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The nucleon of cooperative games and an algorithm for matching games

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Abstract

Thenucleon is introduced as a new allocation concept for non-negative cooperativen-person transferable utility games. The nucleon may be viewed as the multiplicative analogue of Schmeidler’s nucleolus. It is shown that the nucleon of (not necessarily bipartite) matching games can be computed in polynomial time.

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Authors and Affiliations

  1. Department of Applied Mathematics, University of Twente, P.O. Box 217, NL-7500 AE, Enschede, The Netherlands

    Ulrich Faigle & Walter Kern

  2. ZPR, Zentrum für paralleles Rechnen, Universität zu Köln, Albertus-Magnus-Platz, D-50923, Köln, Germany

    Sándor P. Fekete & Winfried Hochstättler

Authors
  1. Ulrich Faigle
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  2. Walter Kern
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  3. Sándor P. Fekete
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  4. Winfried Hochstättler
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Correspondence to Ulrich Faigle.

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Faigle, U., Kern, W., Fekete, S.P. et al. The nucleon of cooperative games and an algorithm for matching games. Mathematical Programming 83, 195–211 (1998). https://doi.org/10.1007/BF02680558

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  • DOI: https://doi.org/10.1007/BF02680558

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