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Using the primal approach to derive the second‐best rules for different public services in a general competitive growth model

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  • Ge Jin

Abstract

In this paper we establish a general competitive growth model which includes public consumption services and public productive services, which are financed by capital and labor income taxes. By using the primal approach, we derive the second‐best rules for both types of public services and compare them with the conventional first‐best rules. Particularly, we find that the second‐best rule for public consumption generally differs from the conventional rule due to distortionary taxation. Whether the conventional rule represents an under‐ or over‐supply of public consumption depends on the form of preference. Finally, by solving a specific example theoretically and numerically, we show that the absolute difference of the first‐ and second‐best ratios of public‐to‐private consumption increases with an increase in distorting taxes as long as the two ratios differ.

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  • 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.
    • Handle: RePEc:bla:jpbect:v:24:y:2022:i:6:p:1564-1590
    DOI: 10.1111/jpet.12614
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    1. Economides, George & Park, Hyun & Philippopoulos, Apostolis, 2011. "How Should The Government Allocate Its Tax Revenues Between Productivity-Enhancing And Utility-Enhancing Public Goods?," Macroeconomic Dynamics, Cambridge University Press, vol. 15(3), pages 336-364, June.
    2. Chari, V.V. & Kehoe, Patrick J., 1999. "Optimal fiscal and monetary policy," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 26, pages 1671-1745, Elsevier.
    3. Gervais, Martin & Mennuni, Alessandro, 2015. "Optimal fiscal policy in the neoclassical growth model revisited," European Economic Review, Elsevier, vol. 73(C), pages 1-17.
    4. Park, Hyun & Philippopoulos, Apostolis, 2003. "On the dynamics of growth and fiscal policy with redistributive transfers," Journal of Public Economics, Elsevier, vol. 87(3-4), pages 515-538, March.
    5. Chari, V V & Christiano, Lawrence J & Kehoe, Patrick J, 1991. "Optimal Fiscal and Monetary Policy: Some Recent Results," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 23(3), pages 519-539, August.
    6. Chari, V V & Christiano, Lawrence J & Kehoe, Patrick J, 1994. "Optimal Fiscal Policy in a Business Cycle Model," Journal of Political Economy, University of Chicago Press, vol. 102(4), pages 617-652, August.
    7. 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.
    8. repec:bla:scandj:v:95:y:1993:i:4:p:607-25 is not listed on IDEAS
    9. Chamley, Christophe, 1986. "Optimal Taxation of Capital Income in General Equilibrium with Infinite Lives," Econometrica, Econometric Society, vol. 54(3), pages 607-622, May.
    10. Been-Lon Chen, 2006. "Economic growth with an optimal public spending composition," Oxford Economic Papers, Oxford University Press, vol. 58(1), pages 123-136, January.
    11. J. E. Stiglitz & P. Dasgupta, 1971. "Differential Taxation, Public Goods, and Economic Efficiency," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 38(2), pages 151-174.
    12. Turnovsky, Stephen J., 2000. "Fiscal policy, elastic labor supply, and endogenous growth," Journal of Monetary Economics, Elsevier, vol. 45(1), pages 185-210, February.
    13. Judd, Kenneth L., 1985. "Redistributive taxation in a simple perfect foresight model," Journal of Public Economics, Elsevier, vol. 28(1), pages 59-83, October.
    14. Turnovsky, Stephen J. & Fisher, Walter H., 1995. "The composition of government expenditure and its consequences for macroeconomic performance," Journal of Economic Dynamics and Control, Elsevier, vol. 19(4), pages 747-786, May.
    15. A. B. Atkinson & N. H. Stern, 1974. "Pigou, Taxation and Public Goods," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 41(1), pages 119-128.
    16. Hyun Park, 2009. "Ramsey fiscal policy and endogenous growth," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 39(3), pages 377-398, June.
    17. Atkinson, A. B. & Stiglitz, J. E., 1972. "The structure of indirect taxation and economic efficiency," Journal of Public Economics, Elsevier, vol. 1(1), pages 97-119, April.
    18. Lucas, Robert Jr. & Stokey, Nancy L., 1983. "Optimal fiscal and monetary policy in an economy without capital," Journal of Monetary Economics, Elsevier, vol. 12(1), pages 55-93.
    19. 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.
    20. Santanu Chatterjee & Sugata Ghosh, 2011. "The dual nature of public goods and congestion: the role of fiscal policy revisited," Canadian Journal of Economics, Canadian Economics Association, vol. 44(4), pages 1471-1496, November.
    21. Park, Hyun & Philippopoulos, Apostolis, 2004. "Indeterminacy and fiscal policies in a growing economy," Journal of Economic Dynamics and Control, Elsevier, vol. 28(4), pages 645-660, January.
    22. 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.
    23. Jones, Larry E & Manuelli, Rodolfo E & Rossi, Peter E, 1993. "Optimal Taxation in Models of Endogenous Growth," Journal of Political Economy, University of Chicago Press, vol. 101(3), pages 485-517, June.
    24. Gahvari, Firouz, 2006. "On the marginal cost of public funds and the optimal provision of public goods," Journal of Public Economics, Elsevier, vol. 90(6-7), pages 1251-1262, August.
    25. Turnovsky, Stephen J., 1996. "Optimal tax, debt, and expenditure policies in a growing economy," Journal of Public Economics, Elsevier, vol. 60(1), pages 21-44, April.
    26. 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.
    27. Charles L. Ballard & Don Fullerton, 1992. "Distortionary Taxes and the Provision of Public Goods," Journal of Economic Perspectives, American Economic Association, vol. 6(3), pages 117-131, Summer.
    28. Lucas, Robert E, Jr, 1990. "Supply-Side Economics: An Analytical Review," Oxford Economic Papers, Oxford University Press, vol. 42(2), pages 293-316, April.
    29. Park, Hyun & Philippopoulos, Apostolis, 2002. "Dynamics Of Taxes, Public Services, And Endogenous Growth," Macroeconomic Dynamics, Cambridge University Press, vol. 6(2), pages 187-201, April.
    30. Jones, Larry E. & Manuelli, Rodolfo E. & Rossi, Peter E., 1997. "On the Optimal Taxation of Capital Income," Journal of Economic Theory, Elsevier, vol. 73(1), pages 93-117, March.
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    1. 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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