The prenucleolus and the prekernel for games with communication structures

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Abstract

It is well-known that the prenucleolus on the class of TU games is characterized by singlevaluedness, covariance under strategic equivalence, anonymity, and the reduced game property. We show that the prenucleolus on the class of TU games restricted to the connected coalitions with respect to communication structures may be characterized by the same axioms and a stronger version of independence of non-connected coalitions requiring that the solution does not depend on the worth of any non-connected coalition. Similarly as in the classical case, it turns out that each of the five axioms is logically independent of the remaining axioms and that an infinite universe of potential players is necessary. Moreover, a suitable definition and characterization of a prekernel for games with communication structures is presented.
Original languageUndefined
Pages (from-to)285-299
Number of pages15
JournalMathematical methods of operations research
Volume78
Issue number2
DOIs
Publication statusPublished - 2013

Keywords

  • Nucleolus
  • Kernel
  • TU game
  • Communication and conference structure
  • EWI-23675
  • METIS-297824
  • IR-87185
  • Solution concept

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