IDEAS home Printed from https://ideas.repec.org/p/gra/wpaper/21-02.html
   My bibliography  Save this paper

Mathematical indices for the influence of risk factors on the lethality of a disease

Author

Listed:
  • Ricardo Martínez

    (Department of Economic Theory and Economic History, University of Granada.)

  • Joaquín Sánchez-Soriano

    (Centro de Investigación Operativa (CIO), Universidad Miguel Hernández de Elche.)

Abstract

We develop a theoretical model to measure the relative relevance of different pathologies of the lethality of a disease in society. This approach allows a ranking of diseases to be determined, which can assist in establishing priorities for vaccination campaigns or prevention strategies. Among all possible measurements, we identify three families of rules that satisfy a combination of relevant properties: neutrality, irrelevance, and one of three composition concepts. One of these families includes, for instance, the Shapley value of the associated cooperative game. The other two families also include simple and intuitive indices. As an illustration, we measure the relative relevance of several pathologies in lethality due to COVID-19.

Suggested Citation

  • Ricardo Martínez & Joaquín Sánchez-Soriano, 2021. "Mathematical indices for the influence of risk factors on the lethality of a disease," ThE Papers 21/02, Department of Economic Theory and Economic History of the University of Granada..
    • Handle: RePEc:gra:wpaper:21/02
    as

    Download full text from publisher

    File URL: http://www.ugr.es/~teoriahe/RePEc/gra/wpaper/thepapers21_02.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Pierre Dehez & Victor Ginsburgh, 2020. "Approval voting and Shapley ranking," Public Choice, Springer, vol. 184(3), pages 415-428, September.
    2. Haake, Claus-Jochen & Kashiwada, Akemi & Su, Francis Edward, 2016. "The Shapley Value of Phylogenetic Trees," Center for Mathematical Economics Working Papers 363, Center for Mathematical Economics, Bielefeld University.
    3. Algaba, Encarnación & Béal, Sylvain & Fragnelli, Vito & Llorca, Natividad & Sánchez-Soriano, Joaquin, 2019. "Relationship between labeled network games and other cooperative games arising from attributes situations," Economics Letters, Elsevier, vol. 185(C).
    4. Bergantiños, Gustavo & Moreno-Ternero, Juan D., 2015. "The axiomatic approach to the problem of sharing the revenue from museum passes," Games and Economic Behavior, Elsevier, vol. 89(C), pages 78-92.
    5. Francisco Esteban & Dennis Wall, 2011. "Using game theory to detect genes involved in Autism Spectrum Disorder," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 19(1), pages 121-129, July.
    6. Ginsburgh, Victor & Zang, Israel, 2003. "The museum pass game and its value," Games and Economic Behavior, Elsevier, vol. 43(2), pages 322-325, May.
    7. Hubert Stahn, 2017. "Biodiversity, Shapely Value and Phylogenetic Trees: Some Remarks," Working Papers halshs-01630069, HAL.
    8. 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.
    9. Louis A. Cox, Jr., 1985. "A New Measure of Attributable Risk for Public Health Applications," Management Science, INFORMS, vol. 31(7), pages 800-813, July.
    10. repec:dau:papers:123456789/4735 is not listed on IDEAS
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Martínez, Ricardo & Moreno-Ternero, Juan D., 2022. "An axiomatic approach towards pandemic performance indicators," Economic Modelling, Elsevier, vol. 116(C).
    2. Pierre Dehez, 2024. "Cooperative Product Games," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 26(01), pages 1-13, March.

    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. Ricardo Martínez & Joaquín Sánchez-Soriano, 2021. "Social solidarity with dummies in the museum pass problem," ThE Papers 21/11, Department of Economic Theory and Economic History of the University of Granada..
    2. Ricardo Mart'inez & Joaqu'in S'anchez-Soriano, 2023. "Order preservation with dummies in the musseum pass problem," Papers 2307.00622, arXiv.org.
    3. Bergantiños, Gustavo & Moreno-Ternero, Juan D., 2020. "Allocating extra revenues from broadcasting sports leagues," Journal of Mathematical Economics, Elsevier, vol. 90(C), pages 65-73.
    4. Victor Ginsburgh & Juan D. Moreno-Ternero, 2023. "The Eurovision Song Contest: voting rules, biases and rationality," Journal of Cultural Economics, Springer;The Association for Cultural Economics International, vol. 47(2), pages 247-277, June.
    5. Gustavo Bergantiños & Juan D. Moreno-Ternero, 2023. "Decentralized revenue sharing from broadcasting sports," Public Choice, Springer, vol. 194(1), pages 27-44, January.
    6. Juan Carlos Gonc{c}alves-Dosantos & Ricardo Mart'inez & Joaqu'in S'anchez-Soriano, 2024. "Measures of relevance to the success of streaming platforms," Papers 2403.08421, arXiv.org.
    7. Elisenda Molina & Juan Tejada & Tom Weiss, 2022. "Some game theoretic marketing attribution models," Annals of Operations Research, Springer, vol. 318(2), pages 1043-1075, November.
    8. Bergantiños, Gustavo & Moreno-Ternero, Juan D., 2022. "Monotonicity in sharing the revenues from broadcasting sports leagues," European Journal of Operational Research, Elsevier, vol. 297(1), pages 338-346.
    9. Gustavo Bergantiños & Juan D. Moreno-Ternero, 2022. "On the axiomatic approach to sharing the revenues from broadcasting sports leagues," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 58(2), pages 321-347, February.
    10. Gustavo Bergantiños & Juan D. Moreno-Ternero, 2020. "Sharing the Revenues from Broadcasting Sport Events," Management Science, INFORMS, vol. 66(6), pages 2417-2431, June.
    11. Karol Flores-Szwagrzak & Rafael Treibich, 2020. "Teamwork and Individual Productivity," Management Science, INFORMS, vol. 66(6), pages 2523-2544, June.
    12. Gustavo Bergantiños & Juan Vidal-Puga, 2021. "A review of cooperative rules and their associated algorithms for minimum-cost spanning tree problems," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 12(1), pages 73-100, March.
    13. Olivier Gergaud & Victor Ginsburgh & Juan D. Moreno-Ternero, 2020. "Wine Ratings," Working Papers ECARES 2020-38, ULB -- Universite Libre de Bruxelles.
    14. Encarnaciön Algaba & Sylvain Béal & Vito Fragnelli & Natividad Llorca & Joaquin Sänchez-Soriano, 2019. "Relationship between labeled network games and museum pass games," Working Papers 2019-02, CRESE.
    15. Saeed Alaei & Ali Makhdoumi & Azarakhsh Malekian & Saša Pekeč, 2022. "Revenue-Sharing Allocation Strategies for Two-Sided Media Platforms: Pro-Rata vs. User-Centric," Management Science, INFORMS, vol. 68(12), pages 8699-8721, December.
    16. Gergaud, Olivier & Ginsburgh, Victor & Moreno-Ternero, Juan D., 2021. "Wine Ratings: Seeking a Consensus among Tasters via Normalization, Approval, and Aggregation," Journal of Wine Economics, Cambridge University Press, vol. 16(3), pages 321-342, August.
    17. Algaba, Encarnación & Béal, Sylvain & Fragnelli, Vito & Llorca, Natividad & Sánchez-Soriano, Joaquin, 2019. "Relationship between labeled network games and other cooperative games arising from attributes situations," Economics Letters, Elsevier, vol. 185(C).
    18. Gustavo Bergantiños & Juan D. Moreno-Ternero, 2023. "Broadcasting revenue sharing after cancelling sports competitions," Annals of Operations Research, Springer, vol. 328(2), pages 1213-1238, September.
    19. BERGANTIÑOS, Gustavo & MORENO-TERNERO, Juan D., 2016. "A New Rule for the Problem of Sharing the Revenue from Museum Passes," LIDAM Reprints CORE 2721, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    20. Ginsburgh, Victor & Moreno-Ternero, Juan D. & Weber, Shlomo, 2017. "Ranking languages in the European Union: Before and after Brexit," European Economic Review, Elsevier, vol. 93(C), pages 139-151.

    More about this item

    Keywords

    Epidemiology; Comorbidity; Lethality; Equal attribution index; Shapley value index; COVID-19.;
    All these keywords.

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:gra:wpaper:21/02. 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: Angel Solano Garcia. (email available below). General contact details of provider: https://edirc.repec.org/data/dtugres.html .

    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.