We study the extended Chinese postman (CP) cooperative game induced by a connected, weighted, undirected graph G, wherein a postman, starting from a post office location, needs to traverse all edges wherein players reside, before returning to the post-office. We characterize the graphs...

We introduce the aggregate-monotonic core as the set of allocations of a transferable utility cooperative game attainable by single-valued solutions that satisfy core-selection and aggregate-monotonicity. We provide a necessary and sufficient condition for the coincidence of the core and the...

The class of two-person competition games is introduced and analyzed. For any game in this class the set of Nash equilibria is convex and all Nash equilibria lead to the same payoff vector. Competition games are compared to other competitive environments such as unilaterally competitive games...