Rodica Branzei, Natividad Llorca Pascual , Joaquín Sánchez Soriano , Stef Tijs
In this paper we consider market situations with two corners. One corner consists of a group of powerful agents with yes-or-no choices and clan behavior. The other corner consists of non-powerful agents with multi-choices regarding the extent at which cooperation with the clan can be achieved. Two cones of multi-choice cooperative games arise from such market situations: multi-choice clan games which model the interaction between the two corners and convex multi-choice games that model the interaction within the corner of non-clan agents. We focus on multi-choice clan games and relate core elements for multi-choice clan games with core elements of convex multi-choice games arising from the same two-corner market situation.
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