Transferable Utility Planning Games
نویسندگان
چکیده
Connecting between standard AI planning constructs and a classical cooperative model of transferable-utility coalition games, we introduce the notion of transferable-utility (TU) planning games. The key representational property of these games is that coalitions are valued implicitly based on their ability to carry out efficient joint plans. On the side of the expressiveness, we show that existing succinct representations of monotonic TU games can be efficiently compiled into TU planning games. On the side of computation, TU planning games allow us to provide some of the strongest to date tractability results for core-existence and core-membership queries in succinct TU coalition games.
منابع مشابه
Fuzzy transferable-utility games: a weighted allocation and related results
By considering the supreme-utilities among fuzzy sets and the weights among participants simultaneously, we introduce the supreme-weighted value on fuzzy transferable-utility games. Further, we provide some equivalent relations to characterize the family of all solutions that admit a potential on weights. We also propose the dividend approach to provide alternative viewpoint for the potential a...
متن کاملUtility Theories in Cooperative Games¤
Utility theories for the de ̄nitions of cooperative games and associated solution concepts are discussed. A game with side payments needs the assumptions of transferable utility and side payments. We discuss the axioms for the transferable utility assumption and also the role of side payments for various solution concepts. We also discuss games without side payments, which do not require the ass...
متن کاملAn existence theorem for a bargaining set*
This paper considers non-transferable utility games and provides sufftcient conditions for the existence of the bargaining set introduced in Mas-Cole11 (1989). Our main assumption is weak balancedness. This assumption is weaker than balancedness and is satisfied in all transferable utility games and all three-player games. The proof of our main result is based on an application of a coincidence...
متن کاملNon-Transferable Utility Coalitional Games via Mixed-Integer Linear Constraints
Coalitional games serve the purpose of modeling payoff distribution problems in scenarios where agents can collaborate by forming coalitions in order to obtain higher worths than by acting in isolation. In the classical Transferable Utility (TU) setting, coalition worths can be freely distributed amongst agents. However, in several application scenarios, this is not the case and the Non-Transfe...
متن کاملA bargaining approach to the Owen value and the Nash solution with coalition structure1
The mechanism by Hart and Mas-Colell (1996) for non-transferable utility (NTU) games is generalized so that a coalition structure among players is taken into account. The new mechanism yields the Owen value for transferable utility (TU) games with coalition structure as well as the consistent value (Maschler and Owen 1989, 1992) for NTU games with trivial coalition structure. Furthermore, we ob...
متن کامل