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A cooperative game approach to integrated healthcare

Author

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  • Guillaume Sekli

    (CRESE EA3190, Univ. Bourgogne Franche-Comté, F-25000 Besançon, France)

Abstract

This article focuses on the sharing of a bundled payment for integrated healthcare. We model this problem by means of cooperative game theory. Various approaches are considered, each of which gives rise to a particular cooperative game, and make it possible to take the chronology of medical events into account. The Shapley value, a priority rule and a proportional allocation rule are used to (partially) refund the healthcare professionals on the basis of the fee paid by the patient and we establish some properties. We also show that the core of some of these aformentioned games is non-empty and can contain these allocation rules.

Suggested Citation

  • Guillaume Sekli, 2022. "A cooperative game approach to integrated healthcare," Working Papers 2022-06, CRESE.
    • Handle: RePEc:crb:wpaper:2022-06
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    References listed on IDEAS

    as
    1. Stephen Rocks & Daniela Berntson & Alejandro Gil-Salmerón & Mudathira Kadu & Nieves Ehrenberg & Viktoria Stein & Apostolos Tsiachristas, 2020. "Cost and effects of integrated care: a systematic literature review and meta-analysis," The European Journal of Health Economics, Springer;Deutsche Gesellschaft für Gesundheitsökonomie (DGGÖ), vol. 21(8), pages 1211-1221, November.
    2. Erik Ansink & Hans-Peter Weikard, 2012. "Sequential sharing rules for river sharing problems," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 38(2), pages 187-210, February.
    3. Thomson, William, 2003. "Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: a survey," Mathematical Social Sciences, Elsevier, vol. 45(3), pages 249-297, July.
    4. Stokes, Jonathan & Struckmann, Verena & Kristensen, Søren Rud & Fuchs, Sabine & van Ginneken, Ewout & Tsiachristas, Apostolos & Rutten van Mölken, Maureen & Sutton, Matt, 2018. "Towards incentivising integration: A typology of payments for integrated care," Health Policy, Elsevier, vol. 122(9), pages 963-969.
    5. Hervé Moulin, 2000. "Priority Rules and Other Asymmetric Rationing Methods," Econometrica, Econometric Society, vol. 68(3), pages 643-684, May.
    6. Aumann, Robert J. & Maschler, Michael, 1985. "Game theoretic analysis of a bankruptcy problem from the Talmud," Journal of Economic Theory, Elsevier, vol. 36(2), pages 195-213, August.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Integrated Healthcare; Healthcare chain; Chronic diseases; Shapley value;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • I11 - Health, Education, and Welfare - - Health - - - Analysis of Health Care Markets

    NEP fields

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