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The Nucleolus, the Kernel, and the Bargaining Set: An Update

Author

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  • Elena Iñarra
  • Roberto Serrano
  • Ken-Ichi Shimomura

Abstract

One of the many important contributions in David Schmeidler?s distinguished career was the introduction of the nucleolus. This paper is an update on the nucleolus and its two related supersolutions, i.e., the kernel and the bargaining set. JEL Codes: C71, C72.

Suggested Citation

  • Elena Iñarra & Roberto Serrano & Ken-Ichi Shimomura, 2020. "The Nucleolus, the Kernel, and the Bargaining Set: An Update," Revue économique, Presses de Sciences-Po, vol. 71(2), pages 225-266.
    • Handle: RePEc:cai:recosp:reco_712_0225
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    Cited by:

    1. Holger I. Meinhardt, 2024. "On the Replication of the Pre-kernel and Related Solutions," Computational Economics, Springer;Society for Computational Economics, vol. 64(2), pages 871-946, August.
    2. Ken‐Ichi Shimomura, 2022. "The bargaining set and coalition formation," International Journal of Economic Theory, The International Society for Economic Theory, vol. 18(1), pages 16-37, March.
    3. Pongou, Roland & Tondji, Jean-Baptiste, 2024. "The reciprocity set," Journal of Mathematical Economics, Elsevier, vol. 112(C).
    4. Yan-An Hwang & Yu-Hsien Liao, 2020. "A Solution Concept and Its Axiomatic Results under Non-Transferable-Utility and Multi-Choice Situations," Mathematics, MDPI, vol. 8(9), pages 1-10, September.

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    More about this item

    Keywords

    nucleolus; kernel; bargaining set;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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