IDEAS home Printed from https://ideas.repec.org/p/mpg/wpaper/2005_27.html
   My bibliography  Save this paper

The Undesirability of Randomized Income Taxation under Decreasing Risk Aversion

Author

Listed:
  • Martin Hellwig

    (Max Planck Institute for Research on Collective Goods, Bonn)

Abstract

For the standard specification of the utilitarian optimal income tax problem with hidden characteristics, the paper shows that randomized tax schemes are undesirable if preferences exhibit a property of weakly decreasing risk aversion according to the multidimensional risk aversion concept of Hellwig (2004). The property of decreasing risk aversion also implies uniqueness of the optimal income tax schedule and continuity in cases where the type distribution has a continuous density.

Suggested Citation

  • Martin Hellwig, 2005. "The Undesirability of Randomized Income Taxation under Decreasing Risk Aversion," Discussion Paper Series of the Max Planck Institute for Research on Collective Goods 2005_27, Max Planck Institute for Research on Collective Goods.
  • Handle: RePEc:mpg:wpaper:2005_27
    as

    Download full text from publisher

    File URL: http://www.coll.mpg.de/pdf_dat/2005_27online.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Hellwig, Martin F., 2007. "A contribution to the theory of optimal utilitarian income taxation," Journal of Public Economics, Elsevier, vol. 91(7-8), pages 1449-1477, August.
    2. Matthews, Steven & Moore, John, 1987. "Monopoly Provision of Quality and Warranties: An Exploration in the Theory of Multidimensional Screening," Econometrica, Econometric Society, vol. 55(2), pages 441-467, March.
    3. Hellwig, Martin, 2004. "Risk aversion in the small and in the large when outcomes are multidimensional," Papers 04-22, Sonderforschungsbreich 504.
    4. Stiglitz, Joseph E., 1987. "Pareto efficient and optimal taxation and the new new welfare economics," Handbook of Public Economics, in: A. J. Auerbach & M. Feldstein (ed.), Handbook of Public Economics, edition 1, volume 2, chapter 15, pages 991-1042, Elsevier.
    5. Guesnerie,Roger, 1998. "A Contribution to the Pure Theory of Taxation," Cambridge Books, Cambridge University Press, number 9780521629560, September.
    6. Kihlstrom, Richard E. & Mirman, Leonard J., 1974. "Risk aversion with many commodities," Journal of Economic Theory, Elsevier, vol. 8(3), pages 361-388, July.
    7. Brito, Dagobert L. & Hamilton, Jonathan H. & Slutsky, Steven M. & Stiglitz, Joseph E., 1995. "Randomization in optimal income tax schedules," Journal of Public Economics, Elsevier, vol. 56(2), pages 189-223, February.
    8. Weiss, Laurence, 1976. "The Desirability of Cheating Incentives and Randomness in the Optimal Income Tax," Journal of Political Economy, University of Chicago Press, vol. 84(6), pages 1343-1352, December.
    9. Milgrom, Paul & Shannon, Chris, 1994. "Monotone Comparative Statics," Econometrica, Econometric Society, vol. 62(1), pages 157-180, January.
    10. Stiglitz, Joseph E., 1982. "Self-selection and Pareto efficient taxation," Journal of Public Economics, Elsevier, vol. 17(2), pages 213-240, March.
    11. Maskin, Eric S & Riley, John G, 1984. "Optimal Auctions with Risk Averse Buyers," Econometrica, Econometric Society, vol. 52(6), pages 1473-1518, November.
    12. Mirrlees, J. A., 1976. "Optimal tax theory : A synthesis," Journal of Public Economics, Elsevier, vol. 6(4), pages 327-358, November.
    13. 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.
    14. Peter J. Hammond, 1979. "Straightforward Individual Incentive Compatibility in Large Economies," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 46(2), pages 263-282.
    15. Weibull, Jorgen W., 1989. "A note on the continuity of incentive schedules," Journal of Public Economics, Elsevier, vol. 39(2), pages 239-243, July.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Stéphane Gauthier & Guy Laroque, 2022. "Optimal Random Taxation and Redistribution," SciencePo Working papers Main hal-03915336, HAL.
    2. Casey Rothschild & Florian Scheuer, 2014. "A Theory of Income Taxation under Multidimensional Skill Heterogeneity," NBER Working Papers 19822, National Bureau of Economic Research, Inc.
    3. 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.
    4. Martin F. Hellwig, 2010. "Utilitarian mechanism design for an excludable public good," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 44(3), pages 361-397, September.
    5. Matthias Lang, 2023. "Stochastic contracts and subjective evaluations," RAND Journal of Economics, RAND Corporation, vol. 54(1), pages 104-134, March.
    6. Stéphane Gauthier & Guy Laroque, 2021. "Certainty Equivalence and Noisy Redistribution," SciencePo Working papers Main halshs-03359574, HAL.
    7. Laurence Ales & Kurnaz Musab & Sleet Christopher, "undated". "Task, Talent, and Taxes," GSIA Working Papers 2014-E16, Carnegie Mellon University, Tepper School of Business.
    8. Hellwig, Martin F., 2007. "A contribution to the theory of optimal utilitarian income taxation," Journal of Public Economics, Elsevier, vol. 91(7-8), pages 1449-1477, August.
    9. Johanna Hey & Schreiber,Ulrich & Fabian Pönnighaus & Felix Bierbrauer, 2013. "Steueroasen und »legale Steuervermeidung«: Wie kann größere Steuergerechtigkeit erreicht werden?," ifo Schnelldienst, ifo Institute - Leibniz Institute for Economic Research at the University of Munich, vol. 66(11), pages 03-13, June.
    10. Gauthier, Stéphane & Laroque, Guy, 2014. "On the value of randomization," Journal of Economic Theory, Elsevier, vol. 151(C), pages 493-507.
    11. Hakenes, Hendrik & Schnabel, Isabel, 2006. "The Threat of Capital Drain: A Rationale for Public Banks?," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 107, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
    12. Slemrod, Joel & Traxler, Christian, 2010. "Optimal observability in a linear income tax," Economics Letters, Elsevier, vol. 108(2), pages 105-108, August.
    13. Nolan Miller & Alexander Wagner & Richard Zeckhauser, 2013. "Solomonic separation: Risk decisions as productivity indicators," Journal of Risk and Uncertainty, Springer, vol. 46(3), pages 265-297, June.
    14. Gemmo, Irina & Kubitza, Christian & Rothschild, Casey, 2020. "Constrained efficient equilibria in selection markets with continuous types," Journal of Public Economics, Elsevier, vol. 190(C).
    15. Felix Bierbrauer, 2010. "On the Optimality of Optimal Income Taxation," CESifo Working Paper Series 3163, CESifo.
    16. repec:hal:pseose:hal-00969344 is not listed on IDEAS
    17. Felix J., Bierbrauer, 2011. "On the optimality of optimal income taxation," Journal of Economic Theory, Elsevier, vol. 146(5), pages 2105-2116, September.
    18. Wladislaw Mill & Cornelius Schneider, 2023. "The Bright Side of Tax Evasion," CESifo Working Paper Series 10615, CESifo.
    19. Laurence Ales & Soo‐Haeng Cho & Ersin Körpeoğlu, 2021. "Innovation Tournaments with Multiple Contributors," Production and Operations Management, Production and Operations Management Society, vol. 30(6), pages 1772-1784, June.
    20. Thomas Koch & Javier Birchenall, 2016. "Taking versus taxing: an analysis of conscription in a private information economy," Public Choice, Springer, vol. 167(3), pages 177-199, June.
    21. Tobias Huber & Johannes G. Jaspersen & Andreas Richter & Dennis Strümpel, 2023. "On the change of risk aversion in wealth: a field experiment in a closed economic system," Experimental Economics, Springer;Economic Science Association, vol. 26(1), pages 1-26, March.
    22. Martin Hellwig, 2008. "A Maximum Principle for Control Problems with Monotonicity Constraints," Discussion Paper Series of the Max Planck Institute for Research on Collective Goods 2008_04, Max Planck Institute for Research on Collective Goods.
    23. Gemmo, Irina & Kubitza, Christian & Rothschild, Casey G., 2018. "The existence of the Miyazaki-Wilson-Spence equilibrium with continuous type distributions," ICIR Working Paper Series 32/18, Goethe University Frankfurt, International Center for Insurance Regulation (ICIR).

    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. Hellwig, Martin F., 2007. "A contribution to the theory of optimal utilitarian income taxation," Journal of Public Economics, Elsevier, vol. 91(7-8), pages 1449-1477, August.
    2. Martin Hellwig, 2004. "Optimal Income Taxation, Public-Goods Provision and Public-Sector Pricing: A Contribution to the Foundations of Public Economics," Discussion Paper Series of the Max Planck Institute for Research on Collective Goods 2004_14, Max Planck Institute for Research on Collective Goods.
    3. Robin Boadway, 1998. "The Mirrlees Approach to the Theory of Economic Policy," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 5(1), pages 67-81, February.
    4. Felix Bierbrauer, 2005. "Optimal Income Taxation and Public Good Provision in a Two-Class Economy," Discussion Paper Series of the Max Planck Institute for Research on Collective Goods 2005_25, Max Planck Institute for Research on Collective Goods.
    5. Bierbrauer, Felix, 2006. "Optimal Income Taxation and Public Good Provision in a Two-Class Economy," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 97, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
    6. Hellwig, Martin, 2004. "Risk aversion in the small and in the large when outcomes are multidimensional," Papers 04-22, Sonderforschungsbreich 504.
    7. Brito, Dagobert L. & Hamilton, Jonathan H. & Slutsky, Steven M. & Stiglitz, Joseph E., 1995. "Randomization in optimal income tax schedules," Journal of Public Economics, Elsevier, vol. 56(2), pages 189-223, February.
    8. Mathias Hungerbühler & Etienne Lehmann & Alexis Parmentier & Bruno Van Der Linden, 2006. "Optimal Redistributive Taxation in a Search Equilibrium Model," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 73(3), pages 743-767.
    9. Martin Hellwig, 2010. "Utilitarian mechanism design for an excludable public good," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 44(3), pages 361-397, September.
    10. Stefan Homburg, 2001. "The Optimal Income Tax: Restatement and Extensions," FinanzArchiv: Public Finance Analysis, Mohr Siebeck, Tübingen, vol. 58(4), pages 363-395, November.
    11. Rothschild, Casey, 2019. "Screening with convex menus and optimal flow taxation," Journal of Public Economics, Elsevier, vol. 178(C).
    12. Carlos E. da Costa, 2009. "Yet Another Reason to Tax Goods," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 12(2), pages 363-376, April.
    13. Laurent Simula & Alain Trannoy, 2023. "Bunching in rank-dependent optimal income tax schedules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 60(1), pages 237-263, January.
    14. Felix Bierbrauer, 2009. "Optimal Income Taxation and Public Goods Provision in a Large Economy with Aggregate Uncertainty," CESifo Working Paper Series 2701, CESifo.
    15. Craig Brett & John A. Weymark, 2019. "Optimal nonlinear taxation of income and savings without commitment," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 21(1), pages 5-43, February.
    16. Stiglitz, Joseph E., 2018. "Pareto efficient taxation and expenditures: Pre- and re-distribution," Journal of Public Economics, Elsevier, vol. 162(C), pages 101-119.
    17. 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.
    18. Bierbrauer, Felix & Netzer, Nick, 2016. "Mechanism design and intentions," Journal of Economic Theory, Elsevier, vol. 163(C), pages 557-603.
    19. Oztek, Abdullah Selim, 2019. "A Characterization for Marginal Income Tax Schedules," MPRA Paper 103046, University Library of Munich, Germany, revised 02 Dec 2019.
    20. Slemrod, Joel & Yitzhaki, Shlomo & Mayshar, Joram & Lundholm, Michael, 1994. "The optimal two-bracket linear income tax," Journal of Public Economics, Elsevier, vol. 53(2), pages 269-290, February.

    More about this item

    Keywords

    Optimal Income Taxation; Randomized Incentive Schemes; Nonincreasing Risk Aversion;
    All these keywords.

    JEL classification:

    • H21 - Public Economics - - Taxation, Subsidies, and Revenue - - - Efficiency; Optimal Taxation

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:mpg:wpaper:2005_27. 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: Marc Martin (email available below). General contact details of provider: https://edirc.repec.org/data/mppggde.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.