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The subcoalition-perfect core of cooperative games

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  • J. Drechsel
  • A. Kimms

Abstract

The core is a set-valued solution concept for cooperative games. In situations where the characteristic function is not monotone the classical definition may not be sufficient. Hence, we propose a subset of the core that is called subcoalition-perfect core. It will be proven that the subcoalition-perfect core coincides with the set of non-negative core allocations. Furthermore, an ellipsoid algorithm is provided which may be applied in many applications to compute an element in the subcoalition-perfect core. In addition, we discuss an application where the characteristic function is not monotone and perform a computational study. Copyright Springer Science+Business Media, LLC 2010

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  • J. Drechsel & A. Kimms, 2010. "The subcoalition-perfect core of cooperative games," Annals of Operations Research, Springer, vol. 181(1), pages 591-601, December.
    • Handle: RePEc:spr:annopr:v:181:y:2010:i:1:p:591-601:10.1007/s10479-010-0789-8
    DOI: 10.1007/s10479-010-0789-8
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    References listed on IDEAS

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    2. Shoshana Anily, 2018. "Full characterization of the nonnegative core of some cooperative games," Naval Research Logistics (NRL), John Wiley & Sons, vol. 65(4), pages 303-316, June.

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