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Procedural fairness and redistributive proportional tax

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  • P. Herings
  • Arkadi Predtetchinski

Abstract

We study the implications of procedural fairness on the share of income that should be redistributed. We formulate procedural fairness as a particular non-cooperative bargaining game and examine the stationary subgame perfect equilibria of the game. The equilibrium outcome is called tax equilibrium and is shown to be unique. The procedurally fair tax rate is defined as the tax rate that results in the limit of tax equilibria when the probability that negotiations break down converges to zero. The procedurally fair tax rate is shown to be unique. We also provide a characterization of the procedurally fair tax rate that involves the probability mass of below average income citizens and a particular measure of the citizens’ boldness. This characterization is then used to show that in a number of interesting cases, the procedurally fair tax rate equals the probability mass of below average income citizens. Copyright Springer-Verlag Berlin Heidelberg 2015

Suggested Citation

  • P. Herings & Arkadi Predtetchinski, 2015. "Procedural fairness and redistributive proportional tax," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 59(2), pages 333-354, June.
  • Handle: RePEc:spr:joecth:v:59:y:2015:i:2:p:333-354
    DOI: 10.1007/s00199-014-0852-9
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    References listed on IDEAS

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    Cited by:

    1. Giri Parameswaran & Hunter Rendleman, 2022. "Redistribution under general decision rules," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 24(1), pages 159-196, February.
    2. Rodriguez-Lara, Ismael, 2016. "Equity and bargaining power in ultimatum games," Journal of Economic Behavior & Organization, Elsevier, vol. 130(C), pages 144-165.
    3. Makoto Hanazono & Yasutora Watanabe, 2018. "Equity bargaining with common value," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 65(2), pages 251-292, March.

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    More about this item

    Keywords

    Procedural fairness; Tax rate; Bargaining; C78; D63; H24;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • H24 - Public Economics - - Taxation, Subsidies, and Revenue - - - Personal Income and Other Nonbusiness Taxes and Subsidies

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