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Comparative Statics of Optimal Nonlinear Income Taxation in the Presence of a Publicly Provided Input

Author

Listed:
  • Craig Brett

    (Department of Economics, Mount Allison University)

  • John A. Weymark

    (Department of Economics, Vanderbilt University)

Abstract

Comparative static properties of the solution to an optimal nonlinear income tax problem are provided for a model in which the government both designs a redistributive income tax schedule and provides a public input into a nonlinear production process. These assumptions imply that wage rates are endogenous. The endogeneity of the wages necessitates taking account of general equilibrium effects of changes in the parameters of the model that are not present when the technology is linear.

Suggested Citation

  • Craig Brett & John A. Weymark, 2009. "Comparative Statics of Optimal Nonlinear Income Taxation in the Presence of a Publicly Provided Input," Vanderbilt University Department of Economics Working Papers 0910, Vanderbilt University Department of Economics.
    • Handle: RePEc:van:wpaper:0910
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    References listed on IDEAS

    as
    1. James P. Feehan & Mutsumi Matsumoto, 2000. "Productivity-enhancing public investment and benefit taxation: the case of factor-augmenting public inputs," Canadian Journal of Economics, Canadian Economics Association, vol. 33(1), pages 114-121, February.
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    3. Brett, Craig & Weymark, John A., 2011. "How optimal nonlinear income taxes change when the distribution of the population changes," Journal of Public Economics, Elsevier, vol. 95(11), pages 1239-1247.
    4. Boadway, Robin & Marchand, Maurice, 1995. "The Use of Public Expenditures for Redistributive Purposes," Oxford Economic Papers, Oxford University Press, vol. 47(1), pages 45-59, January.
    5. Naito, Hisahiro, 1999. "Re-examination of uniform commodity taxes under a non-linear income tax system and its implication for production efficiency," Journal of Public Economics, Elsevier, vol. 71(2), pages 165-188, February.
    6. Lollivier, Stefan & Rochet, Jean-Charles, 1983. "Bunching and second-order conditions: A note on optimal tax theory," Journal of Economic Theory, Elsevier, vol. 31(2), pages 392-400, December.
    7. Keen, Michael & Marchand, Maurice, 1997. "Fiscal competition and the pattern of public spending," Journal of Public Economics, Elsevier, vol. 66(1), pages 33-53, October.
    8. Charles Blackorby & Craig Brett, 2004. "Production Efficiency and the Direct‐Indirect Tax Mix," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 6(1), pages 165-180, February.
    9. Brett, Craig & Weymark, John A., 2008. "The impact of changing skill levels on optimal nonlinear income taxes," Journal of Public Economics, Elsevier, vol. 92(7), pages 1765-1771, July.
    10. Boadway, Robin & Keen, Michael, 1993. "Public Goods, Self-Selection and Optimal Income Taxation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 34(3), pages 463-478, August.
    11. Vidar Christiansen, 1981. "Evaluation of Public Projects under Optimal Taxation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 48(3), pages 447-457.
    12. Weymark, John A., 1986. "A reduced-form optimal nonlinear income tax problem," Journal of Public Economics, Elsevier, vol. 30(2), pages 199-217, July.
    13. Jonathan Hamilton & Pierre Pestieau, 2005. "Optimal Income Taxation and the Ability Distribution: Implications for Migration Equilibria," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 12(1), pages 29-45, January.
    14. Laurent Simula, 2010. "Optimal nonlinear income tax and nonlinear pricing: optimality conditions and comparative static properties," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 35(2), pages 199-220, July.
    15. Sandmo, Agnar, 1972. "Optimality rules for the provision of collective factors of production," Journal of Public Economics, Elsevier, vol. 1(1), pages 149-157, April.
    16. Craig Brett & John A. Weymark, 2008. "Public Good Provision And The Comparative Statics Of Optimal Nonlinear Income Taxation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 49(1), pages 255-290, February.
    17. Craig Brett, 2012. "The effects of population aging on optimal redistributive taxes in an overlapping generations model," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 19(6), pages 777-799, December.
    18. Weymark, John A, 1987. "Comparative Static Properties of Optimal Nonlinear Income Taxes," Econometrica, Econometric Society, vol. 55(5), pages 1165-1185, September.
    19. J. A. Mirrlees, 1971. "An Exploration in the Theory of Optimum Income Taxation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 38(2), pages 175-208.
    20. Manning, Richard & Markusen, James R & McMillan, John, 1985. "Paying for Public Inputs," American Economic Review, American Economic Association, vol. 75(1), pages 235-238, March.
    21. Thomas Gaube, 2005. "Public Investment and Income Taxation: Redistribution vs. Productive Performance," Journal of Economics, Springer, vol. 86(1), pages 1-18, October.
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    More about this item

    Keywords

    Asymmetric information; comparative statics; optimal income taxation; publicly provided inputs;
    All these keywords.

    JEL classification:

    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • H21 - Public Economics - - Taxation, Subsidies, and Revenue - - - Efficiency; Optimal Taxation

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