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Characterizations of the u-prenucleolus by dually-u-essential coalitions
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We extend the theory of TU-games with utility functions, which is a generalization of TU-games with restricted cooperation, to include dual games. By using the theory of dual games, we define dually-u-essential coalitions and show that they characterize the u-prenucleolus of u-balanced games. Additionally, we demonstrate that the intersection of u-essential and dually-u-essential coalitions also forms a characterization set for the u-prenucleolus, provided that the u-least-core is a proper subset of the u-core.
TU-gamesRestricted cooperationPrenucleolusLeast-coreCharacterization setDual gameAnti-prenucleolusTU-games with utility functions
Zsofia Domai、Miklos Pinter
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HUN-REN Centre for Economic and Regional Studies, Institute of Economics, 1097 Budapest Toth Kalman u. 4., Budapest, Hungary||Department of Analysis and Operations Research, Institute of Mathematics, Budapest University of Technology and Economics, Muegyetem rkp. 3., Budapest H-1111, Hungary
Corvinus Center for Operations Research, Corvinus Institute of Advanced Studies, Corvinus University of Budapest, Budapest, Hungary||HUN-REN-BME-BCE Quantum Technology Research Group, Budapest, Hungary
NETL
NSTL
Springer Nature
