Average monotonic cooperative games with nontransferable utility
Giménez-Gómez, J.M., Sudhölter, P. and Vilella, C. (2023): "Average monotonic cooperative games with nontransferable utility", Mathematical Methods of Operations Rsearch
A non-negative transferable utility (TU) game is average monotonic if there exists a non-negative vector according to which the relative worth is not decreasing when enlarging the coalition. We generalize this definition to the nontransferable utility (NTU) case. It is shown that an average monotonic NTU game shares several properties with an average monotonic TU game. In particular by the proportional distribution we find that it has a special core element and there exists a population monotonic allocation scheme. We show that an NTU bankruptcy game is average monotonic with respect to the claims vector.