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On thek-stability ofm-quota games

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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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References

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Authors and Affiliations

  1. Department of Social Engineering, Tokyo Institute of Technology, Tokyo, Japan

    Kenjiro Nakamura

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  1. Kenjiro Nakamura
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Nakamura, K. On thek-stability ofm-quota games. Int J Game Theory 1, 161–172 (1971). https://doi.org/10.1007/BF01753440

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  • DOI: https://doi.org/10.1007/BF01753440

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