The positive core of a cooperative game

Guni Orshan, Peter Sudhölter*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

12 Scopus citations


The positive core is a nonempty extension of the core of transferable utility games. If the core is nonempty, then it coincides with the core. It shares many properties with the core. Six well-known axioms that are employed in some axiomatizations of the core, the prenucleolus, or the positive prekernel, and one new intuitive axiom, characterize the positive core for any infinite universe of players. This new axiom requires that the solution of a game, whenever it is nonempty, contains an element that is invariant under any symmetry of the game.

Original languageAmerican English
Pages (from-to)113-136
Number of pages24
JournalInternational Journal of Game Theory
Issue number1
StatePublished - Mar 2010


  • Core
  • Kernel
  • Nucleolus
  • Positive core
  • Solution concept
  • TU game


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