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.
- Coalition formation
- Coalition structure
ASJC Scopus subject areas
- Sociology and Political Science
- Social Sciences(all)
- Statistics, Probability and Uncertainty