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Taxation and poverty

Author

Listed:
  • Christopher P. CHAMBERS
  • Juan D. MORENO-TERNERO

Abstract

We explore the implications of four natural axioms in taxation: continuity (small changes in the data of a taxation problem should not lead to large changes in the tax allocation), equal treatment of equals (agents with the same pre-tax incomes pay equal taxes), consistency (the way in which a group allocates a tax burden is immune to secessions of taxpayers) and composition down (an increase in the tax burden is handled according to agents’ current post-tax incomes). The combination of the four axioms characterizes a large family of rules, which we call generalized equal-sacrifice rules, encompassing the so-called equal-sacrifice rules (such as the flat tax), as well as constrained equal-sacrifice rules (such as the head tax), and exogenous poverty-line rules (such as the leveling tax, and some of its possible compromises with the previous ones).
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Suggested Citation

  • Christopher P. CHAMBERS & Juan D. MORENO-TERNERO, 2017. "Taxation and poverty," LIDAM Reprints CORE 2829, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvrp:2829
    Note: In : Social Choice and Welfare, 48(1), 153-175, 2017
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    Citations

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    Cited by:

    1. William Thomson, 2015. "For claims problems, compromising between the proportional and constrained equal awards rules," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 60(3), pages 495-520, November.
    2. Manshu Khanna & Haydar Evren, 2025. "Rosters and connected apportionments," Public Choice, Springer, vol. 202(1), pages 167-191, January.
    3. Chambers, Christopher P. & Moreno-Ternero, Juan D., 2021. "Bilateral redistribution," Journal of Mathematical Economics, Elsevier, vol. 96(C).
    4. 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.
    5. Stovall, John E., 2020. "Equal sacrifice taxation," Games and Economic Behavior, Elsevier, vol. 121(C), pages 55-75.
    6. Andrea Gallice, 2019. "Bankruptcy problems with reference-dependent preferences," International Journal of Game Theory, Springer;Game Theory Society, vol. 48(1), pages 311-336, March.
    7. Long, Yan & Sethuraman, Jay & Xue, Jingyi, 2021. "Equal-quantile rules in resource allocation with uncertain needs," Journal of Economic Theory, Elsevier, vol. 197(C).
    8. Flores-Szwagrzak, Karol & Østerdal, Lars Peter, 2024. "Rationalizing Sharing Rules," Working Papers 17-2024, Copenhagen Business School, Department of Economics.
    9. Flores-Szwagrzak, Karol, 2015. "Priority classes and weighted constrained equal awards rules for the claims problem," Journal of Economic Theory, Elsevier, vol. 160(C), pages 36-55.
    10. Gallo, Oihane & Klaus, Bettina, 2024. "Stable partitions for proportional generalized claims problems," Games and Economic Behavior, Elsevier, vol. 147(C), pages 485-516.
    11. Chakravarty, Satya R. & Sarkar, Palash, 2025. "Balancing inequality reduction against equality of liabilities in a taxation scheme," Journal of Mathematical Economics, Elsevier, vol. 118(C).
    12. Ricardo Martínez & Juan D. Moreno‐Ternero, 2024. "Redistribution with needs," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 26(1), February.
    13. Martínez, Ricardo & Moreno-Ternero, Juan D., 2022. "Laissez-faire or full redistribution?," Economics Letters, Elsevier, vol. 218(C).
    14. Martínez, Ricardo & Moreno-Ternero, Juan D., 2022. "Compensation and sacrifice in the probabilistic rationing of indivisible units," European Journal of Operational Research, Elsevier, vol. 302(2), pages 740-751.
    15. René Brink & Juan D. Moreno-Ternero, 2017. "The reverse TAL-family of rules for bankruptcy problems," Annals of Operations Research, Springer, vol. 254(1), pages 449-465, July.
    16. Bas J. Dietzenbacher & Aleksei Y. Kondratev, 2023. "Fair and Consistent Prize Allocation in Competitions," Management Science, INFORMS, vol. 69(6), pages 3319-3339, June.
    17. Kristoffer Berg & Paolo Giovanni Piacquadio, 2020. "The Equal-Sacrifice Social Welfare Function with an Application to Optimal Income Taxation," CESifo Working Paper Series 8505, CESifo.
    18. D.E. Lapov & I.A. Mayburov, 2020. "Possibilities of Accounting for the Real Tax Burden When Modeling the Scale of Income Taxation," Journal of Applied Economic Research, Graduate School of Economics and Management, Ural Federal University, vol. 19(2), pages 129-148.
    19. William Thomson, 2015. "For claims problems, another compromise between the proportional and constrained equal awards rules," RCER Working Papers 592, University of Rochester - Center for Economic Research (RCER).
    20. Flores-Szwagrzak, Karol & Treibich, Rafael, 2025. "How much can you claim?," Economics Letters, Elsevier, vol. 246(C).

    More about this item

    JEL classification:

    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

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