The Shapley and Banzhaf values in microarray games

We provide a characterization of the Banzhaf value on the class of the microarray games, and another characterization of the Shapley value, on the same class, in the spirit of [Moretti S, Patrone F, Bonassi S. The class of microarray games and the relevance index for genes. TOP 2007;15:256–80]. Then we compare the results given by the two indices when applied to a colon tumor data-set published in literature.