Infeasibility certificates and the complexity of the core in coalitional games
IJCAI'07 Proceedings of the 20th international joint conference on Artifical intelligence
Non-transferable utility coalitional games via mixed-integer linear constraints
Journal of Artificial Intelligence Research
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A general approach to define constrained coalitional games is proposed, i.e., TU games where additional, application-oriented constraints are imposed on the possible outcomes. It is observed that constrained games are succinct NonTransferable (NTU) specifications, which yet retain (some of) the nice properties of the underlying TU games. In fact, a clear picture about the preservation properties of TU solution concepts is depicted, and a thorough analysis is eventually carried out, to assess the impact of issuing constraints on the computational complexity of these solution concepts.