different voting systems within the same parliamentary body. This paper analyzes the core and the Shapley value of three …-valued simple games. Using the concept of vital players, the vital core is constructed and we show that the vital core is a subset … of the core. The Shapley value is characterized on the class of all three-valued simple games. The model is applied to …

combinations of one and two person coalitions.Secondly it is shown that MLTS games with ¯ve or less players have a nonempty core ….However, a six player MLTS game may have an empty core.For the special instance where the reward between a pair of nodes is equal … to 0 or 1, we provide relations between the structure of the core and the underlying network. …

of all players, equal gain splitting rules are defined.It is shown that these rules lead to core elements of the …

finds a core allocation in finitely many rounds. The core allocation consists of an assignment of the items and its …

In this paper, we characterise the compromise value of a game as the barycentre of the edges of its core cover.For this …