TY  - JOUR
U1  - Zeitschriftenartikel, wissenschaftlich - begutachtet (reviewed)
A1  - Casajus, André
T1  - Second-order productivity, second-order payoffs, and the Shapley value
JF  - Discrete applied mathematics
N2  - We introduce the concepts of the players’ second-order productivities in cooperative games with transferable utility (TU games) and of the players’ second-order payoffs for one-point solutions for TU games. Second-order productivities are conceptualized as second-order marginal contributions, that is, how one player affects another player’s marginal contributions to coalitions containing neither of them by entering these coalitions. Second-order payoffs are conceptualized as the effect of one player leaving the game on the payoff of another player. We show that the Shapley value is the unique efficient one-point solution for TU games that reflects the players’ second-order productivities in terms of their second-order payoffs.
KW  - TU game
KW  - Shapley value
KW  - Second-order marginal contributions
KW  - Second-order symmetry
KW  - Second-order marginality
Y1  - 2021
SN  - 0166-218X
SS  - 0166-218X
U6  - https://doi.org/10.1016/j.dam.2021.07.036
DO  - https://doi.org/10.1016/j.dam.2021.07.036
IS  - 304 (December 2021)
SP  - 212
EP  - 219
ER  -