Reduced game property of the egalitarian non-k-averaged contribution value and the Shapley value

Tsuneyuki Namekata, Theo Driessen, T. Namekata

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The Egalitarian Non-k-Averaged Contribution (ENk AC-) value for TU-game represents the equal division of the surplus of the total profits, given that each player is already allocated his individual contribution specified by worths of coalitions of size k. This paper deals with the axiomatic characterization of the ENk AC-value on the class of cooperative games with a fixed player set as well as a variable player set. The latter axiomatization involves a consistency axiom in terms of the reduced games. The ENk AC-value is the unique value on the class of cooperative games with a variable player set which possesses the relative invariance under strategic equivalence, the equal treatment property and the reduced game property for two types of reduced games. We also propose a new reduced game in terms of which the Shapley value is axiomatized.
Original languageUndefined
Pages (from-to)365-382
Number of pages18
JournalInternational transactions in operational research
Issue number7
Publication statusPublished - 2000


  • ENSC-value
  • ENkAC-value
  • Reduced game
  • Shapley value
  • TU game
  • CIS-value
  • Game Theory
  • Cooperative games in characteristic function form
  • METIS-140661
  • IR-58508
  • Consistency

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