TY - JOUR
T1 - Axiomatizations of coalition aggregation functions
AU - Abe, Takaaki
N1 - Funding Information:
The author is grateful to two anonymous reviewers and the editor for their valuable comments and suggestions. The author thanks Yukihiko Funaki and Yukio Koriyama for helpful comments and gratefully acknowledges the financial support from JSPS, Japan Grant-in-Aid for Research Activity Start-up (No. 19K23206) and Waseda Univeristy, Japan Grant-in-Aid for Research Base Creation (2019C-486).
Funding Information:
The author is grateful to two anonymous reviewers and the editor for their valuable comments and suggestions. The author thanks Yukihiko Funaki and Yukio Koriyama for helpful comments and gratefully acknowledges the financial support from JSPS, Japan Grant-in-Aid for Research Activity Start-up (No. 19K23206 ) and Waseda Univeristy, Japan Grant-in-Aid for Research Base Creation ( 2019C-486 ). Appendix
Publisher Copyright:
© 2019 Elsevier B.V.
PY - 2020/1
Y1 - 2020/1
N2 - 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.
AB - 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.
KW - Axiomatization
KW - Coalition formation
KW - Coalition structure
KW - Monotonicity
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U2 - 10.1016/j.mathsocsci.2019.12.001
DO - 10.1016/j.mathsocsci.2019.12.001
M3 - Article
AN - SCOPUS:85076703929
VL - 103
SP - 69
EP - 75
JO - Mathematical Social Sciences
JF - Mathematical Social Sciences
SN - 0165-4896
ER -