TY - JOUR
T1 - Population monotonicity and consistency in convex games
T2 - Some logical relations
AU - Hokari, Toru
AU - Van Gellekom, Anita
PY - 2003/10/1
Y1 - 2003/10/1
N2 - On the domain of convex games, many desirable properties of solutions are compatible and there are many single-valued solutions that are intuitively appealing. We establish some interesting logical relations among properties of single-valued solutions. In particular, we introduce a new property, weak contribution-monotonicity, and show that this property is a key property that links other properties such as population-monotonicity, max consistency, converse max consistency, and dummy-player-out.
AB - On the domain of convex games, many desirable properties of solutions are compatible and there are many single-valued solutions that are intuitively appealing. We establish some interesting logical relations among properties of single-valued solutions. In particular, we introduce a new property, weak contribution-monotonicity, and show that this property is a key property that links other properties such as population-monotonicity, max consistency, converse max consistency, and dummy-player-out.
KW - Consistency
KW - Contribution monotonicity
KW - Converse consistency
KW - Convex games
KW - Population monotonicity
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U2 - 10.1007/s001820300141
DO - 10.1007/s001820300141
M3 - Article
AN - SCOPUS:0142219345
VL - 31
SP - 593
EP - 607
JO - International Journal of Game Theory
JF - International Journal of Game Theory
SN - 0020-7276
IS - 4
ER -