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The quasi-prekernel for cooperative games

Author

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  • Kong, Qianqian
  • Peters, Hans
  • Sun, Hao

Abstract

The quasi-prekernel is a novel solution concept for cooperative games. It is a refinement of existing prebargaining set solutions, notably the reactive, semireactive, and Aumann-Davis-Maschler prebargaining sets. It contains the prekernel, and coincides with that solution on simple games except possibly on balanced simple games with all individual worths equal to zero. An axiomatic characterization based on reduced game properties is provided. The steady version, obtained by putting conditions on objecting and counterobjecting coalitions, is considered as well. Finally, by considering objecting and counterobjecting coalitions independent of specific players, the so-called excess prebargaining obtains, which is another novel solution concept.

Suggested Citation

  • Kong, Qianqian & Peters, Hans & Sun, Hao, 2026. "The quasi-prekernel for cooperative games," Games and Economic Behavior, Elsevier, vol. 158(C), pages 260-271.
    • Handle: RePEc:eee:gamebe:v:158:y:2026:i:c:p:260-271
    DOI: 10.1016/j.geb.2026.03.009
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    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

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