IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v8y2020i3p350-d328602.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/8/3/350/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/8/3/350/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Voorneveld, M., 1999. "Potential games and interactive decisions with multiple criteria," Other publications TiSEM 29d7b372-7a4e-4db7-b66c-f, Tilburg University, School of Economics and Management.
    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.
    3. Barlow, Richard E. & Proschan, Frank, 1975. "Importance of system components and fault tree events," Stochastic Processes and their Applications, Elsevier, vol. 3(2), pages 153-173, April.
    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
    8. Tijs, S.H., 2005. "The First Steps with Alexia, the Average Lexicographic Value," Discussion Paper 2005-123, Tilburg University, Center for Economic Research.
    9. Tijs, S.H., 2005. "The First Steps with Alexia, the Average Lexicographic Value," Other publications TiSEM 0b4f9565-59f7-477f-b8f8-9, Tilburg University, School of Economics and Management.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Trudeau, Christian & Vidal-Puga, Juan, 2020. "Clique games: A family of games with coincidence between the nucleolus and the Shapley value," Mathematical Social Sciences, Elsevier, vol. 103(C), pages 8-14.
    2. Louis de Mesnard, 2015. "The three wives problem and Shapley value," Post-Print hal-01091714, HAL.
    3. Lohmann, E.R.M.A. & Borm, P.E.M. & Quant, M., 2007. "A Stroll with Alexia," Discussion Paper 2007-52, Tilburg University, Center for Economic Research.
    4. Tijs, Stef & Borm, Peter & Lohmann, Edwin & Quant, Marieke, 2011. "An average lexicographic value for cooperative games," European Journal of Operational Research, Elsevier, vol. 213(1), pages 210-220, August.
    5. Grabisch, Michel & Sudhölter, Peter, 2018. "On a class of vertices of the core," Games and Economic Behavior, Elsevier, vol. 108(C), pages 541-557.
    6. Funaki, Y. & Tijs, S.H. & Brânzei, R., 2007. "Leximals, the Lexicore and the Average Lexicographic Value," Other publications TiSEM 405775ae-c634-49c5-9f9c-4, Tilburg University, School of Economics and Management.
    7. Trudeau, Christian & Vidal-Puga, Juan, 2017. "On the set of extreme core allocations for minimal cost spanning tree problems," Journal of Economic Theory, Elsevier, vol. 169(C), pages 425-452.
    8. Stefano Moretti & Fioravante Patrone, 2008. "Transversality of the Shapley value," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 16(1), pages 1-41, July.
    9. Juan Aparicio & Natividad Llorca & Joaquin Sanchez-Soriano & Manuel A. Pulido & Julia Sancho, 2012. "Ranking Auctions: A Cooperative Approach," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 14(01), pages 1-19.
    10. Béal, Sylvain & Rémila, Eric & Solal, Philippe, 2012. "Weighted component fairness for forest games," Mathematical Social Sciences, Elsevier, vol. 64(2), pages 144-151.
    11. Elisa Caprari & Fioravante Patrone & Lucia Pusillo & Stef Tijs & Anna Torre, 2008. "Share Opportunity Sets And Cooperative Games," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 10(02), pages 205-218.
    12. Takumi Kongo & Yukihiko Funaki & Rodica Branzei & Stef Tijs, 2010. "Non-Cooperative And Axiomatic Characterizations Of The Average Lexicographic Value," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 12(04), pages 417-435.
    13. Mario Guajardo & Kurt Jörnsten & Mikael Rönnqvist, 2016. "Constructive and blocking power in collaborative transportation," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 38(1), pages 25-50, January.
    14. Peter Knudsen & Lars Østerdal, 2012. "Merging and splitting in cooperative games: some (im)possibility results," International Journal of Game Theory, Springer;Game Theory Society, vol. 41(4), pages 763-774, November.
    15. Sylvain Béal & Marc Deschamps & Philippe Solal, 2014. "Balanced collective contributions, the equal allocation of non-separable costs and application to data sharing games," Working Papers hal-01377926, HAL.
    16. Skorin-Kapov, Darko & Skorin-Kapov, Jadranka, 2005. "Threshold based discounting networks: The cost allocation provided by the nucleolus," European Journal of Operational Research, Elsevier, vol. 166(1), pages 154-159, October.
    17. Gianfranco Gambarelli, 1999. "Maximax Apportionments," Group Decision and Negotiation, Springer, vol. 8(6), pages 441-461, November.
    18. H. Andrew Michener & Daniel J. Myers, 1998. "Probabilistic Coalition Structure Theories," Journal of Conflict Resolution, Peace Science Society (International), vol. 42(6), pages 830-860, December.
    19. Gonzalez, Stéphane & Rostom, Fatma Zahra, 2022. "Sharing the global outcomes of finite natural resource exploitation: A dynamic coalitional stability perspective," Mathematical Social Sciences, Elsevier, vol. 119(C), pages 1-10.
    20. Platz, T.T. & Hamers, H.J.M. & Quant, M., 2011. "Characterizing Compromise Stability of Games Using Larginal Vectors," Discussion Paper 2011-058, Tilburg University, Center for Economic Research.

    More about this item

    Keywords

    multiobjective games; microarray games;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:8:y:2020:i:3:p:350-:d:328602. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.