FEEM working papers "Note di lavoro" series
2011 .052

Size Monotonicity and Stability of the Core in Hedonic Games

Authors: Dinko Dimitrov, Shao Chin Sung
Series: Climate Change and Sustainable Development
Keywords: Core, Hedonic Games, Monotonicity, Stable Sets
JEL n.: C71


We show that the core of each strongly size monotonic hedonic game is not empty and is externally stable. This is in sharp contrast to other sufficient conditions for core non-emptiness which do not even guarantee the existence of a stable set in such games.

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