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The class of microarray games and the relevance index for genes

Moretti, Stefano; Patrone, Fioravante; Bonassi, Stefano (2007), The class of microarray games and the relevance index for genes, TOP, 15, 2, p. 256-280. http://dx.doi.org/10.1007/s11750-007-0021-4

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Type
Article accepté pour publication ou publié
Date
2007
Journal name
TOP
Volume
15
Number
2
Publisher
Springer
Pages
256-280
Publication identifier
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Author(s)
Moretti, Stefano cc
Patrone, Fioravante
Bonassi, Stefano
Abstract (EN)
Nowadays, microarray technology is available to generate a huge amount of information on gene expression. This information must be statistically processed and analyzed, in particular, to identify those genes which are useful for the diagnosis and prognosis of specific diseases. We discuss the possibility of applying game-theoretical tools, like the Shapley value, to the analysis of gene expression data. Via a “truncation” technique, we build a coalitional game whose aim is to stress the relevance (“sufficiency”) of groups of genes for the specific disease we are interested in. The Shapley value of this game is used to select those genes which deserve further investigation. To justify the use of the Shapley value in this context, we axiomatically characterize it using properties with a genetic interpretation.
Subjects / Keywords
Coalitional game; Shapley value; Power index; Gene expression; Microarray