Multi-choice clan games and their core |
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| Authors: | R. Branzei N. Llorca J. Sánchez-Soriano S. Tijs |
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| Affiliation: | (1) Faculty of Computer Science, “Alexandru Ioan Cuza” University, Iaşi, Romania;(2) CIO and Department of Statistics, Mathematics and Computer Science, University Miguel Hernández of Elche, Elche, Spain;(3) CentER and Department of Econometrics and Operations Research, Tilburg University, Tilburg, The Netherlands |
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| Abstract: | 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. |
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| Keywords: | Multi-choice games Clan games Core |
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