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Generating functions for computing the Myerson value

delete2002-01-01
delete28
PRE
AI
F
Fernández, JR *
E
Encarnación Algaba
J
J.M. Bilbao
A
Andrea Jiménez
N
N. Jiménez
J
J.J. López
DOI:10.1023/A:1016348001805delete
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Abstract

Abstract

En 中文
The complexity of a computational problem is the order of computational resources which are necessary and sufficient to solve the problem. The algorithm complexity is the cost of a particular algorithm. We say that a problem has polynomial complexity if its computational complexity is a polynomial in the measure of input size. We introduce polynomial time algorithms based in generating functions for computing the Myerson value in weighted voting games restricted by a tree. Moreover, we apply the new generating algorithm for computing the Myerson value in the Council of Ministers of the European Union restricted by a communication structure.
Keywords:
complexity
Myerson value
weighted voting games
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Journal

Annals of Operations Research cover
Annals of Operations Research
IF:
4.5
Papers:
8.1K
Citations:
2.1W

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