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Multiobjective Games for Detecting Abnormally Expressed Genes

Author

Listed:
  • Vito Fragnelli

    (Department of Sciences and Technological Innovation, University of Eastern Piedmont, Viale T. Michel 11, 15121 Alessandria, Italy
    The authors’ names are written in alphabetical order.)

  • Lucia Pusillo

    (DIMA - Department of Mathematics, University of Genova, via Dodecaneso 35, 16146 Genova, Italy
    The authors’ names are written in alphabetical order.)

Abstract

A class of multiobjective games with applications to a medicine setting is studied. We consider the vector Shapley value and the vector Banzhaf value for a multicriteria game and we apply them to a microarray game. We give an axiomatic characterization too.

Suggested Citation

  • Vito Fragnelli & Lucia Pusillo, 2020. "Multiobjective Games for Detecting Abnormally Expressed Genes," Mathematics, MDPI, vol. 8(3), pages 1-12, March.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:3:p:350-:d:328602
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    References listed on IDEAS

    as
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    2. Stefano Moretti & Fioravante Patrone & Stefano Bonassi, 2007. "The class of microarray games and the relevance index for genes," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 15(2), pages 256-280, December.
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    4. Graziano Pieri & Lucia Pusillo, 2010. "Interval Values for Multicriteria Cooperative Games," Czech Economic Review, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, vol. 4(2), pages 189-200, June.
    5. SCHMEIDLER, David, 1969. "The nucleolus of a characteristic function game," LIDAM Reprints CORE 44, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    6. Lucia Pusillo, 2017. "Vector Games with Potential Function," Games, MDPI, vol. 8(4), pages 1-11, September.
    7. repec:dau:papers:123456789/4795 is not listed on IDEAS
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    Keywords

    multiobjective games; microarray games;

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