Monotonic redistribution: Reconciling performance-based allocation and weighted division

Takaaki Abe, Satoshi Nakada

Research output: Contribution to journalArticle

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 - 1 Dec 2017



  • Monotonicity
  • Proportional taxation
  • Weighted division

Cite this