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Size Monotonicity and Stability of the Core in Hedonic Games

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Working paper
Author/s: 
Dinko Dimitrov and Shao Chin Sung
Issue number: 
2011.052
Publisher: 
FEEM
Year: 
2011
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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