Reduced game property of the Egalitarian Non-k-Averaged Contribution (EN k AC-) value and the Shapley value

Namekata, Tsuneyuki and Driessen, Theo S.H. (2000) Reduced game property of the Egalitarian Non-k-Averaged Contribution (EN k AC-) value and the Shapley value. International Transactions in Operational Research, 7 (4-5). pp. 365-382. ISSN 0969-6016

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Abstract:	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.
Item Type:	Article
Copyright:	© 2000 Wiley InterScience
Faculty:	Electrical Engineering, Mathematics and Computer Science (EEMCS)
Research Group:	Discrete Mathematics and Mathematical Programming (DMMP)
Link to this item:	http://purl.utwente.nl/publications/58508
Official URL:	http://dx.doi.org/10.1111/j.1475-3995.2000.tb00205.x
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