Conditions on probabilistic beliefs over outsider partitions guarantee a non-empty core in symmetric partition function form games with positive or negative externalities.
Sjostrom (2003) Consistent solutions for cooperative games with exter- nalities, Games and Economic Behavior 43, 196-213
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Partition function form games with probabilistic beliefs
Conditions on probabilistic beliefs over outsider partitions guarantee a non-empty core in symmetric partition function form games with positive or negative externalities.