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One Sector Models, Indeterminacy, and Productive Public Spending

  • 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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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
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Handle: RePEc:cer:papers:wp293
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  1. 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.
  2. Basu, Susanto & Fernald, John G, 1997. "Returns to Scale in U.S. Production: Estimates and Implications," Journal of Political Economy, University of Chicago Press, vol. 105(2), pages 249-83, April.
  3. Benhabib, Jess & Farmer, Roger E.A., 1991. "Indeterminacy and Increasing Returns," Working Papers 91-59, C.V. Starr Center for Applied Economics, New York University.
  4. Juan C. Ferrero, 2003. "The statistical distribution of money and the rate of money transference," Papers cond-mat/0306322, arXiv.org.
  5. Barro, Robert J. & Sala-i-Martin, Xavier, 1992. "Public Finance in Models of Economic Growth," CEPR Discussion Papers 630, C.E.P.R. Discussion Papers.
  6. 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.
  7. McDonald, James B & Ransom, Michael R, 1979. "Functional Forms, Estimation Techniques and the Distribution of Income," Econometrica, Econometric Society, vol. 47(6), pages 1513-25, November.
  8. Guo, Jang-Ting, 1999. "Multiple equilibria and progressive taxation of labor income," Economics Letters, Elsevier, vol. 65(1), pages 97-103, October.
  9. 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.
  10. Wen, Yi, 1998. "Capacity Utilization under Increasing Returns to Scale," Journal of Economic Theory, Elsevier, vol. 81(1), pages 7-36, July.
  11. Sergey Slobodyan, 2002. "Indeterminacy, Sunspots, and Development Traps," Computing in Economics and Finance 2002 255, Society for Computational Economics.
  12. Stephanie Schmitt-Grohe & Martin Uribe, 1995. "Balanced-budget rules, distortionary taxes, and aggregate instability," Finance and Economics Discussion Series 95-44, Board of Governors of the Federal Reserve System (U.S.).
  13. Cazzavillan, Guido, 1996. "Public Spending, Endogenous Growth, and Endogenous Fluctuations," Journal of Economic Theory, Elsevier, vol. 71(2), pages 394-415, November.
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