A geometric characterisation of the compromise value

In this paper, we characterise the compromise value of a game as the barycentre of the edges of its core cover. For this, we introduce the T* value, which extends the adjusted proportional rule for bankruptcy situations and coincides with the compromise value on a large class of games. [PUBLICATION...

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Bibliographic Details
Published in:Mathematical methods of operations research (Heidelberg, Germany) Germany), 2005-07, Vol.61 (3), p.483-500
Main Authors: Díaz, Julio González, Borm, Peter, Hendrickx, Ruud, Quant, Marieke
Format: Article
Language:English
Subjects:
Bankruptcy
Game theory
Games
Mathematical models
Operations research
Studies
Utopias
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Summary:In this paper, we characterise the compromise value of a game as the barycentre of the edges of its core cover. For this, we introduce the T* value, which extends the adjusted proportional rule for bankruptcy situations and coincides with the compromise value on a large class of games. [PUBLICATION ABSTRACT]
ISSN:1432-2994
1432-5217
DOI:10.1007/s001860400407