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On the equivalence between progressive taxation and inequality reduction

Author

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  • JU, Biung-Ghi
  • MORENO-TERNERO, Juan D.

    (Université catholique de Louvain (UCL). Center for Operations Research and Econometrics (CORE))

Abstract

We establish the precise connections between progressive taxation and inequality reduction, in a setting where the level of tax revenue to be raised is endogenously fixed and tax schemes are balanced. We show that, in contrast with the traditional literature on taxation, the equivalence between inequality reduction and the combination of progressivity and income order preservation does not always hold in this setting. However, we show that, among rules satisfying consistency and, either revenue continuity, or revenue monotonicity, the equivalence remains intact.

Suggested Citation

  • JU, Biung-Ghi & MORENO-TERNERO, Juan D., 2007. "On the equivalence between progressive taxation and inequality reduction," CORE Discussion Papers 2007002, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvco:2007002
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    File URL: http://www.uclouvain.be/cps/ucl/doc/core/documents/coredp2007_2.pdf
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    References listed on IDEAS

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    1. Moulin, Herve, 2002. "Axiomatic cost and surplus sharing," Handbook of Social Choice and Welfare,in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 1, chapter 6, pages 289-357 Elsevier.
    2. Thomson, William, 2003. "Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: a survey," Mathematical Social Sciences, Elsevier, vol. 45(3), pages 249-297, July.
    3. R. A. Musgrave & Tun Thin, 1948. "Income Tax Progression, 1929-48," Journal of Political Economy, University of Chicago Press, vol. 56, pages 498-498.
    4. Young, H. P., 1988. "Distributive justice in taxation," Journal of Economic Theory, Elsevier, vol. 44(2), pages 321-335, April.
    5. Fellman, J, 1976. "The Effect of Transformations on Lorenz Curves," Econometrica, Econometric Society, vol. 44(4), pages 823-824, July.
    6. Kakwani, Nanak C, 1977. "Applications of Lorenz Curves in Economic Analysis," Econometrica, Econometric Society, vol. 45(3), pages 719-727, April.
    7. Thon, Dominique, 1987. "Redistributive properties of progressive taxation," Mathematical Social Sciences, Elsevier, vol. 14(2), pages 185-191, October.
    8. Jakobsson, Ulf, 1976. "On the measurement of the degree of progression," Journal of Public Economics, Elsevier, vol. 5(1-2), pages 161-168.
    9. Eichhorn, Wolfgang & Funke, Helmut & Richter, Wolfram F., 1984. "Tax progression and inequality of income distribution," Journal of Mathematical Economics, Elsevier, vol. 13(2), pages 127-131, October.
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    Citations

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    Cited by:

    1. Yoichi Kasajima & Rodrigo Velez, 2011. "Reflecting inequality of claims in gains and losses," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 46(2), pages 283-295, February.
    2. Biung-Ghi Ju & Juan Moreno-Ternero, 2011. "Progressive and merging-proof taxation," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(1), pages 43-62, February.
    3. Oriol Carbonell-Nicolau & Humberto Llavador, 2018. "Inequality reducing properties of income tax schedules," Economics Working Papers 1595, Department of Economics and Business, Universitat Pompeu Fabra.
    4. Carmen Herrero & Juan Moreno-Ternero & Giovanni Ponti, 2010. "On the adjudication of conflicting claims: an experimental study," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 34(1), pages 145-179, January.
    5. Thomson, William, 2015. "Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: An update," Mathematical Social Sciences, Elsevier, vol. 74(C), pages 41-59.
    6. Llavador, Humberto & Carbonell-Nicolau, Oriol, 2018. "Inequality reducing properties of progressive income tax schedules: the case of endogenous income," Theoretical Economics, Econometric Society, vol. 13(1), January.
    7. JU, Biung-Ghi & MORENO-TERNERO, Juan D., 2006. "Progressivity, inequality reduction and merging-proofness in taxation," CORE Discussion Papers 2006075, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    8. repec:spr:series:v:8:y:2017:i:2:d:10.1007_s13209-016-0151-8 is not listed on IDEAS
    9. Kasajima, Yoichi & Velez, Rodrigo A., 2010. "Non-proportional inequality preservation in gains and losses," Journal of Mathematical Economics, Elsevier, vol. 46(6), pages 1079-1092, November.
    10. Oriol Carbonell-Nicolau & Humberto Llavador, 2018. "Further Results on the Inequality Reducing Properties of Income Tax Schedules," Departmental Working Papers 201801, Rutgers University, Department of Economics.
    11. Wulf Gaertner & Lars Schwettmann, 2017. "Burden sharing in deficit countries: a questionnaire-experimental investigation," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 8(2), pages 113-144, June.
    12. Lambert Peter J. & Thoresen Thor O., 2012. "The Inequality Effects of a Dual Income Tax System," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 12(1), pages 1-17, July.
    13. Kristof Bosmans & Erik Schokkaert, 2009. "Equality preference in the claims problem: a questionnaire study of cuts in earnings and pensions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 33(4), pages 533-557, November.

    More about this item

    Keywords

    progressivity; inequality reduction; income order preservation; consistency; taxation;

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General
    • H20 - Public Economics - - Taxation, Subsidies, and Revenue - - - General

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