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

Author

Listed:
  • 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. 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.
    2. Bossu, Adrien & Durillon, Benoit & Davigny, Arnaud & Barry, Hervé & Robyns, Benoît & Belaïd, Fateh & Saudemont, Christophe, 2024. "Coalitional game-based gain generation and distribution for collective self-consumption in an energy community," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 225(C), pages 129-147.
    3. 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.
    4. 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.
    5. Pongou, Roland & Tondji, Jean-Baptiste, 2024. "The reciprocity set," Journal of Mathematical Economics, Elsevier, vol. 112(C).

    More about this item

    Keywords

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    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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