Abstract
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 language | English |
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Pages (from-to) | 69-75 |
Number of pages | 7 |
Journal | Mathematical social sciences |
Volume | 103 |
DOIs | |
Publication status | Published - 2020 Jan |
Keywords
- Axiomatization
- Coalition formation
- Coalition structure
- Monotonicity
ASJC Scopus subject areas
- Sociology and Political Science
- Social Sciences(all)
- Psychology(all)
- Statistics, Probability and Uncertainty