Journal
MATHEMATICAL SOCIAL SCIENCES
Volume 56, Issue 3, Pages 336-349Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.mathsocsci.2008.06.002
Keywords
Social structure; Shapley value; Coalitional value; Weighted value; Implementation
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This paper Studies a non-cooperative mechanism implementing a cooperative solution for a situation in which members of a society are Subdivided into groups and/or coalitions and there is asymmetry among the individuals of the society. To describe hierarchical and horizontal cooperation structure simultaneously, we present unified classes of games, the games with social structure. and define a weighted value for these games. We show that our mechanism works in any zero-monotonic environment and implements the Shapley Value, the weighted Shapley value, the Owen's coalitional Value, and the weighted coalitional value, in some special cases. (C) 2008 Elsevier B.V. All rights reserved.
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