IDEAS home Printed from https://ideas.repec.org/p/tcr/wpaper/e130.html
   My bibliography  Save this paper

Public good provision financed by nonlinear income tax under reduction of envy

Author

Listed:
  • Takuya Obara
  • Shuichi Tsugawa

Abstract

We examine optimal taxation and public good provision by a government that considers reduction of envy as a constraint. We adopt the extended envy-freeness proposed by Diamantaras and Thomson (1990), called λ-equitability. We derive the modified Samuelson rule under an optimal nonlinear income tax and show, using a constant elasticity of substitution utility function, that the direction of distorting the original Samuelson rule to relax the λ envy-free constraint is crucially determined by the elasticity of substitution. Furthermore, we numerically show that the optimal level of provision increases (decreases) in the degree of envy-freeness when the original Samuelson rule is upwardly (downwardly) distorted.

Suggested Citation

  • Takuya Obara & Shuichi Tsugawa, 2019. "Public good provision financed by nonlinear income tax under reduction of envy," Working Papers e130, Tokyo Center for Economic Research.
  • Handle: RePEc:tcr:wpaper:e130
    as

    Download full text from publisher

    File URL: https://www.tcer.or.jp/wp/pdf/e130.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Kanbur, Ravi & Keen, Michael & Tuomala, Matti, 1994. "Optimal non-linear income taxation for the alleviation of income-poverty," European Economic Review, Elsevier, vol. 38(8), pages 1613-1632, October.
    2. Ravi Kanbur & Jukka Pirttilä & Matti Tuomala, 2006. "Non‐Welfarist Optimal Taxation And Behavioural Public Economics," Journal of Economic Surveys, Wiley Blackwell, vol. 20(5), pages 849-868, December.
    3. Bos, Dieter & Tillmann, Georg, 1985. "An 'Envy Tax': Theoretical Principles and Applications to the German Surcharge on the Rich," Public Finance = Finances publiques, , vol. 40(1), pages 35-63.
    4. Alessandro Balestrino, "undated". "Tax Avoidance, Endogenous Social Norms, and the Comparison Income Effect," EPRU Working Paper Series 05-15, Economic Policy Research Unit (EPRU), University of Copenhagen. Department of Economics, revised Dec 2005.
    5. Thomas Aronsson & Olof Johansson-Stenman, 2018. "Paternalism against Veblen: Optimal Taxation and Non-respected Preferences for Social Comparisons," American Economic Journal: Economic Policy, American Economic Association, vol. 10(1), pages 39-76, February.
    6. Michael J. Boskin & Eytan Sheshinski, 1978. "Optimal Redistributive Taxation When Individual Welfare Depends upon Relative Income," The Quarterly Journal of Economics, Oxford University Press, vol. 92(4), pages 589-601.
    7. Robin Boadway & Maurice Marchand & Pierre Pestieau & María Del Mar Racionero, 2002. "Optimal Redistribution with Heterogeneous Preferences for Leisure," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 4(4), pages 475-498, October.
    8. 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.
    9. Besley, Timothy & Coate, Stephen, 1992. "Workfare versus Welfare Incentive Arguments for Work Requirements in Poverty-Alleviation Programs," American Economic Review, American Economic Association, vol. 82(1), pages 249-261, March.
    10. 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.
    11. Samuel Bowles & Yongjin Park, 2005. "Emulation, Inequality, and Work Hours: Was Thorsten Veblen Right?," Economic Journal, Royal Economic Society, vol. 115(507), pages 397-412, November.
    12. Ravi Kanbur & Tuuli Paukkeri & Jukka Pirttilä & Matti Tuomala, 2018. "Optimal taxation and public provision for poverty reduction," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 25(1), pages 64-98, February.
    13. Varian, Hal R., 1976. "Two problems in the theory of fairness," Journal of Public Economics, Elsevier, vol. 5(3-4), pages 249-260.
    14. Pirttila, Jukka & Tuomala, Matti, 2004. "Poverty alleviation and tax policy," European Economic Review, Elsevier, vol. 48(5), pages 1075-1090, October.
    15. Ravi Kanbur & Matti Tuomala, 2013. "Relativity, Inequality, And Optimal Nonlinear Income Taxation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 54, pages 1199-1217, November.
    16. Besley, Timothy, 1988. "A simple model for merit good arguments," Journal of Public Economics, Elsevier, vol. 35(3), pages 371-383, April.
    17. Diamantaras, Dimitrios & Thomson, William, 1990. "A refinement and extension of the no-envy concept," Economics Letters, Elsevier, vol. 33(3), pages 217-222, July.
    18. Sandmo, Agnar, 1983. "Ex Post Welfare Economics and the Theory of Merit Goods," Economica, London School of Economics and Political Science, vol. 50(197), pages 19-33, February.
    19. Hanming Fang, 2006. "Disentangling The College Wage Premium: Estimating A Model With Endogenous Education Choices," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 47(4), pages 1151-1185, November.
    20. Stern, Nicholas, 1982. "Optimum taxation with errors in administration," Journal of Public Economics, Elsevier, vol. 17(2), pages 181-211, March.
    21. 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.
    22. Velez, Rodrigo A., 2016. "Fairness and externalities," Theoretical Economics, Econometric Society, vol. 11(1), January.
    23. Timothy Besley & Stephen Coate, 1995. "The Design of Income Maintenance Programmes," Review of Economic Studies, Oxford University Press, vol. 62(2), pages 187-221.
    24. Schokkaert, Erik & Van de gaer, Dirk & Vandenbroucke, Frank & Luttens, Roland Iwan, 2004. "Responsibility sensitive egalitarianism and optimal linear income taxation," Mathematical Social Sciences, Elsevier, vol. 48(2), pages 151-182, September.
    25. Donald Bruce & Langchuan Peng, 2018. "Optimal taxation in the presence of income-dependent relative income effects," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 51(2), pages 313-335, August.
    26. Raj Chetty & Adam Guren & Day Manoli & Andrea Weber, 2011. "Are Micro and Macro Labor Supply Elasticities Consistent? A Review of Evidence on the Intensive and Extensive Margins," American Economic Review, American Economic Association, vol. 101(3), pages 471-475, May.
    27. Besley, Timothy J & Kanbur, S M Ravi, 1988. "Food Subsidies and Poverty Alleviation," Economic Journal, Royal Economic Society, vol. 98(392), pages 701-719, September.
    28. Thomas Gaube, 2005. "Financing Public Goods with Income Taxation: Provision Rules vs. Provision Level," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 12(3), pages 319-334, May.
    29. Satoshi Nakada, 2018. "Envy-free allocation of indivisible goods with money and externalities," Economics Bulletin, AccessEcon, vol. 38(1), pages 52-59.
    30. Mirrlees, J. A., 1976. "Optimal tax theory : A synthesis," Journal of Public Economics, Elsevier, vol. 6(4), pages 327-358, November.
    31. Claudia Goldin & Lawrence F. Katz, 2007. "The Race between Education and Technology: The Evolution of U.S. Educational Wage Differentials, 1890 to 2005," NBER Working Papers 12984, National Bureau of Economic Research, Inc.
    32. Racionero, Maria del Mar, 2001. "Optimal Tax Mix with Merit Goods," Oxford Economic Papers, Oxford University Press, vol. 53(4), pages 628-641, October.
    33. Ted O'Donoghue & Matthew Rabin, 2003. "Studying Optimal Paternalism, Illustrated by a Model of Sin Taxes," American Economic Review, American Economic Association, vol. 93(2), pages 186-191, May.
    34. Yukihiro Nishimura, 2003. "Optimal commodity taxation for reduction of envy," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 21(3), pages 501-527, December.
    35. Schroyen, Fred, 2005. "An alternative way to model merit good arguments," Journal of Public Economics, Elsevier, vol. 89(5-6), pages 957-966, June.
    36. Pirttila, Jukka & Tuomala, Matti, 2001. "On optimal non-linear taxation and public good provision in an overlapping generations economy," Journal of Public Economics, Elsevier, vol. 79(3), pages 485-501, March.
    37. Luca Micheletto, 2011. "Optimal Nonlinear Redistributive Taxation and Public Good Provision in an Economy with Veblen Effects," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 13(1), pages 71-96, February.
    38. Nava, M. & Schroyen, F. & Marchand, M., 1996. "Optimal fiscal and public expenditure policy in a two-class economy," LIDAM Reprints CORE 1231, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    39. Persson, Mats, 1995. " Why Are Taxes So High in Egalitarian Societies?," Scandinavian Journal of Economics, Wiley Blackwell, vol. 97(4), pages 569-580, December.
    40. Oswald, Andrew J., 1983. "Altruism, jealousy and the theory of optimal non-linear taxation," Journal of Public Economics, Elsevier, vol. 20(1), pages 77-87, February.
    41. Nava, Mario & Schroyen, Fred & Marchand, Maurice, 1996. "Optimal fiscal and public expenditure policy in a two-class economy," Journal of Public Economics, Elsevier, vol. 61(1), pages 119-137, July.
    42. Ravi Kanbur & Jukka Pirttilä & Matti Tuomala, 2004. "Non-Welfarist Optimal Taxation and Behavioral Public Economics," CESifo Working Paper Series 1291, CESifo.
    43. 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.
    44. Aronsson, Thomas & Johansson-Stenman, Olof, 2008. "When the Joneses' consumption hurts: Optimal public good provision and nonlinear income taxation," Journal of Public Economics, Elsevier, vol. 92(5-6), pages 986-997, June.
    45. Ireland, N. J., 2001. "Optimal income tax in the presence of status effects," Journal of Public Economics, Elsevier, vol. 81(2), pages 193-212, August.
    46. Nishimura, Yukihiro, 2003. "Optimal non-linear income taxation for reduction of envy," Journal of Public Economics, Elsevier, vol. 87(2), pages 363-386, February.
    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. Obara, Takuya & Tsugawa, Shuichi & Managi, Shunsuke, 2019. "Envy-free Pricing for Impure Public Good," CCES Discussion Paper Series 69, Center for Research on Contemporary Economic Systems, Graduate School of Economics, Hitotsubashi University.

    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. Obara, Takuya & Tsugawa, Shuichi & Managi, Shunsuke, 2019. "Envy-free Pricing for Impure Public Good," CCES Discussion Paper Series 69, Center for Research on Contemporary Economic Systems, Graduate School of Economics, Hitotsubashi University.
    2. Aronsson, Thomas & Johansson-Stenman, Olof, 2014. "Paternalism against Veblen: Optimal Taxation and Non-Respected Preferences for Social Comparisons," Working Papers in Economics 606, University of Gothenburg, Department of Economics.
    3. Ravi Kanbur & Jukka Pirttilä & Matti Tuomala, 2006. "Non‐Welfarist Optimal Taxation And Behavioural Public Economics," Journal of Economic Surveys, Wiley Blackwell, vol. 20(5), pages 849-868, December.
    4. Ravi Kanbur & Jukka Pirttilä & Matti Tuomala, 2004. "Non-Welfarist Optimal Taxation and Behavioral Public Economics," CESifo Working Paper Series 1291, CESifo.
    5. Aronsson, Thomas & Johansson-Stenman, Olof, 2014. "State-variable public goods and social comparisons," Journal of Environmental Economics and Management, Elsevier, vol. 68(2), pages 390-410.
    6. Sören Blomquist & Luca Micheletto, 2005. "Optimal Redistributive Taxation when Government’s and Agents’ Preferences Differ," CESifo Working Paper Series 1429, CESifo.
    7. Blomquist, Soren & Micheletto, Luca, 2006. "Optimal redistributive taxation when government's and agents' preferences differ," Journal of Public Economics, Elsevier, vol. 90(6-7), pages 1215-1233, August.
    8. Jukka Pirttilä & Sanna Tenhunen, 2005. "Pawns and Queens Revisited: Public Provision of Private Goods when Individuals make Mistakes," CESifo Working Paper Series 1466, CESifo.
    9. Jukka Pirttilä & Sanna Tenhunen, 2008. "Pawns and queens revisited: public provision of private goods when individuals make mistakes," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 15(5), pages 599-619, October.
    10. Gerritsen, Aart, 2016. "Optimal taxation when people do not maximize well-being," Journal of Public Economics, Elsevier, vol. 144(C), pages 122-139.
    11. Aronsson, Thomas & Johansson-Stenman, Olof, 2014. "Positional preferences in time and space: Optimal income taxation with dynamic social comparisons," Journal of Economic Behavior & Organization, Elsevier, vol. 101(C), pages 1-23.
    12. Yukihiro Nishimura, 2008. "Envy Minimization In The Optimal Tax Context," Working Paper 1178, Economics Department, Queen's University.
    13. Aronsson, Thomas & Johansson-Stenman, Olof, 2015. "Keeping up with the Joneses, the Smiths and the Tanakas: On international tax coordination and social comparisons," Journal of Public Economics, Elsevier, vol. 131(C), pages 71-86.
    14. Luca Micheletto, 2011. "Optimal Nonlinear Redistributive Taxation and Public Good Provision in an Economy with Veblen Effects," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 13(1), pages 71-96, February.
    15. Aronsson, Thomas & Johansson-Stenman, Olof & Wendner, Ronald, 2019. "Charity, Status, and Optimal Taxation: Welfarist and Paternalist Approaches," Umeå Economic Studies 959, Umeå University, Department of Economics.
    16. Pirttila, Jukka & Tuomala, Matti, 2004. "Poverty alleviation and tax policy," European Economic Review, Elsevier, vol. 48(5), pages 1075-1090, October.
    17. Gallice, Andrea, 2018. "Social status, preferences for redistribution and optimal taxation: A survey," Economics - The Open-Access, Open-Assessment E-Journal, Kiel Institute for the World Economy (IfW), vol. 12, pages 1-17.
    18. Aronsson, Thomas & Johansson-Stenman, Olof, 2011. "State-Variable Public Goods When Relative Consumption Matters: A Dynamic Optimal Taxation Approach," Umeå Economic Studies 828, Umeå University, Department of Economics.
    19. Aronsson, Thomas & Johansson-Stenman, Olof, 2008. "When the Joneses' consumption hurts: Optimal public good provision and nonlinear income taxation," Journal of Public Economics, Elsevier, vol. 92(5-6), pages 986-997, June.
    20. Thomas Aronsson & Sugata Ghosh & Ronald Wendner, 2020. "Positional Preferences and Efficiency in a Dynamic Economy," Graz Economics Papers 2020-01, University of Graz, Department of Economics.

    More about this item

    JEL classification:

    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • H21 - Public Economics - - Taxation, Subsidies, and Revenue - - - Efficiency; Optimal Taxation
    • H41 - Public Economics - - Publicly Provided Goods - - - Public Goods

    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:tcr:wpaper:e130. See general information about how to correct material in RePEc.

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

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.