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Taxation and Poverty

Author

Listed:
  • Christopher P. Chambers

    (University of California at San Diego)

  • Juan D. Moreno-Ternero

    (U. Pablo de Olavide y CORE, Université catholique de Louvain)

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).

Suggested Citation

  • Christopher P. Chambers & Juan D. Moreno-Ternero, 2015. "Taxation and Poverty," Working Papers 15.05, Universidad Pablo de Olavide, Department of Economics.
    • Handle: RePEc:pab:wpaper:15.05
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    Other versions of this item:

    • 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).

    References listed on IDEAS

    as
    1. Abram Burk, 1936. "Real Income, Expenditure Proportionality, and Frisch's "New Methods of Measuring Marginal Utility"," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 4(1), pages 33-52.
    2. Dagan, Nir & Serrano, Roberto & Volij, Oscar, 1997. "A Noncooperative View of Consistent Bankruptcy Rules," Games and Economic Behavior, Elsevier, vol. 18(1), pages 55-72, January.
    3. John E. Roemer, 1986. "Equality of Resources Implies Equality of Welfare," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 101(4), pages 751-784.
    4. Stovall, John E., 2014. "Asymmetric parametric division rules," Games and Economic Behavior, Elsevier, vol. 84(C), pages 87-110.
    5. Kalai, Ehud, 1977. "Proportional Solutions to Bargaining Situations: Interpersonal Utility Comparisons," Econometrica, Econometric Society, vol. 45(7), pages 1623-1630, October.
    6. Young, H Peyton, 1990. "Progressive Taxation and Equal Sacrifice," American Economic Review, American Economic Association, vol. 80(1), pages 253-266, March.
    7. Hervé Moulin, 2000. "Priority Rules and Other Asymmetric Rationing Methods," Econometrica, Econometric Society, vol. 68(3), pages 643-684, May.
    8. Juan D Moreno-Ternero & John E Roemer, 2006. "Impartiality, Priority, and Solidarity in the Theory of Justice," Econometrica, Econometric Society, vol. 74(5), pages 1419-1427, September.
    9. Diego Dominguez & William Thomson, 2006. "A new solution to the problem of adjudicating conflicting claims," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 28(2), pages 283-307, June.
    10. Chun-Hsien Yeh, 2006. "Protective Properties and the Constrained Equal Awards Rule for Claims Problems: A Note," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 27(2), pages 221-230, October.
    11. Moreno-Ternero, Juan D. & Roemer, John E., 2012. "A common ground for resource and welfare egalitarianism," Games and Economic Behavior, Elsevier, vol. 75(2), pages 832-841.
    12. Youngsub Chun, 1999. "Equivalence of axioms for bankruptcy problems," International Journal of Game Theory, Springer;Game Theory Society, vol. 28(4), pages 511-520.
    13. Thomson, William, 1983. "Problems of fair division and the Egalitarian solution," Journal of Economic Theory, Elsevier, vol. 31(2), pages 211-226, December.
    14. Chambers, Christopher P., 2006. "Asymmetric rules for claims problems without homogeneity," Games and Economic Behavior, Elsevier, vol. 54(2), pages 241-260, February.
    15. Ju, Biung-Ghi & Miyagawa, Eiichi & Sakai, Toyotaka, 2007. "Non-manipulable division rules in claim problems and generalizations," Journal of Economic Theory, Elsevier, vol. 132(1), pages 1-26, January.
    16. Milgrom, Paul & Shannon, Chris, 1994. "Monotone Comparative Statics," Econometrica, Econometric Society, vol. 62(1), pages 157-180, January.
    17. Youngsub Chun, 1999. "Equivalence of Axioms for Bankruptcy Problems," Working Paper Series no1, Institute of Economic Research, Seoul National University.
    18. Chambers, Christopher P. & Thomson, William, 2002. "Group order preservation and the proportional rule for the adjudication of conflicting claims," Mathematical Social Sciences, Elsevier, vol. 44(3), pages 235-252, December.
    19. 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.
    20. Young, H. P., 1988. "Distributive justice in taxation," Journal of Economic Theory, Elsevier, vol. 44(2), pages 321-335, April.
    21. Young, H. P., 1987. "Progressive taxation and the equal sacrifice principle," Journal of Public Economics, Elsevier, vol. 32(2), pages 203-214, March.
    22. Hervé Moulin & Richard Stong, 2002. "Fair Queuing and Other Probabilistic Allocation Methods," Mathematics of Operations Research, INFORMS, vol. 27(1), pages 1-30, February.
    23. Aumann, Robert J. & Maschler, Michael, 1985. "Game theoretic analysis of a bankruptcy problem from the Talmud," Journal of Economic Theory, Elsevier, vol. 36(2), pages 195-213, August.
    24. Plott, Charles R, 1973. "Path Independence, Rationality, and Social Choice," Econometrica, Econometric Society, vol. 41(6), pages 1075-1091, November.
    25. Thomson, William, 2012. "On The Axiomatics Of Resource Allocation: Interpreting The Consistency Principle," Economics and Philosophy, Cambridge University Press, vol. 28(3), pages 385-421, November.
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    Citations

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    Cited by:

    1. Stovall, John E., 2020. "Equal sacrifice taxation," Games and Economic Behavior, Elsevier, vol. 121(C), pages 55-75.
    2. 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.
    3. Oihane Gallo & Bettina Klaus, 2022. "Stable partitions for proportional generalized claims problems," Cahiers de Recherches Economiques du Département d'économie 22.03, Université de Lausanne, Faculté des HEC, Département d’économie.
    4. 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.
    5. Ricardo Martínez & Juan D. Moreno‐Ternero, 2024. "Redistribution with needs," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 26(1), February.
    6. 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.
    7. 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.
    8. Bas J. Dietzenbacher & Aleksei Y. Kondratev, 2023. "Fair and Consistent Prize Allocation in Competitions," Management Science, INFORMS, vol. 69(6), pages 3319-3339, June.
    9. 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.
    10. 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.
    11. 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.
    12. Chambers, Christopher P. & Moreno-Ternero, Juan D., 2021. "Bilateral redistribution," Journal of Mathematical Economics, Elsevier, vol. 96(C).
    13. 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.
    14. Long, Yan & Sethuraman, Jay & Xue, Jingyi, 2021. "Equal-quantile rules in resource allocation with uncertain needs," Journal of Economic Theory, Elsevier, vol. 197(C).
    15. Martínez, Ricardo & Moreno-Ternero, Juan D., 2022. "Laissez-faire or full redistribution?," Economics Letters, Elsevier, vol. 218(C).
    16. 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).

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    More about this item

    Keywords

    taxation; poverty; equal sacrifice; consistency; composition.;
    All these keywords.

    JEL classification:

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

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