Monotonic redistribution: Reconciling performance-based allocation and weighted division

Takaaki Abe, Satoshi Nakada

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


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.

Original languageEnglish
Article number1750022
JournalInternational Game Theory Review
Issue number4
Publication statusPublished - 2017 Dec 1


  • Monotonicity
  • Proportional taxation
  • Weighted division

ASJC Scopus subject areas

  • Business and International Management
  • Computer Science(all)
  • Statistics, Probability and Uncertainty


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