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

Maschler,M.B.
; 
Potters,J.A.M.
; 
Reijnierse,J.H.
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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Date
2010
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Tilburg University Research Output Collection
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Maschler, M B, Potters, J A M & Reijnierse, J H 2010, 'The nucleolus of a standard tree game revisted : A study of its monotonicity and computational properties', International Journal of Game Theory, vol. 39, no. 1, pp. 89-104.
URI
https://hdl.handle.net/20.500.14602/51716
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info:eu-repo/semantics/restrictedAccess
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