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Stability and allocation in a three-player game

Leqin Wu, Xin Chen, Ye Lu, Ya-Xiang Yuan

    Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

    Abstract

    We study a three-player cooperative game with transferable utility where the players may form different coalition structures. A new concept of stability of a coalition is introduced, and the existence of a stable coalition is proven. Based on this stability concept, a novel approach is given to determine sensible allocations in a grand coalition of three players. We also compare our result with classical core solution and implement our theory on a specific price model. © 2013 World Scientific Publishing Co. & Operational Research Society of Singapore.
    Original languageEnglish
    Article number1340014
    JournalAsia-Pacific Journal of Operational Research
    Volume30
    Issue number3
    DOIs
    Publication statusPublished - Jun 2013

    Research Keywords

    • cooperative game
    • Stability
    • three-player game

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