On thek-stability ofm-quota games |
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Authors: | Kenjiro Nakamura |
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Institution: | 1. Department of Social Engineering, Tokyo Institute of Technology, Tokyo, Japan
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Abstract: | We consider thek-stability ofm-quota games ofn players. We prove that anm-quota game (N, v), which satisfies the conditionv(S)=0 for allS, ¦S¦ ≤m ?1, is (m ?1)-stable if and only if there is no weak player. Further, some relationships between ak-stable pair and anm-quota are shown. Some ofLuce's results 1955] on Shapley quota games are generalized tom-quota games. |
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