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On core stability and extendability

Author

Listed:
  • Shellshear, Evan

    (Center for Mathematical Economics, Bielefeld University)

Abstract

This paper investigates conditions under which the core of a TU cooperative game is stable. In particular the author extends the idea of extendability to find new conditions under which the core is stable. It is also shown that these new conditions are not necessary for core stability.

Suggested Citation

  • Shellshear, Evan, 2011. "On core stability and extendability," Center for Mathematical Economics Working Papers 387, Center for Mathematical Economics, Bielefeld University.
    • Handle: RePEc:bie:wpaper:387
    as

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    File URL: https://pub.uni-bielefeld.de/download/2315670/2319832
    File Function: First Version, 2007
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    References listed on IDEAS

    as
    1. Xiaotie Deng & Toshihide Ibaraki & Hiroshi Nagamochi, 1999. "Algorithmic Aspects of the Core of Combinatorial Optimization Games," Mathematics of Operations Research, INFORMS, vol. 24(3), pages 751-766, August.
    2. Ehud Kalai & Eitan Zemel, 1982. "Generalized Network Problems Yielding Totally Balanced Games," Operations Research, INFORMS, vol. 30(5), pages 998-1008, October.
    3. Biswas, A. K. & Parthasarathy, T. & Potters, J. A. M. & Voorneveld, M., 1999. "Large Cores and Exactness," Games and Economic Behavior, Elsevier, vol. 28(1), pages 1-12, July.
    4. Bezalel Peleg & Peter Sudhölter, 2007. "Introduction to the Theory of Cooperative Games," Theory and Decision Library C, Springer, edition 0, number 978-3-540-72945-7, December.
    5. Yaron Azrieli & Ehud Lehrer, 2007. "Extendable Cooperative Games," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 9(6), pages 1069-1078, December.
    6. T. Raghavan & Peter Sudhölter, 2005. "The modiclus and core stability," International Journal of Game Theory, Springer;Game Theory Society, vol. 33(4), pages 467-478, November.
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