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Optimal size of the government: the role of the elasticity of substitution

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  • Manuel Gómez

Abstract

This paper analyzes the optimal fiscal policy in an endogenous growth model with productive public services. Government expenditure, which may be subject to different degrees of congestion, is financed by distortionary income taxation. The standard result on the equality between the growth-maximizing, welfare-maximizing and first-best income tax rates holds if and only if production is Cobb–Douglas or there is proportional congestion. With non-proportional (or in the absence of) congestion, the first-best income tax is lower than the (second-best) welfare-maximizing income tax which, in turn, is lower than the growth-maximizing income tax if the elasticity of substitution is below unity. Under mild conditions these relations are reversed if the elasticity of substitution is above unity. Intuition on these results is also provided. Copyright Springer-Verlag Wien 2014

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  • Manuel Gómez, 2014. "Optimal size of the government: the role of the elasticity of substitution," Journal of Economics, Springer, vol. 111(1), pages 29-53, February.
    • Handle: RePEc:kap:jeczfn:v:111:y:2014:i:1:p:29-53
    DOI: 10.1007/s00712-012-0317-1
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    1. Florian Misch & Norman Gemmell & Richard Kneller, 2013. "Growth and Welfare Maximization in Models of Public Finance and Endogenous Growth," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 15(6), pages 939-967, December.
    2. Xue, Jianpo & Yip, Chong K., 2012. "Factor Substitution And Economic Growth: A Unified Approach," Macroeconomic Dynamics, Cambridge University Press, vol. 16(4), pages 625-656, September.
    3. Gómez, Manuel A., 2004. "Optimal Fiscal Policy In A Growing Economy With Public Capital," Macroeconomic Dynamics, Cambridge University Press, vol. 8(4), pages 419-435, September.
    4. Turnovsky, Stephen J., 1997. "Fiscal Policy In A Growing Economy With Public Capital," Macroeconomic Dynamics, Cambridge University Press, vol. 1(3), pages 615-639, September.
    5. Palivos, Theodore & Karagiannis, Giannis, 2010. "The Elasticity Of Substitution As An Engine Of Growth," Macroeconomic Dynamics, Cambridge University Press, vol. 14(5), pages 617-628, November.
    6. Robert J. Barro & Xavier Sala-I-Martin, 1992. "Public Finance in Models of Economic Growth," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 59(4), pages 645-661.
    7. Azariadis, Costas, 1996. "The Economics of Poverty Traps: Part One: Complete Markets," Journal of Economic Growth, Springer, vol. 1(4), pages 449-496, December.
    8. Devarajan, Shantayanan & Swaroop, Vinaya & Heng-fu, Zou, 1996. "The composition of public expenditure and economic growth," Journal of Monetary Economics, Elsevier, vol. 37(2-3), pages 313-344, April.
    9. Irmen Andreas & Klump Rainer, 2009. "Factor Substitution, Income Distribution and Growth in a Generalized Neoclassical Model," German Economic Review, De Gruyter, vol. 10(4), pages 464-479, December.
    10. Olivier de La Grandville & Rainer Klump, 2000. "Economic Growth and the Elasticity of Substitution: Two Theorems and Some Suggestions," American Economic Review, American Economic Association, vol. 90(1), pages 282-291, March.
    11. Wong, Tsz-Nga & Yip, Chong K., 2010. "Indeterminacy and the elasticity of substitution in one-sector models," Journal of Economic Dynamics and Control, Elsevier, vol. 34(4), pages 623-635, April.
    12. repec:bla:germec:v:10:y:2009:i::p:464-479 is not listed on IDEAS
    13. Turnovsky, Stephen J, 1996. "Fiscal Policy, Adjustment Costs, and Endogenous Growth," Oxford Economic Papers, Oxford University Press, vol. 48(3), pages 361-381, July.
    14. repec:bla:econom:v:67:y:2000:i:267:p:325-46 is not listed on IDEAS
    15. Barro, Robert J, 1990. "Government Spending in a Simple Model of Endogenous Growth," Journal of Political Economy, University of Chicago Press, vol. 98(5), pages 103-126, October.
    16. Sugata Ghosh & Andros Gregoriou, 2008. "The composition of government spending and growth: is current or capital spending better?," Oxford Economic Papers, Oxford University Press, vol. 60(3), pages 484-516, July.
    17. Alberto Bucci & Chiara Del Bo, 2012. "On the interaction between public and private capital in economic growth," Journal of Economics, Springer, vol. 106(2), pages 133-152, June.
    18. 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.
    19. Oliver J. Blanchard, 1997. "The Medium Run," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 28(2), pages 89-158.
    20. Alberto Bucci, 2012. "Public Capital, Private Capital and Economic Growth," Rivista Internazionale di Scienze Sociali, Vita e Pensiero, Pubblicazioni dell'Universita' Cattolica del Sacro Cuore, vol. 120(2), pages 149-180.
    21. Turnovsky, Stephen J., 2002. "Intertemporal and intratemporal substitution, and the speed of convergence in the neoclassical growth model," Journal of Economic Dynamics and Control, Elsevier, vol. 26(9-10), pages 1765-1785, August.
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    Cited by:

    1. Manuel Gómez, 2016. "Factor substitution is an engine of growth in a model with productive public expenditure," Journal of Economics, Springer, vol. 117(1), pages 37-48, January.
    2. Ge Jin, 2022. "Using the primal approach to derive the second‐best rules for different public services in a general competitive growth model," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 24(6), pages 1564-1590, December.
    3. Ge Jin & Bing Zhang, 2024. "Optimal fiscal policy with a balanced-budget restriction: revisiting Chamley and Barro," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 31(2), pages 454-485, April.

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    JEL classification:

    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models
    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth

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