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Relativity, Inequality And Optimal Nonlinear Income Taxation

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  • 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
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    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. repec:bla:scandj:v:96:y:1994:i:2:p:275-82 is not listed on IDEAS
    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. repec:bla:econom:v:50:y:1983:i:197:p:19-33 is not listed on IDEAS
    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.
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