stephanie & Uribe, Martin, 1997. "Balanced-Budget Rules, Distortionary Taxes, and Aggregate Instability," Journal of Political Economy, University of Chicago Press, vol. 105(5), pages 976-1000, October.
  5. Robert J. Barro & Xavier Sala-I-Martin, 1992. "Public Finance in Models of Economic Growth," Review of Economic Studies, Oxford University Press, vol. 59(4), pages 645-661.
  6. Slobodyan, Sergey, 2005. "Indeterminacy, sunspots, and development traps," Journal of Economic Dynamics and Control, Elsevier, vol. 29(1-2), pages 159-185, January.
  7. 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.).
  8. Cazzavillan, Guido, 1996. "Public Spending, Endogenous Growth, and Endogenous Fluctuations," Journal of Economic Theory, Elsevier, vol. 71(2), pages 394-415, November.
  9. Jess Benhabib & Roger E.A. Farmer, 1992. "Indeterminacy and Increasing Returns," UCLA Economics Working Papers 646, UCLA Department of Economics.
  10. Wen, Yi, 1998. "Capacity Utilization under Increasing Returns to Scale," Journal of Economic Theory, Elsevier, vol. 81(1), pages 7-36, July.
  11. Bennett, Rosalind L. & Farmer, Roger E. A., 2000. "Indeterminacy with Non-separable Utility," Journal of Economic Theory, Elsevier, vol. 93(1), pages 118-143, July.
  12. Laitner, John & Stolyarov, Dmitriy, 2004. "Aggregate returns to scale and embodied technical change: theory and measurement using stock market data," Journal of Monetary Economics, Elsevier, vol. 51(1), pages 191-233, January.
  13. Guo, Jang-Ting, 1999. "Multiple equilibria and progressive taxation of labor income," Economics Letters, Elsevier, vol. 65(1), pages 97-103, October.
  14. Weder, Mark, 1999. "Indeterminacy in the small open economy Ramsey growth model," SFB 373 Discussion Papers 1999,30, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
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