In two-sided markets with money, core stability and marginalism are often in conflict. We reconcile them with two main results. First, we show that in the assignment game (Shapley & Shubik, 1972), the Banzhaf value is core stable if and only if the game is exact. This is surprising for two...

In two-sided markets with money, core stability and marginalism are often in conflict. We reconcile them with two main results. First, we show that in the assignment game (Shapley & Shubik, 1972), the Banzhaf value is core stable if and only if the game is exact. This is surprising for two...