The irreducible core of a minimum cost spanning tree game

The irreducible core of a minimum cost spanning tree game

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Article ID: iaor19942328
Country: Germany
Volume: 38
Start Page Number: 163
End Page Number: 174
Publication Date: Sep 1993
Journal: Mathematical Methods of Operations Research (Heidelberg)
Authors: ,
Abstract:

It is a known result that for a minimum cost spanning tree (mcst) game a Core allocation can be deduced directly from a mcst in the underlying network. To determine this Core allocation one only needs to determine a mcst in the network and it is not necessary to calculate the coalition values of the corresponding mcst game. In this paper the authors will deduce other Core allocations directly from the network, without determining the corresponding mcst game itself: they use an idea of Bird to present two procedures that determine a part of the Core (called the Irreducible Core) from the network.

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