CIAS invites you to the next talk of the Corvinus Game Theory Seminar.
May 5 (12-13) room C.714
Zsófia Dornai (BME)
TU-games with utility: the u-prenucleolus
The u-prenucleolus is a generalisation of the prenucleolus using utility functions. The u-prenucleolus also can be considered as a generalisation of the per-capita prenucleolus. We prove a generalisation of Kohlberg’s theorem to the u-prenucleolus and a generalisation of Katsev and Yanovskaya’s theorem, thereby giving a sufficient and necessary condition on the unicity of the u-prenucleolus. We also define the u-essential coalitions which give a characterisation set for the u-prenucleolus. Special cases of this result give a characterisation set for the per-capita prenucleolus on balanced games and a characterisation set for the prenucleolus on certain non-balanced games.
The talk is based on joint work with Miklós Pintér.