The Shapley and Banzhaf values in microarray games

DOI10.1016/j.cor.2009.02.020zbMath1183.91013OpenAlexW2169698434MaRDI QIDQ2379648

Fioravante Patrone, Paola Radrizzani, Stefano Moretti, Roberto Lucchetti

Publication date: 19 March 2010

Published in: Computers \& Operations Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cor.2009.02.020

zbMATH Keywords

gene expressionmicroarray gameShapley and Banzhaf values

Mathematics Subject Classification ID

General biostatistics (92B15) Cooperative games (91A12) Applications of game theory (91A80) Biochemistry, molecular biology (92C40)

Related Items (17)

Improving polynomial estimation of the Shapley value by stratified random sampling with optimum allocation ⋮ Assessing systematic sampling in estimating the Banzhaf-Owen value ⋮ The Banzhaf value as a design tool in coalitional control ⋮ Axiomatic characterizations of the core without consistency ⋮ On stratified sampling for estimating coalitional values ⋮ An overview of recent applications of game theory to bioinformatics ⋮ An experiment on demand commitment bargaining ⋮ A new family of regular semivalues and applications ⋮ Generating semivalues via unanimity games ⋮ Sampling methods to estimate the Banzhaf-Owen value ⋮ A CONSISTENT IMPUTATION GENERATION METHOD FOR LINGUISTIC COOPERATIVE GAMES AND ITS APPLICATION TO RISK AVERSION ⋮ Mathematical indices for the influence of risk factors on the lethality of a disease ⋮ ON SOME OPEN PROBLEMS ARISING FROM THE APPLICATION OF COALITIONAL GAMES IN MEDICINE ⋮ Relationship between labeled network games and other cooperative games arising from attributes situations ⋮ SOME OPEN PROBLEMS IN SIMPLE GAMES ⋮ Necessary players and values ⋮ Coalitional games for networked controllers with constraints on semivalues: a randomized design approach

Cites Work

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• The class of microarray games and the relevance index for genes
• A game theoretical approach to the classification problem in gene expression data analysis
• Transversality of the Shapley value
• The analysis of gene expression data. Methods and software
• Shapley-Shubik and Banzhaf Indices Revisited

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