TY - JOUR
T1 - The Chi-compromise value for non-transferable utility games
AU - Bergantiños, Gustavo
AU - Massó, Jordi
PY - 2002/11/1
Y1 - 2002/11/1
N2 - We introduce a compromise value for non-transferable utility games: the Chi-compromise value. It is closely related to the Compromise value introduced by Borm, Keiding, McLean, Oortwijn, and Tijs (1992), to the MC-value introduced by Otten, Borm, Peleg, and Tijs (1998), and to the Q-value introduced by Bergantiños, Casas-Méndez, and Vázquez-Brage (2000). The main difference being that the maximal aspiration a player may have in the game is his maximal (among all coalitions) marginal contribution. We show that it is well defined on the class of totally essential and non-level games. We propose an extensive-form game whose subgame perfect Nash equilibrium payoffs coincide with the Chi-compromise value.
AB - We introduce a compromise value for non-transferable utility games: the Chi-compromise value. It is closely related to the Compromise value introduced by Borm, Keiding, McLean, Oortwijn, and Tijs (1992), to the MC-value introduced by Otten, Borm, Peleg, and Tijs (1998), and to the Q-value introduced by Bergantiños, Casas-Méndez, and Vázquez-Brage (2000). The main difference being that the maximal aspiration a player may have in the game is his maximal (among all coalitions) marginal contribution. We show that it is well defined on the class of totally essential and non-level games. We propose an extensive-form game whose subgame perfect Nash equilibrium payoffs coincide with the Chi-compromise value.
KW - Compromise value
KW - NTU game
UR - https://ddd.uab.cat/record/142922
U2 - https://doi.org/10.1007/s001860200193
DO - https://doi.org/10.1007/s001860200193
M3 - Article
VL - 56
SP - 269
EP - 286
JO - Mathematical Methods of Operations Research
JF - Mathematical Methods of Operations Research
SN - 1432-2994
ER -