requirement reflects some forms of indivisibility. We are interested in the classes of games that guarantee a non-empty core no …

shown that the core of a TU-game coincides with the core of the corresponding minimal rights game. Moreover, the paper … introduces the notion of the k-core cover as an extension of the core cover. The k-core cover of a TU-game consists of all … minimal rights game. It is shown that the core of a TU-game with player set N coincides with the L|N |/2-̦core cover …

to the aspiration set; in convex games, this implies convergence to the core. We further introduce perturbations into the …