IDEAS home Printed from https://ideas.repec.org/p/ags/cudawp/126958.html
   My bibliography  Save this paper

Relativity, Inequality And Optimal Nonlinear Income Taxation

Author

Listed:
  • Kanbur, Ravi
  • Tuomala, Matti

Abstract

How does concern for consumption relative to others (”relativity”) affect the progressivity of the optimal income tax structure? In this paper we revisit this literature and present a more detailed analysis of the solution to the non-linear income tax problem with consumption interdependence than is currently available, generalizing some results and developing other results for cases with special objective functions and special distributions, as well as numerical simulations. Of particular interest for us is the interplay between inequality and relativity in determining the optimal tax schedule. We find support for greater progressivity in the tax structure as relative concern increases. But our numerical calculations show that this incremental impact is less at higher levels of inequality. We also explore what happens when the government does not accept the relative concerns of individuals and maximizes a non-welfarist objective function.

Suggested Citation

  • Kanbur, Ravi & Tuomala, Matti, 2010. "Relativity, Inequality And Optimal Nonlinear Income Taxation," Working Papers 126958, Cornell University, Department of Applied Economics and Management.
    • Handle: RePEc:ags:cudawp:126958
    DOI: 10.22004/ag.econ.126958
    as

    Download full text from publisher

    File URL: https://ageconsearch.umn.edu/record/126958/files/Cornell_Dyson_wp1007.pdf
    Download Restriction: no
    File URL: https://libkey.io/10.22004/ag.econ.126958?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Peter Diamond & Emmanuel Saez, 2011. "The Case for a Progressive Tax: From Basic Research to Policy Recommendations," Journal of Economic Perspectives, American Economic Association, vol. 25(4), pages 165-190, Fall.
    2. Blanchflower, David G. & Oswald, Andrew J., 2004. "Well-being over time in Britain and the USA," Journal of Public Economics, Elsevier, vol. 88(7-8), pages 1359-1386, July.
    3. Andrew E. Clark & Paul Frijters & Michael A. Shields, 2008. "Relative Income, Happiness, and Utility: An Explanation for the Easterlin Paradox and Other Puzzles," Journal of Economic Literature, American Economic Association, vol. 46(1), pages 95-144, March.
    4. Emmanuel Saez & Joel Slemrod & Seth H. Giertz, 2012. "The Elasticity of Taxable Income with Respect to Marginal Tax Rates: A Critical Review," Journal of Economic Literature, American Economic Association, vol. 50(1), pages 3-50, March.
    5. Gruber, Jon & Saez, Emmanuel, 2002. "The elasticity of taxable income: evidence and implications," Journal of Public Economics, Elsevier, vol. 84(1), pages 1-32, April.
    6. Blomquist, N. Soren, 1993. "Interdependent behavior and the effect of taxes," Journal of Public Economics, Elsevier, vol. 51(2), pages 211-218, June.
    7. Mirrlees, J. A., 1976. "Optimal tax theory : A synthesis," Journal of Public Economics, Elsevier, vol. 6(4), pages 327-358, November.
    8. Michael J. Boskin & Eytan Sheshinski, 1978. "Optimal Redistributive Taxation When Individual Welfare Depends upon Relative Income," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 92(4), pages 589-601.
    9. Fredrik Carlsson & Olof Johansson‐Stenman & Peter Martinsson, 2007. "Do You Enjoy Having More than Others? Survey Evidence of Positional Goods," Economica, London School of Economics and Political Science, vol. 74(296), pages 586-598, November.
    10. 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.
    11. James B. McDonald, 2008. "Some Generalized Functions for the Size Distribution of Income," Economic Studies in Inequality, Social Exclusion, and Well-Being, in: Duangkamon Chotikapanich (ed.), Modeling Income Distributions and Lorenz Curves, chapter 3, pages 37-55, Springer.
    12. Atkinson, A. B., 1990. "Public economics and the economic public," European Economic Review, Elsevier, vol. 34(2-3), pages 225-248, May.
    13. 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.
    14. Clark, Andrew E. & Oswald, Andrew J., 1996. "Satisfaction and comparison income," Journal of Public Economics, Elsevier, vol. 61(3), pages 359-381, September.
    15. Rolf Aaberge & Ugo Colombino, 2005. "Designing Optimal Taxes With a Microeconometric Model of Household Labour Supply," Public Economics 0510013, University Library of Munich, Germany.
    16. 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.
    17. Tuomala, Matti, 1990. "Optimal Income Tax and Redistribution," OUP Catalogue, Oxford University Press, number 9780198286059.
    18. Kanbur, Ravi & Tuomala, Matti, 1994. " Inherent Inequality and the Optimal Graduation of Marginal Tax Rates," Scandinavian Journal of Economics, Wiley Blackwell, vol. 96(2), pages 275-282.
    19. Pirttila, Jukka & Tuomala, Matti, 2004. "Poverty alleviation and tax policy," European Economic Review, Elsevier, vol. 48(5), pages 1075-1090, October.
    20. 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.
    21. Erzo F. P. Luttmer, 2005. "Neighbors as Negatives: Relative Earnings and Well-Being," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 120(3), pages 963-1002.
    22. 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.
    23. Sara J. Solnick & David Hemenway, 2005. "Are Positional Concerns Stronger in Some Domains than in Others?," American Economic Review, American Economic Association, vol. 95(2), pages 147-151, May.
    24. 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.
    25. Frank, Robert H, 1997. "The Frame of Reference as a Public Good," Economic Journal, Royal Economic Society, vol. 107(445), pages 1832-1847, November.
    26. Alpizar, Francisco & Carlsson, Fredrik & Johansson-Stenman, Olof, 2005. "How much do we care about absolute versus relative income and consumption?," Journal of Economic Behavior & Organization, Elsevier, vol. 56(3), pages 405-421, March.
    27. Layard, Richard, 1980. "Human Satisfactions and Public Policy," Economic Journal, Royal Economic Society, vol. 90(363), pages 737-750, December.
    28. 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.
    29. 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.
    30. 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.
    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. Thomas Aronsson & Sugata Ghosh & Ronald Wendner, 2023. "Positional preferences and efficiency in a dynamic economy," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 61(2), pages 311-337, August.
    2. Aronsson, Thomas & Johansson-Stenman, Olof, 2021. "A note on optimal taxation, status consumption, and unemployment," Journal of Public Economics, Elsevier, vol. 200(C).
    3. Aronsson, Thomas & Johansson-Stenman, Olof, 2014. "Paternalism against Veblen: Optimal Taxation and Non-Respected Preferences for Social Comparisons," Umeå Economic Studies 901, Umeå University, Department of Economics.
    4. Aronsson, Thomas & Sjögren, Tomas & Yadav, Sonal, 2022. "A Note on Optimal Taxation under Status Consumption and Preferences for Equality," Umeå Economic Studies 1009, Umeå University, Department of Economics.
    5. Thomas Aronsson & Olof Johansson-Stenman, 2014. "When Samuelson Met Veblen Abroad: National and Global Public Good Provision when Social Comparisons Matter," Economica, London School of Economics and Political Science, vol. 81(322), pages 224-243, April.
    6. Sugata Marjit & Lei Yang, 2015. "Accumulation with Malnutrition - The Role of Status Seeking Behavior," Discussion Papers Series 544, School of Economics, University of Queensland, Australia.
    7. Robertas Zubrickas, 2022. "Loss aversion, labor supply, and income taxation," Scandinavian Journal of Economics, Wiley Blackwell, vol. 124(2), pages 579-598, April.
    8. Aronsson, Thomas & Bastani, Spencer & Tayibov, Khayyam, 2021. "Social Exclusion and Optimal Redistribution," Umeå Economic Studies 1004, Umeå University, Department of Economics.
    9. Thomas Aronsson & Olof Johansson-Stenman, 2013. "Veblen’s theory of the leisure class revisited: implications for optimal income taxation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(3), pages 551-578, September.
    10. repec:unu:wpaper:wp2012-58 is not listed on IDEAS
    11. Aronsson, Thomas & Johansson-Stenman, olof, 2013. "State-Variable Public Goods and Social Comparisons over Time," Working Papers in Economics 555, University of Gothenburg, Department of Economics.
    12. Felix FitzRoy & Jim Jin & Michael Nolan, 2023. "Higher tax and less work: reverse “Keep up with the Joneses” and rising inequality," Journal of Economics, Springer, vol. 139(3), pages 177-190, August.
    13. Zubrickas, Robertas, 2023. "The relative income effect and labor supply," Journal of Economic Behavior & Organization, Elsevier, vol. 209(C), pages 176-184.
    14. Flaviana Palmisano, 2024. "Compassion and envy in distributional comparisons," Theory and Decision, Springer, vol. 96(1), pages 153-184, February.
    15. Eren Gürer, 2022. "Rising markups and optimal redistributive taxation," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 29(5), pages 1227-1259, October.
    16. Marjit, Sugata, 2012. "Conflicting Measures of Poverty and Inadequate Saving by the Poor," WIDER Working Paper Series 058, World Institute for Development Economic Research (UNU-WIDER).
    17. Thomas Aronsson & Olof Johansson‐Stenman, 2013. "Conspicuous Leisure: Optimal Income Taxation When Both Relative Consumption and Relative Leisure Matter," Scandinavian Journal of Economics, Wiley Blackwell, vol. 115(1), pages 155-175, January.
    18. Marjit, Sugata & Santra, Sattwik & Hati, Koushik Kumar, 2014. "Does inequality affect the consumption patterns of the poor? – The role of “status seeking” behaviour," MPRA Paper 54118, University Library of Munich, Germany.
    19. Hamid Beladi & Sugata Marjit & Reza Oladi & Lei Yang, 2021. "Malnutrition in the shadow of economic growth," Review of Development Economics, Wiley Blackwell, vol. 25(1), pages 500-514, February.
    20. Sugata Marjit, 2012. "Conflicting Measures of Poverty and Inadequate Saving by the Poor," WIDER Working Paper Series wp-2012-058, World Institute for Development Economic Research (UNU-WIDER).
    21. Martín Leites & Xavier Ramos, 2022. "The Effect of Relative Income Concerns on Life Satisfaction: Relative Deprivation and Loss Aversion," Journal of Happiness Studies, Springer, vol. 23(7), pages 3485-3515, October.
    22. Boadway,Robin & Cuff,Katherine, 2022. "Tax Policy," Cambridge Books, Cambridge University Press, number 9781108949453.
    23. 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.
    24. Oztek, Abdullah Selim, 2013. "Externalities and Optimal Taxation: A Progressive Tax Case," MPRA Paper 104847, University Library of Munich, Germany, revised Sep 2013.

    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. 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.
    2. Aronsson, Thomas & Johansson-Stenman, Olof, 2009. "Conspicuous Leisure: Optimal Income Taxation when both Relative Consumption and Relative Leisure Matter," Umeå Economic Studies 774, Umeå University, Department of Economics.
    3. Thomas Aronsson & Olof Johansson-Stenman, 2013. "Veblen’s theory of the leisure class revisited: implications for optimal income taxation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(3), pages 551-578, September.
    4. Thomas Aronsson & Olof Johansson‐Stenman, 2013. "Conspicuous Leisure: Optimal Income Taxation When Both Relative Consumption and Relative Leisure Matter," Scandinavian Journal of Economics, Wiley Blackwell, vol. 115(1), pages 155-175, January.
    5. 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.
    6. Samano, Daniel, 2009. "Explaining Taxes at the Upper Tail of the Income Distribution: The Role of Utility Interdependence," MPRA Paper 19112, University Library of Munich, Germany.
    7. Thomas Aronsson & Olof Johansson-Stenman, 2014. "When Samuelson Met Veblen Abroad: National and Global Public Good Provision when Social Comparisons Matter," Economica, London School of Economics and Political Science, vol. 81(322), pages 224-243, April.
    8. 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.
    9. 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.
    10. Corazzini, Luca & Esposito, Lucio & Majorano, Francesca, 2012. "Reign in hell or serve in heaven? A cross-country journey into the relative vs absolute perceptions of wellbeing," Journal of Economic Behavior & Organization, Elsevier, vol. 81(3), pages 715-730.
    11. Aronsson, Thomas & Johansson-Stenman, Olof, 2008. "Positional Concerns with Multiple Reference Points: Optimal Income Taxation and Public Goods in an OLG Model," Working Papers in Economics 304, University of Gothenburg, Department of Economics.
    12. 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.
    13. Paul Eckerstorfer, 2014. "Relative Consumption Concerns and the Optimal Tax Mix," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 16(6), pages 936-958, December.
    14. Johansson-Stenman, Olof & Sterner, Thomas, 2015. "Discounting and relative consumption," Journal of Environmental Economics and Management, Elsevier, vol. 71(C), pages 19-33.
    15. Dai, Darong & Gao, Wenzheng & Tian, Guoqiang, 2020. "Relativity, mobility, and optimal nonlinear income taxation in an open economy," Journal of Economic Behavior & Organization, Elsevier, vol. 172(C), pages 57-82.
    16. 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.
    17. 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.
    18. Thomas Aronsson & Sugata Ghosh & Ronald Wendner, 2023. "Positional preferences and efficiency in a dynamic economy," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 61(2), pages 311-337, August.
    19. Alpaslan Akay & Gökhan Karabulut & Peter Martinsson, 2013. "The effect of religiosity and religious festivals on positional concerns -- an experimental investigation of Ramadan," Applied Economics, Taylor & Francis Journals, vol. 45(27), pages 3914-3921, September.
    20. 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.

    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:ags:cudawp:126958. 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: AgEcon Search (email available below). General contact details of provider: https://edirc.repec.org/data/dacorus.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.