On some selectors of a core

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The investigation of the properties of a new solution of TU-cooperative games called a subcore shows that a grand subcore is a multiple selector of the core in a balanced game. Under additional restrictions for the structure of set X0(v) optimal solutions of the linear programming problem considered sufficient are obtained for a nucleus to be a selector of a grand subcore. Moreover we proved the proportional nucleus, which is the modification of a nucleus, is a selector of a grand subcore in any balanced n-person TU-game.

Original languageEnglish
Pages (from-to)10-16
Number of pages7
JournalVestnik Sankt-Peterburgskogo Universiteta. Ser 1. Matematika Mekhanika Astronomiya
Issue number3
StatePublished - 1 Jan 2002

Scopus subject areas

  • Mathematics(all)
  • Physics and Astronomy(all)


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