For cooperative games with transferable utility, convexity has turned out to be an important and widely applicable concept. Convexity can be defined in a number of ways, each having its own specific attractions. Basically, these definitions fall into two categories, namely those based on a...

In this paper, we characterize the class of games for which the core coincides with the core cover (compromise stable games). Moreover, we will develop an easy explicit formula for the nucleolus for this class of games, using an approach based on bankruptcy problems. Also, the class of convex...

This paper introduces a new class of interactive cooperative purchasing situations and provides an explicit alternative characterization of the nucleolus of cooperative games, which offers an alternative to Kohlberg (1971). In our cooperative purchasing situation, the unit price of a commodity...