Multi-choice clan games and their core
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- Branzei, R., Llorca, N., Sánchez-Soriano, J. et al. TOP (2009) 17: 123. doi:10.1007/s11750-009-0081-8
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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. Multi-choice clan games arise from such market situations. The focus is on the analysis of the core of multi-choice clan games. Several characterizations of multi-choice clan games by the shape of the core are given, and the connection between the convexity of a multi-choice clan game and the stability of its core is studied.