IDEAS home Printed from https://ideas.repec.org/p/van/wpaper/vuecon-sub-16-00005.html
   My bibliography  Save this paper

Voting over Selfishly Optimal Nonlinear Income Tax Schedules with a Minimum-Utility Constraint

Author

Listed:
  • Craig Brett

    (Mount Allison University)

  • John A Weymark

    (Vanderbilt University)

Abstract

Pairwise majority voting over alternative nonlinear income tax schedules is considered when there is a continuum of individuals who differ in their labor productivities, which is private information, but share the same quasilinear-in-consumption preferences for labor and consumption. Voting is restricted to those schedules that are selfishly optimal for some individual. The analysis extends that of Brett and Weymark (Games and Economic Behavior, forthcoming) by adding a minimum-utility constraint to their incentive-compatibility and government budget constraints. It also extends the analysis of Röell (unpublished manuscript, 2012) and Bohn and Stuart (unpublished manuscript, 2013) by providing a complete characterization of the selfishly optimal tax schedules. It is shown that individuals have single-peaked preferences over the set of selfishly optimal tax schedules, and so the schedule proposed by the median skill type is a Condorcet winner.

Suggested Citation

  • Craig Brett & John A Weymark, 2016. "Voting over Selfishly Optimal Nonlinear Income Tax Schedules with a Minimum-Utility Constraint," Vanderbilt University Department of Economics Working Papers 16-00005, Vanderbilt University Department of Economics.
  • Handle: RePEc:van:wpaper:vuecon-sub-16-00005
    as

    Download full text from publisher

    File URL: http://www.accessecon.com/pubs/VUECON/VUECON-16-00005.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Gans, Joshua S. & Smart, Michael, 1996. "Majority voting with single-crossing preferences," Journal of Public Economics, Elsevier, vol. 59(2), pages 219-237, February.
    2. Brett, Craig & Weymark, John A., 2016. "Voting over selfishly optimal nonlinear income tax schedules with a minimum-utility constraint," Journal of Mathematical Economics, Elsevier, vol. 67(C), pages 18-31.
    3. Noldeke, Georg & Samuelson, Larry, 2007. "Optimal bunching without optimal control," Journal of Economic Theory, Elsevier, vol. 134(1), pages 405-420, May.
    4. De Donder, Philippe & Hindriks, Jean, 2003. "The politics of progressive income taxation with incentive effects," Journal of Public Economics, Elsevier, vol. 87(11), pages 2491-2505, October.
    5. Snyder, James M. & Kramer, Gerald H., 1988. "Fairness, self-interest, and the politics of the progressive income tax," Journal of Public Economics, Elsevier, vol. 36(2), pages 197-230, July.
    6. Bierbrauer, Felix J. & Boyer, Pierre C., 2013. "Political competition and Mirrleesian income taxation: A first pass," Journal of Public Economics, Elsevier, vol. 103(C), pages 1-14.
    7. 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.
    8. Martin F. Hellwig, 2010. "Incentive Problems With Unidimensional Hidden Characteristics: A Unified Approach," Econometrica, Econometric Society, vol. 78(4), pages 1201-1237, July.
    9. Jullien, Bruno, 2000. "Participation Constraints in Adverse Selection Models," Journal of Economic Theory, Elsevier, vol. 93(1), pages 1-47, July.
    10. Sundaram,Rangarajan K., 1996. "A First Course in Optimization Theory," Cambridge Books, Cambridge University Press, number 9780521497701, September.
    11. Ebert, Udo, 1992. "A reexamination of the optimal nonlinear income tax," Journal of Public Economics, Elsevier, vol. 49(1), pages 47-73, October.
    12. Martin J. Osborne & Al Slivinski, 1996. "A Model of Political Competition with Citizen-Candidates," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 111(1), pages 65-96.
    13. Boadway, Robin & Jacquet, Laurence, 2008. "Optimal marginal and average income taxation under maximin," Journal of Economic Theory, Elsevier, vol. 143(1), pages 425-441, November.
    14. Brito, Dagobert L & Oakland, William H, 1977. "Some Properties of the Optimal Income-Tax," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 18(2), pages 407-423, June.
    15. Laurence Jacquet & Robin Boadway, Craig Brett, 2015. "Optimal Nonlinear Income Taxes with Compensation," THEMA Working Papers 2015-15, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
    16. Stigler, George J, 1970. "Director's Law of Public Income Redistribution," Journal of Law and Economics, University of Chicago Press, vol. 13(1), pages 1-10, April.
    17. 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.
    18. Sundaram,Rangarajan K., 1996. "A First Course in Optimization Theory," Cambridge Books, Cambridge University Press, number 9780521497190, September.
    19. John Roemer, 2012. "The political economy of income taxation under asymmetric information: the two-type case," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 3(1), pages 181-199, March.
    20. 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.
    21. Guesnerie, Roger & Laffont, Jean-Jacques, 1984. "A complete solution to a class of principal-agent problems with an application to the control of a self-managed firm," Journal of Public Economics, Elsevier, vol. 25(3), pages 329-369, December.
    22. Roberts, Kevin W. S., 1977. "Voting over income tax schedules," Journal of Public Economics, Elsevier, vol. 8(3), pages 329-340, December.
    23. Meltzer, Allan H & Richard, Scott F, 1981. "A Rational Theory of the Size of Government," Journal of Political Economy, University of Chicago Press, vol. 89(5), pages 914-927, October.
    24. Floris T. Zoutman & Bas Jacobs & Egbert L. W. Jongen, 2016. "Redistributive Politics and the Tyranny of the Middle Class," Tinbergen Institute Discussion Papers 16-032/VI, Tinbergen Institute.
    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. Felix Bierbrauer & Aleh Tsyvinski & Nicolas Werquin, 2022. "Taxes and Turnout: When the Decisive Voter Stays at Home," American Economic Review, American Economic Association, vol. 112(2), pages 689-719, February.
    2. Brett, Craig & Weymark, John A., 2016. "Voting over selfishly optimal nonlinear income tax schedules with a minimum-utility constraint," Journal of Mathematical Economics, Elsevier, vol. 67(C), pages 18-31.
    3. Marcus Berliant & Pierre C. Boyer, 2024. "Politics and income taxes: Progress and progressivity," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 26(4), August.
    4. Felix J. Bierbrauer & Pierre C. Boyer & Andreas Peichl, 2021. "Politically Feasible Reforms of Nonlinear Tax Systems," American Economic Review, American Economic Association, vol. 111(1), pages 153-191, January.
    5. Craig Brett & John A. Weymark, 2018. "Reducing the dimensionality of a selfishly optimal nonlinear income tax problem," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 6(2), pages 157-169, October.
    6. Felix Bierbrauer & Aleh Tsyvinski & Nicolas Werquin, 2021. "Taxes and Turnout: When the Decisive Voter Stays at Home," ECONtribute Discussion Papers Series 071, University of Bonn and University of Cologne, Germany.
    7. Craig Brett & John A. Weymark, 2020. "Majority rule and selfishly optimal nonlinear income tax schedules with discrete skill levels," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 54(2), pages 337-362, March.
    8. Laurence Jacquet & Robin Boadway, Craig Brett, 2015. "Optimal Nonlinear Income Taxes with Compensation," THEMA Working Papers 2015-15, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
    9. Darong Dai, 2020. "Voting over selfishly optimal tax schedules: Can Pigouvian tax redistribute income?," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 22(5), pages 1660-1686, September.
    10. Brett, Craig & Weymark, John A., 2017. "Voting over selfishly optimal nonlinear income tax schedules," Games and Economic Behavior, Elsevier, vol. 101(C), pages 172-188.
    11. Darong Dai & Guoqiang Tian, 2023. "Voting over selfishly optimal income tax schedules with tax-driven migrations," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 60(1), pages 183-235, January.
    12. Felix Bierbrauer & Aleh Tsyvinski & Nicolas Werquin, 2021. "Taxes and Turnout: When the Decisive Voter Stays at Home," CESifo Working Paper Series 8954, CESifo.
    13. Carmen Beviá & Luis Corchón & Antonio Romero-Medina, 2017. "Relinquishing power, exploitation and political unemployment in democratic organizations," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 49(3), pages 735-753, December.

    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. Brett, Craig & Weymark, John A., 2017. "Voting over selfishly optimal nonlinear income tax schedules," Games and Economic Behavior, Elsevier, vol. 101(C), pages 172-188.
    2. Marcus Berliant & Pierre C. Boyer, 2024. "Politics and income taxes: Progress and progressivity," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 26(4), August.
    3. Darong Dai & Guoqiang Tian, 2023. "Voting over selfishly optimal income tax schedules with tax-driven migrations," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 60(1), pages 183-235, January.
    4. Darong Dai, 2020. "Voting over selfishly optimal tax schedules: Can Pigouvian tax redistribute income?," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 22(5), pages 1660-1686, September.
    5. Berliant, Marcus & Gouveia, Miguel, 2022. "On the Political Economy of Nonlinear Income Taxation," MPRA Paper 113140, University Library of Munich, Germany.
    6. Laurence Jacquet & Etienne Lehmann, 2021. "Optimal Income Taxation with Composition Effects," Journal of the European Economic Association, European Economic Association, vol. 19(2), pages 1299-1341.
    7. Craig Brett & John A. Weymark, 2020. "Majority rule and selfishly optimal nonlinear income tax schedules with discrete skill levels," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 54(2), pages 337-362, March.
    8. Berliant, M. & Gouveia, M., 1991. "On Political Economy of Income Taxation," RCER Working Papers 288, University of Rochester - Center for Economic Research (RCER).
    9. 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.
    10. Bierbrauer, Felix J. & Boyer, Pierre C., 2013. "Political competition and Mirrleesian income taxation: A first pass," Journal of Public Economics, Elsevier, vol. 103(C), pages 1-14.
    11. Laurent Simula & Alain Trannoy, 2020. "Bunching and Rank-Dependent Optimal Income Taxation," CESifo Working Paper Series 8443, CESifo.
    12. 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.
    13. Stanley L. Winer & Walter Hettich, 2002. "The Political Economy of Taxation: Positive and Normative Analysis when Collective Choice Matters," Carleton Economic Papers 02-11, Carleton University, Department of Economics, revised 2004.
    14. Felix J. Bierbrauer & Pierre C. Boyer, 2016. "Efficiency, Welfare, and Political Competition," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 131(1), pages 461-518.
    15. George Tridimas & Stanley L. Winer, 2004. "A Contribution to the Political Economy of Government Size: 'Demand', 'Supply' and 'Political Influence'," Carleton Economic Papers 04-04, Carleton University, Department of Economics.
    16. De Donder, Philippe & Hindriks, Jean, 2003. "The politics of progressive income taxation with incentive effects," Journal of Public Economics, Elsevier, vol. 87(11), pages 2491-2505, October.
    17. Jacobs, Bas & Jongen, Egbert L.W. & Zoutman, Floris T., 2017. "Revealed social preferences of Dutch political parties," Journal of Public Economics, Elsevier, vol. 156(C), pages 81-100.
    18. Boadway,Robin & Cuff,Katherine, 2022. "Tax Policy," Cambridge Books, Cambridge University Press, number 9781108949453, September.
    19. Carbonell-Nicolau Oriol, 2009. "A Positive Theory of Income Taxation," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 9(1), pages 1-49, July.
    20. Luna Bellani & Heinrich Ursprung, 2016. "The Political Economy of Redistribution Policy," CESifo Working Paper Series 6189, CESifo.

    More about this item

    Keywords

    Mirrlees tax problem; nonlinear income taxation; political economy of taxation; redistributive taxation; voting over tax schedules;
    All these keywords.

    JEL classification:

    • H2 - Public Economics - - Taxation, Subsidies, and Revenue
    • D7 - Microeconomics - - Analysis of Collective Decision-Making

    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:van:wpaper:vuecon-sub-16-00005. 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: John P. Conley (email available below). General contact details of provider: http://www.vanderbilt.edu/econ/wparchive/index.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.