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On (Non-) Monotonicity of Cooperative Solutions

Author

Listed:
  • Yair Tauman

    (Tel Aviv University and Stony Brook University)

  • Andriy Zapechelnyuk

    (University of Bonn and Kyiv School of Economics)

Abstract

Aggregate monotonicity of cooperative solutions is widely accepted as a desirable property, and examples where certain solution concepts (such as the nucleolus) violate this property are scarce and have no economic interpretation. We provide an example of a simple four-player game that points out at a class of economic contexts where aggregate monotonicity is not appealing.

Suggested Citation

  • Yair Tauman & Andriy Zapechelnyuk, 2009. "On (Non-) Monotonicity of Cooperative Solutions," Discussion Papers 13, Kyiv School of Economics, revised Oct 2009.
    • Handle: RePEc:kse:dpaper:13
    Note: Published in International Journal of Game Theory 39, 171-175 (2010)
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    File URL: http://repec.kse.org.ua/pdf/KSE_dp13.pdf
    File Function: Revised version, October 2009
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    References listed on IDEAS

    as
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    Citations

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    Cited by:

    1. J. Arin, 2013. "Monotonic core solutions: beyond Young’s theorem," International Journal of Game Theory, Springer;Game Theory Society, vol. 42(2), pages 325-337, May.
    2. A. Estévez-Fernández & P. Borm & M. G. Fiestras-Janeiro & M. A. Mosquera & E. Sánchez-Rodríguez, 2017. "On the 1-nucleolus," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 86(2), pages 309-329, October.
      • Estévez-Fernández , M.A. & Borm, Peter & Fiestras, & Mosquera, & Sanchez,, 2017. "On the 1-nucleolus," Other publications TiSEM a8ce6687-c87a-4131-98f7-3, Tilburg University, School of Economics and Management.
    3. Miguel Ángel Mirás Calvo & Carmen Quinteiro Sandomingo & Estela Sánchez-Rodríguez, 2021. "Considerations on the aggregate monotonicity of the nucleolus and the core-center," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 93(2), pages 291-325, April.

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    Keywords

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    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory

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