The unbinding core for coalitional form games

In this paper, we introduce a new core concept called the unbinding core by extending the definition of a deviation. In the traditional definition, players deviate if a profitable allocation exists after their deviation, while our new definition requires that all possible allocations are profitable. Therefore, the unbinding core becomes a superset of the traditional core. We examine some properties of the unbinding core. A sufficient condition for the unbinding core to be nonempty is also provided.