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Cooperation under interval uncertainty

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Abstract

In this paper, the classical theory of two-person cooperative games is extended to two-person cooperative games with interval uncertainty. The core, balancedness, superadditivity and related topics are studied. Solutions called ψ α-values are introduced and characterizations are given.

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Authors and Affiliations

  1. Institute of Applied Mathematics, Middle East Technical University, 06531, Ankara, Turkey

    S. Zeynep Alparslan-Gök

  2. Faculty of Arts and Sciences, Department of Mathematics, Suleyman Demirel University, 32 260, Isparta, Turkey

    S. Zeynep Alparslan-Gök

  3. Department of Mathematics, University of Lleida, C/Jaume II 69, 25001, Lleida, Spain

    Silvia Miquel

  4. Center and Department of Econometrics and OR, Tilburg University, P. O. Box 90153, 5000LE, Tilburg, The Netherlands

    Stef H. Tijs

Authors
  1. S. Zeynep Alparslan-Gök
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  2. Silvia Miquel
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  3. Stef H. Tijs
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Correspondence to S. Zeynep Alparslan-Gök.

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Alparslan-Gök, S.Z., Miquel, S. & Tijs, S.H. Cooperation under interval uncertainty. Math Meth Oper Res 69, 99–109 (2009). https://doi.org/10.1007/s00186-008-0211-3

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  • DOI: https://doi.org/10.1007/s00186-008-0211-3

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