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Weak differential monotonicity, flat tax, and basic income

Author

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  • Yokote, Koji
  • Casajus, André

Abstract

We suggest a weak version of differential monotonicity for redistribution rules: whenever the differential of two persons’ income weakly increases, then their post-redistribution rewards essentially change in the same direction. Together with efficiency, non-negativity, and the average property, weak differential monotonicity characterizes redistribution via taxation at a fixed rate and equal distribution of the total tax revenue, i.e., a flat tax and a basic income.

Suggested Citation

  • Yokote, Koji & Casajus, André, 2017. "Weak differential monotonicity, flat tax, and basic income," Economics Letters, Elsevier, vol. 151(C), pages 100-103.
    • Handle: RePEc:eee:ecolet:v:151:y:2017:i:c:p:100-103
    DOI: 10.1016/j.econlet.2016.12.011
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    References listed on IDEAS

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    1. Yves Sprumont, 2008. "Monotonicity and Solidarity Axioms in Economics and Game Theory," Studies in Choice and Welfare, in: Prasanta K. Pattanaik & Koichi Tadenuma & Yongsheng Xu & Naoki Yoshihara (ed.), Rational Choice and Social Welfare, pages 71-94, Springer.
    2. Casajus, André, 2016. "Differentially monotonic redistribution of income," Economics Letters, Elsevier, vol. 141(C), pages 112-115.
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    Citations

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    Cited by:

    1. Koji Yokote & Takumi Kongo & Yukihiko Funaki, 2021. "Redistribution to the less productive: parallel characterizations of the egalitarian Shapley and consensus values," Theory and Decision, Springer, vol. 91(1), pages 81-98, July.
    2. André Casajus & Koji Yokote, 2019. "Weakly differentially monotonic solutions for cooperative games," International Journal of Game Theory, Springer;Game Theory Society, vol. 48(3), pages 979-997, September.
    3. Martínez, Ricardo & Moreno-Ternero, Juan D., 2022. "Laissez-faire or full redistribution?," Economics Letters, Elsevier, vol. 218(C).
    4. Takaaki Abe & Satoshi Nakada, 2017. "Monotonic Redistribution: Reconciling Performance-Based Allocation and Weighted Division," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 19(04), pages 1-14, December.
    5. Zou, Zhengxing & Tan, Zhibin, 2023. "Axiomatizations of convex compromise rules for redistribution of non-negative income," Economics Letters, Elsevier, vol. 229(C).

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    More about this item

    Keywords

    Redistribution; Flat tax; Basic income; Differential monotonicity; Weak differential monotonicity;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • H20 - Public Economics - - Taxation, Subsidies, and Revenue - - - General

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