论文信息 - An axiomatization of the nucleolus

An axiomatization of the nucleolus

In this paper we give a set of axioms characterizing the nucleolus of a TU-game on the class of zero-monotonic games as well as on the class of balanced games. Among the axioms there are familiar ones like anonymity (ANN) and covariance (COV), a restriction of a known property, the restricted reduced game property (ResRGP) and a continuity axiom (LIM). Further we introduce another property of the nucleolus — the alternative reduced game property (AltRGP) — and show that this property together with the ones mentioned before characterizes the nucleolus ‘almost completely’ on its definition set.

Jos A. M. Potters

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