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

M.B. Maschler, J.A.M. Potters, J.H. Reijnierse

Research output: Contribution to journalArticleScientificpeer-review

8 Citations (Scopus)

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.
Original languageEnglish
Pages (from-to)89-104
JournalInternational Journal of Game Theory
Volume39
Issue number1
Publication statusPublished - 2010

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