Axiomatizations of coalition aggregation functions

Takaaki Abe

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


We axiomatize Hart and Kurz's (1983) two coalition aggregation functions known as the γ-function and the δ-function. A coalition aggregation function is a mapping that assigns a partition to each profile of coalitions selected by players. Through our axiomatization results, we observe that neither the γ-function nor the δ-function satisfies monotonicity. We propose a monotonic function and axiomatically characterize it.

Original languageEnglish
Pages (from-to)69-75
Number of pages7
JournalMathematical social sciences
Publication statusPublished - 2020 Jan


  • Axiomatization
  • Coalition formation
  • Coalition structure
  • Monotonicity

ASJC Scopus subject areas

  • Sociology and Political Science
  • General Social Sciences
  • General Psychology
  • Statistics, Probability and Uncertainty


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