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Common mistakes in computing the nucleolus

Guajardo, Mario; Jörnsten, Kurt
Working paper
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URI
http://hdl.handle.net/11250/194983
Date
2014-04
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  • Discussion papers (FOR) [556]
Abstract
Despite linear programming and duality have correctly been incorporated in algorithms

to compute the nucleolus, we have found mistakes in how these have been used in a broad

range of applications. Overlooking the fact that a linear program can have multiple optimal

solutions and neglecting the relevance of duality appear to be crucial sources of

mistakes in computing the nucleolus. We discuss these issues and illustrate them in mistaken

examples collected from a variety of literature sources. The purpose of this note

is to prevent these mistakes propagate longer by clarifying how linear programming and

duality can be correctly used for computing the nucleolus.
Publisher
FOR
Series
Discussion paper;15/14

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