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Characterization sets for the nucleolus

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Abstract

. We introduce the concept of a characterization set for the nucleolus of a cooperative game and develop sufficient conditions for a collection of coalitions to form a characterization set thereof. Further, we formalize Kopelowitz's method for computing the nucleolus through the notion of a sequential LP process, and derive a general relationship between the size of a characterization set and the complexity of computing the nucleolus.

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Authors and Affiliations

  1. Faculty of Commerce and Business Administration, The University of British Columbia, Vancouver, B.C., Canada, V6T 1Z2 (e-mail: daniel.granot@commerce.ubc.ca; frieda.granot@commerce.ubc.ca; Richard_Zhu@sealand.com), , , , , , CA

    D. Granot, F. Granot & W. R. Zhu

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  1. D. Granot
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  2. F. Granot
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  3. W. R. Zhu
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Received May 1994/Revised version May 1997/Final version February 1998

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Granot, D., Granot, F. & Zhu, W. Characterization sets for the nucleolus. Game Theory 27, 359–374 (1998). https://doi.org/10.1007/s001820050078

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  • DOI: https://doi.org/10.1007/s001820050078

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