TY  - JOUR
U1  - Wissenschaftlicher Artikel
A1  - Casajus, André
T1  - Weakly balanced contributions and the weighted Shapley values
JF  - Journal of Mathematical Economics
N2  - We provide a concise characterization of the class of positively weighted Shapley values by three properties, two standard properties, efficiency and marginality, and a relaxation of the balanced contributions property called the weak balanced contributions property. Balanced contributions: the amount one player gains or loses when another player leaves the game equals the amount the latter player gains or loses when the former player leaves the game. Weakly balanced contributions: the direction (sign) of the change of one player’s payoff when another player leaves the game equals the direction (sign) of the change of the latter player’s payoff when the former player leaves the game. Given this characterization, the symmetric Shapley value can be “extracted”from the class of positively weighted Shapley values by either replacing the weak balanced contributions property with the standard symmetry property or by strengthening the former into the balanced contributions property.
KW  - TU game
KW  - Weighted Shapley values
KW  - Marginality
KW  - Weakly balanced contributions
Y1  - 2021
SN  - 0304-4068
SS  - 0304-4068
U6  - https://doi.org/10.1016/j.jmateco.2020.102459
DO  - https://doi.org/10.1016/j.jmateco.2020.102459
VL  - 94
IS  - May
SP  - 102459
ER  -