The nucleolus of a standard tree game revisited: a study of its monotonicity and computational properties

The nucleolus of a standard tree game revisited: a study of its monotonicity and computational properties

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Article ID: iaor20102039
Volume: 39
Issue: 1
Start Page Number: 89
End Page Number: 104
Publication Date: Mar 2010
Journal: International Journal of Game Theory
Authors: , ,
Abstract:

This paper introduces yet another algorithm to compute the nucleolus of a standard tree game. One advantage of this algorithm is that it provides a very intuitive interpretation of the nucleolus, under which the players participate in a joint enterprize in which each group sends a member to help the community. Another advantage is that it demonstrates monotonicity properties of the nucleolus within this class of games. As a consequence the nucleolus of a tree game can be extended to a population monotonic allocation scheme.

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