An element of the possibly unbounded core of a cooperative game with precedence constraints belongs to its bounded core … if any transfer to a player from any of her subordinates results in payoffs outside the core. The bounded core is the … union of all bounded faces of the core, it is nonempty if the core is nonempty, and it is a continuous correspondence on …

generated by a partial order on the set of players. In such a situation, the core may be unbounded, and one has to select a … bounded part of the core as a solution concept. The restricted core is obtained by imposing equality constraints in the core … for sets belonging to so-called normal collections, resulting (if nonempty) in the selection of a bounded face of the core …