Computing an element in the lexicographic kernel of a game

U. Faigle, Walter Kern, J. Kuipers

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Abstract

The lexicographic kernel of a game lexicographically maximizes the surplusses $s_{ij}$ (rather than the excesses as would the nucleolus). We show that an element in the lexicographic kernel can be computed efficiently, provided we can efficiently compute the surplusses $s_{ij}(x)$ corresponding to a given allocation $x$. This approach improves previously obtained results and allows us to determine a kernel element without appealing to Maschler transfers in the execution of the algorithm.
Original languageUndefined
Place of PublicationEnschede
PublisherUniversity of Twente, Department of Applied Mathematics
Publication statusPublished - 2002

Publication series

NameMemorandum / Faculty of Mathematical Sciences
PublisherDepartment of Applied Mathematics, University of Twente
No.1663
ISSN (Print)0169-2690

Keywords

  • MSC-90C27
  • IR-65849
  • EWI-3483
  • MSC-90D12

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