corresponding resource allocation games. It is shown that these games have a non-empty core and thus allow for stable allocations …. Moreover, an explicit expression for the nucleolus of these games is provided. …

theoretic perspective. A corresponding preparation sequencing game is defined and the focus is on the core and nucleolus of such …

exist polynomially bounded algorithms of order p4 for calculating the nucleolus, where p is the number of players. In this … paper we present a polynomially bounded algorithm of order p2 for calculating the nucleolus of neighbour games. …

game is compromise stable. Moreover, an explicit expression for the nucleolus of these games is provided. …

-empty core: the Direct Price solution is both a core element and a marginal vector. It is seen that the nucleolus of an MCP … alternative characterization of the nucleolus of cooperative games, which offers an alternative to Kohlberg (1971). In our …-game can be derived in polynomial time from the Direct Price solution, using a socalled nucleolus determinant. To show this …

. Unlike the Shapley-Shubik and Banzhaf indices, the nucleolus has this property. The proof uses the balancedness result in …

modifications of the well-known (pre)nucleolus and (pre)kernel satisfy the equal treatment property if and only if the weight system … and the size of the subcoalition. Hence, the symmetrically weighted versions of the (pre)nucleolus and the (pre)kernel are … of the players. E.g., a symmetrically weighted nucleolus may assign the classical nucleolus to one game and the per …

random payoffs to the coalitions. It is shown that the nucleolus is nonempty and that it belongs to the core whenever the … core is nonempty. Furthermore, it is shown for a particular class of stochastic cooperative games that the nucleolus can be …This paper extends the definition of the nucleolus to stochastic cooperative games, that is, to cooperative games with …