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Monotonic Redistribution: Reconciling Performance-Based Allocation and Weighted Division

Author

Listed:
  • Takaaki Abe

    (Graduate School of Economics, Waseda University, 1-6-1, Nishi-Waseda, Shinjuku-ku, Tokyo 169-8050, Japan)

  • Satoshi Nakada

    (Graduate School of Economics, Hitotsubashi University, 2-1, Naka, Kunitachi, Tokyo, 186-8601, Japan)

Abstract

We show that a proportional taxation redistribution rule regarding heterogeneity among members of a society is implied by four axioms: efficiency, total wealth monotonicity, contribution monotonicity and additivity. Moreover, we offer another axiomatization with dropping additivity. Our rule is an extension of [Casajus, A. [2015] Monotonic distribution of performance-based allocations: A case for proportional taxation, Theor. Econ. 10, 887–892]’s redistribution rule in which each member of a society is identified only with his/her income.

Suggested Citation

  • 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.
    • Handle: RePEc:wsi:igtrxx:v:19:y:2017:i:04:n:s0219198917500220
    DOI: 10.1142/S0219198917500220
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    References listed on IDEAS

    as
    1. Casajus, André, 2015. "Monotonic redistribution of performance-based allocations: a case for proportional taxation," Theoretical Economics, Econometric Society, vol. 10(3), September.
    2. Casajus, André, 2016. "Differentially monotonic redistribution of income," Economics Letters, Elsevier, vol. 141(C), pages 112-115.
    3. Yokote, Koji & Casajus, André, 2017. "Weak differential monotonicity, flat tax, and basic income," Economics Letters, Elsevier, vol. 151(C), pages 100-103.
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    Cited by:

    1. Takaaki Abe & Satoshi Nakada, 2019. "The weighted-egalitarian Shapley values," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 52(2), pages 197-213, February.

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