The Shapley and Banzhaf values in microarray games

  • Authors:
  • Roberto Lucchetti;Stefano Moretti;Fioravante Patrone;Paola Radrizzani

  • Affiliations:
  • Dipartimento di Matematica, Politecnico di Milano, Italy;Unit of Molecular Epidemiology, National Cancer Research Institute, Largo R. Benzi 10, 16132 Genoa, Italy;DIPTEM, University of Genova, P.le Kennedy - Pad D, 16129 Genoa, Italy;Dipartimento di Matematica, Politecnico di Milano, Italy

  • Venue:
  • Computers and Operations Research
  • Year:
  • 2010

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Abstract

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.