IDEAS home Printed from https://ideas.repec.org/p/ces/ceswps/_3342.html
   My bibliography  Save this paper

Pigou Meets Mirrlees: On the Irrelevance of Tax Distortions for the Second-Best Pigouvian Tax

Author

Listed:
  • Bas Jacobs
  • Ruud A. De Mooij

Abstract

This paper extends the Mirrlees (1971) model of optimal income redistribution with optimal corrective taxes to internalize consumption externalities. It is demonstrated that the optimal second-best tax on an externality-generating good should not be corrected for the marginal cost of public funds. The reason is that the marginal cost of public funds equals unity in the optimal tax system, since marginal distortions of taxation are equal to marginal distributional gains. The Pigouvian tax needs to be modified, however, if polluting commodities or environmental quality are more complementary to leisure than non-polluting commodities are.

Suggested Citation

  • Bas Jacobs & Ruud A. De Mooij, 2011. "Pigou Meets Mirrlees: On the Irrelevance of Tax Distortions for the Second-Best Pigouvian Tax," CESifo Working Paper Series 3342, CESifo.
  • Handle: RePEc:ces:ceswps:_3342
    as

    Download full text from publisher

    File URL: https://www.cesifo.org/DocDL/cesifo1_wp3342.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Wildasin, David E, 1984. "On Public Good Provision with Distortionary Taxation," Economic Inquiry, Western Economic Association International, vol. 22(2), pages 227-243, April.
    2. A. Lans Bovenberg & Frederick van der Ploeg, 2002. "Environmental Policy, Public Finance and the Labour Market in a Second-Best World," Chapters, in: Lawrence H. Goulder (ed.), Environmental Policy Making in Economies with Prior Tax Distortions, chapter 6, pages 112-153, Edward Elgar Publishing.
    3. Bertil Holmlund & Ann-Sofie Kolm, 2000. "Environmental Tax Reform in a Small Open Economy With Structural Unemployment," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 7(3), pages 315-333, May.
    4. Ian W.H. Parry & Antonio M. Bento, 2002. "Tax Deductions, Environmental Policy, and the "Double Dividend" Hypothesis," Chapters, in: Lawrence H. Goulder (ed.), Environmental Policy Making in Economies with Prior Tax Distortions, chapter 22, pages 397-426, Edward Elgar Publishing.
    5. Stern,Nicholas, 2007. "The Economics of Climate Change," Cambridge Books, Cambridge University Press, number 9780521700801, October.
    6. de Bovenberg, A Lans & Mooij, Ruud A, 1994. "Environmental Levies and Distortionary Taxation," American Economic Review, American Economic Association, vol. 84(4), pages 1085-1089, September.
    7. Louis Kaplow, 2006. "Optimal Control of Externalities in the Presence of Income Taxation," NBER Working Papers 12339, National Bureau of Economic Research, Inc.
    8. Jacquet, Laurence & Lehmann, Etienne & Van der Linden, Bruno, 2013. "Optimal redistributive taxation with both extensive and intensive responses," Journal of Economic Theory, Elsevier, vol. 148(5), pages 1770-1805.
    9. Jacobs, Bas & de Mooij, Ruud A., 2015. "Pigou meets Mirrlees: On the irrelevance of tax distortions for the second-best Pigouvian tax," Journal of Environmental Economics and Management, Elsevier, vol. 71(C), pages 90-108.
    10. Lawrence H. Goulder & Ian W.H. Parry & Roberton C. Williams III & Dallas Burtraw, 2002. "The Cost-Effectiveness of Alternative Instruments for Environmental Protection in a Second-Best Setting," Chapters, in: Lawrence H. Goulder (ed.), Environmental Policy Making in Economies with Prior Tax Distortions, chapter 27, pages 523-554, Edward Elgar Publishing.
    11. A. Bovenberg, 1999. "Green Tax Reforms and the Double Dividend: an Updated Reader's Guide," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 6(3), pages 421-443, August.
    12. Seade, J. K., 1977. "On the shape of optimal tax schedules," Journal of Public Economics, Elsevier, vol. 7(2), pages 203-235, April.
    13. Erkki Koskela & Ronnie Schöb, 2002. "Alleviating Unemployment: The Case for Green Tax Reforms," Chapters, in: Lawrence H. Goulder (ed.), Environmental Policy Making in Economies with Prior Tax Distortions, chapter 20, pages 355-378, Edward Elgar Publishing.
    14. Bovenberg, A. Lans & Goulder, Lawrence H., 2002. "Environmental taxation and regulation," Handbook of Public Economics, in: A. J. Auerbach & M. Feldstein (ed.), Handbook of Public Economics, edition 1, volume 3, chapter 23, pages 1471-1545, Elsevier.
    15. Bovenberg, A. Lans & van der Ploeg, Frederick, 1996. "Optimal taxation, public goods and environmental policy with involuntary unemployment," Journal of Public Economics, Elsevier, vol. 62(1-2), pages 59-83, October.
    16. Browning, Martin & Meghir, Costas, 1991. "The Effects of Male and Female Labor Supply on Commodity Demands," Econometrica, Econometric Society, vol. 59(4), pages 925-951, July.
    17. Sandmo, Agnar, 2000. "The Public Economics of the Environment," OUP Catalogue, Oxford University Press, number 9780198297987.
    18. Sandmo, Agnar, 1998. "Redistribution and the marginal cost of public funds," Journal of Public Economics, Elsevier, vol. 70(3), pages 365-382, December.
    19. By Louis Kaplow, 2012. "Optimal Control Of Externalities In The Presence Of Income Taxation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 53(2), pages 487-509, May.
    20. Bento, Antonio M. & Jacobsen, Mark, 2007. "Ricardian rents, environmental policy and the `double-dividend' hypothesis," Journal of Environmental Economics and Management, Elsevier, vol. 53(1), pages 17-31, January.
    21. West, Sarah E. & Williams III, Roberton C., 2007. "Optimal taxation and cross-price effects on labor supply: Estimates of the optimal gas tax," Journal of Public Economics, Elsevier, vol. 91(3-4), pages 593-617, April.
    22. Pirttila, Jukka, 2000. "A Many-Person Corlett-Hague Tax Rule with Externalities," Oxford Economic Papers, Oxford University Press, vol. 52(3), pages 595-605, July.
    23. Wilson, John Douglas, 1991. "Optimal Public Good Provision with Limited Lump-Sum Taxation," American Economic Review, American Economic Association, vol. 81(1), pages 153-166, March.
    24. Jukka Pirttilä & Ilpo Suoniemi, 2014. "Public Provision, Commodity Demand, and Hours of Work: An Empirical Analysis," Scandinavian Journal of Economics, Wiley Blackwell, vol. 116(4), pages 1044-1067, October.
    25. Diamond, P. A., 1975. "A many-person Ramsey tax rule," Journal of Public Economics, Elsevier, vol. 4(4), pages 335-342, November.
    26. Rick Van der Ploeg & Bas Jacobs, 2010. "Precautionary Climate Change Policies And Optimal Redistribution," OxCarre Working Papers 049, Oxford Centre for the Analysis of Resource Rich Economies, University of Oxford.
    27. Roberton C. Williams III, 2002. "Environmental Tax Interactions When Pollution Affects Health or Productivity," Chapters, in: Lawrence H. Goulder (ed.), Environmental Policy Making in Economies with Prior Tax Distortions, chapter 13, pages 200-209, Edward Elgar Publishing.
    28. Diamond, Peter A & Mirrlees, James A, 1971. "Optimal Taxation and Public Production: I--Production Efficiency," American Economic Review, American Economic Association, vol. 61(1), pages 8-27, March.
    29. 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.
    30. Jukka Pirttilä & Matti Tuomala, 1997. "Income Tax, Commodity Tax and Environmental Policy," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 4(3), pages 379-393, July.
    31. Don Fullerton & Gilbert E. Metcalf, 2002. "Environmental Controls, Scarcity Rents, and Pre-existing Distortions," Chapters, in: Lawrence H. Goulder (ed.), Environmental Policy Making in Economies with Prior Tax Distortions, chapter 26, pages 504-522, Edward Elgar Publishing.
    32. Helmuth Cremer & Firouz Gahvari & Norbert Ladoux, 2002. "Externalities and Optimal Taxation," Chapters, in: Lawrence H. Goulder (ed.), Environmental Policy Making in Economies with Prior Tax Distortions, chapter 14, pages 210-232, Edward Elgar Publishing.
    33. 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.
    34. Jacobs, Bas & Boadway, Robin, 2014. "Optimal linear commodity taxation under optimal non-linear income taxation," Journal of Public Economics, Elsevier, vol. 117(C), pages 201-210.
    35. Mayeres, Inge & Proost, Stef, 2001. "Marginal tax reform, externalities and income distribution," Journal of Public Economics, Elsevier, vol. 79(2), pages 343-363, February.
    36. Ian W.H. Parry, 2002. "Pollution Taxes and Revenue Reycling," Chapters, in: Lawrence H. Goulder (ed.), Environmental Policy Making in Economies with Prior Tax Distortions, chapter 15, pages 235-248, Edward Elgar Publishing.
    37. Ebert, Udo, 1992. "A reexamination of the optimal nonlinear income tax," Journal of Public Economics, Elsevier, vol. 49(1), pages 47-73, October.
    38. Micheletto, Luca, 2008. "Redistribution and optimal mixed taxation in the presence of consumption externalities," Journal of Public Economics, Elsevier, vol. 92(10-11), pages 2262-2274, October.
    39. Tuomala, Matti, 1984. "On the optimal income taxation : Some further numerical results," Journal of Public Economics, Elsevier, vol. 23(3), pages 351-366, April.
    40. Diamond, Peter A, 1998. "Optimal Income Taxation: An Example with a U-Shaped Pattern of Optimal Marginal Tax Rates," American Economic Review, American Economic Association, vol. 88(1), pages 83-95, March.
    41. (IFS), Institute for Fiscal Studies (ed.), 2010. "Dimensions of Tax Design: The Mirrlees Review," OUP Catalogue, Oxford University Press, number 9780199553754.
    42. W. J. Corlett & D. C. Hague, 1953. "Complementarity and the Excess Burden of Taxation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 21(1), pages 21-30.
    43. Jenny Ligthart & Frederick Van Der Ploeg, 1999. "Environmental Policy, Tax Incidence, and the Cost of Public Funds," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 13(2), pages 187-207, March.
    44. Lawrence H. Goulder & Ian W.H. Parry & Dallas Burtraw, 2002. "Revenue-Raising versus Other Approaches to Environmental Protection: The Critical Significance of Preexisting Tax Distortions," Chapters, in: Lawrence H. Goulder (ed.), Environmental Policy Making in Economies with Prior Tax Distortions, chapter 24, pages 447-470, Edward Elgar Publishing.
    45. Gauthier, Stéphane & Laroque, Guy, 2009. "Separability and public finance," Journal of Public Economics, Elsevier, vol. 93(11-12), pages 1168-1174, December.
    46. Mirrlees, J. A., 1976. "Optimal tax theory : A synthesis," Journal of Public Economics, Elsevier, vol. 6(4), pages 327-358, November.
    47. Laroque, Guy R., 2005. "Indirect taxation is superfluous under separability and taste homogeneity: a simple proof," Economics Letters, Elsevier, vol. 87(1), pages 141-144, April.
    48. Saez, Emmanuel, 2002. "The desirability of commodity taxation under non-linear income taxation and heterogeneous tastes," Journal of Public Economics, Elsevier, vol. 83(2), pages 217-230, February.
    49. 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.
    50. Ruud de Mooij & A. Bovenberg, 1998. "Environmental Taxes, International Capital Mobility and Inefficient Tax Systems: Tax Burden vs. Tax Shifting," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 5(1), pages 7-39, February.
    51. Pearce, David W, 1991. "The Role of Carbon Taxes in Adjusting to Global Warming," Economic Journal, Royal Economic Society, vol. 101(407), pages 938-948, July.
    52. Bovenberg, A.L. & van der Ploeg, F., 1994. "Consequences of environmental tax reform for involuntary unemployment and welfare," Other publications TiSEM 39a30049-14fe-4ca3-b361-0, Tilburg University, School of Economics and Management.
    53. Laurence Jacquet & Etienne Lehmann & Bruno van Der Linden, 2013. "The Optimal Marginal Tax Rates with both Extensive and Intensive Responses," Post-Print hal-02979440, HAL.
    54. Don Fullerton & Andrew Leicester & Stephen Smith, 2008. "Environmental Taxes," NBER Working Papers 14197, National Bureau of Economic Research, Inc.
    55. Lawrence Goulder, 1995. "Environmental taxation and the double dividend: A reader's guide," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 2(2), pages 157-183, August.
    56. 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.
    57. Liu, Antung Anthony, 2013. "Tax evasion and optimal environmental taxes," Journal of Environmental Economics and Management, Elsevier, vol. 66(3), pages 656-670.
    58. Emmanuel Saez, 2001. "Using Elasticities to Derive Optimal Income Tax Rates," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 68(1), pages 205-229.
    59. Atkinson, A. B. & Stiglitz, J. E., 1976. "The design of tax structure: Direct versus indirect taxation," Journal of Public Economics, Elsevier, vol. 6(1-2), pages 55-75.
    60. Diamond, Peter A & Mirrlees, James A, 1971. "Optimal Taxation and Public Production II: Tax Rules," American Economic Review, American Economic Association, vol. 61(3), pages 261-278, June.
    61. Efraim Sadka, 1976. "On Income Distribution, Incentive Effects and Optimal Income Taxation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 43(2), pages 261-267.
    62. Don Fullerton & Gilbert E. Metcalf, 1997. "Environmental Taxes and the Double Dividends Hypothesis: Did You Really Expect Something for Nothing?," Discussion Papers Series, Department of Economics, Tufts University 9706, Department of Economics, Tufts University.
    63. Feldstein, Martin S, 1972. "Distributional Equity and the Optimal Structure of Public Prices," American Economic Review, American Economic Association, vol. 62(1), pages 32-36, March.
    64. Gary S. Becker, 1983. "A Theory of Competition Among Pressure Groups for Political Influence," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 98(3), pages 371-400.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Jacobs, Bas & van der Ploeg, Frederick, 2019. "Redistribution and pollution taxes with non-linear Engel curves," Journal of Environmental Economics and Management, Elsevier, vol. 95(C), pages 198-226.
    2. Bas (B.) Jacobs & Rick (F.) van der Ploeg, 2017. "Should Pollution Taxes Be Targeted At Income Redistribution?," Tinbergen Institute Discussion Papers 17-070/VI, Tinbergen Institute.
    3. Bas Jacobs, 2010. "The Marginal Cost of Public Funds is One," CESifo Working Paper Series 3250, CESifo.
    4. Bas Jacobs, 2018. "The marginal cost of public funds is one at the optimal tax system," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 25(4), pages 883-912, August.
    5. Bovenberg, A. Lans & Goulder, Lawrence H., 2002. "Environmental taxation and regulation," Handbook of Public Economics, in: A. J. Auerbach & M. Feldstein (ed.), Handbook of Public Economics, edition 1, volume 3, chapter 23, pages 1471-1545, Elsevier.
    6. Jacobs, Bas & Boadway, Robin, 2014. "Optimal linear commodity taxation under optimal non-linear income taxation," Journal of Public Economics, Elsevier, vol. 117(C), pages 201-210.
    7. Stiglitz, Joseph E., 2018. "Pareto efficient taxation and expenditures: Pre- and re-distribution," Journal of Public Economics, Elsevier, vol. 162(C), pages 101-119.
    8. Hoel, Michael, 2008. "Environmental Taxes in an Economy with Distorting Taxes and a Heterogeneous Population," Memorandum 04/2008, Oslo University, Department of Economics.
    9. Odd E. Nygård & John T. Revesz, 2015. "Optimal indirect taxation and the uniformity debate: A review of theoretical results and empirical contributions," Discussion Papers 809, Statistics Norway, Research Department.
    10. Freire-González, Jaume, 2018. "Environmental taxation and the double dividend hypothesis in CGE modelling literature: A critical review," Journal of Policy Modeling, Elsevier, vol. 40(1), pages 194-223.
    11. Philippe Bontems & Estelle Gozlan, 2018. "Trade, environment, and income inequality: An optimal taxation approach," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 20(4), pages 557-581, August.
    12. Ian W. H. Parry, 2003. "Fiscal Interactions and the Case for Carbon Taxes Over Grandfathered Carbon Permits," Oxford Review of Economic Policy, Oxford University Press and Oxford Review of Economic Policy Limited, vol. 19(3), pages 385-399.
    13. Støstad, Morten Nyborg & Cowell, Frank, 2024. "Inequality as an externality: consequences for tax design," LSE Research Online Documents on Economics 123752, London School of Economics and Political Science, LSE Library.
    14. Spencer Bastani & Sebastian Koehne, 2022. "How Should Consumption Be Taxed?," CESifo Working Paper Series 10038, CESifo.
    15. Ronnie Schöb, 2003. "The Double Dividend Hypothesis of Environmental Taxes: A Survey," CESifo Working Paper Series 946, CESifo.
    16. Orlov, Anton & Grethe, Harald & McDonald, Scott, 2013. "Carbon taxation in Russia: Prospects for a double dividend and improved energy efficiency," Energy Economics, Elsevier, vol. 37(C), pages 128-140.
    17. Robin Boadway, 2011. "Viewpoint: Innovations in the theory and practice of redistribution policy," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 44(4), pages 1138-1183, November.
    18. Støstad, Morten Nyborg & Cowell, Frank, 2024. "Inequality as an externality: Consequences for tax design," Journal of Public Economics, Elsevier, vol. 235(C).
    19. John T. Revesz, 2014. "A Numerical Model of Optimal Differentiated Indirect Taxation," Hacienda Pública Española / Review of Public Economics, IEF, vol. 211(4), pages 9-66, December.
    20. Bas Jacobs, 2013. "From Optimal Tax Theory to Applied Tax Policy," FinanzArchiv: Public Finance Analysis, Mohr Siebeck, Tübingen, vol. 69(3), pages 338-389, September.

    More about this item

    Keywords

    marginal cost of public funds; optimal environmental taxation; optimal redistribution; externalities;
    All these keywords.

    JEL classification:

    • D62 - Microeconomics - - Welfare Economics - - - Externalities
    • H21 - Public Economics - - Taxation, Subsidies, and Revenue - - - Efficiency; Optimal Taxation
    • H23 - Public Economics - - Taxation, Subsidies, and Revenue - - - Externalities; Redistributive Effects; Environmental Taxes and Subsidies

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:ces:ceswps:_3342. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Klaus Wohlrabe (email available below). General contact details of provider: https://edirc.repec.org/data/cesifde.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.