IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v219y2012i3p630-637.html
   My bibliography  Save this article

Optimal allocation of MRI scan capacity among competing hospital departments

Author

Listed:
  • Zonderland, Maartje E.
  • Timmer, Judith

Abstract

We consider an MRI scanning facility run by a Radiology department. Several hospital departments compete for capacity and have private information regarding their demand for scans. The fairness of the capacity allocation by the Radiology department depends on the quality of the information provided by the hospital departments. We employ a generic Bayesian game approach that stimulates the disclosure of true demand (truth-telling), so that capacity can be allocated fairly. We derive conditions under which truth-telling is a Bayesian Nash equilibrium. The usefulness of the approach is illustrated with a numerical example.

Suggested Citation

  • Zonderland, Maartje E. & Timmer, Judith, 2012. "Optimal allocation of MRI scan capacity among competing hospital departments," European Journal of Operational Research, Elsevier, vol. 219(3), pages 630-637.
  • Handle: RePEc:eee:ejores:v:219:y:2012:i:3:p:630-637
    DOI: 10.1016/j.ejor.2011.10.036
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377221711009763
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.ejor.2011.10.036?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Bin Xie & David M. Dilts & Mikhael Shor, 2006. "The physician–patient relationship: the impact of patient‐obtained medical information," Health Economics, John Wiley & Sons, Ltd., vol. 15(8), pages 813-833, August.
    2. Beitia, Arantza, 2003. "Hospital quality choice and market structure in a regulated duopoly," Journal of Health Economics, Elsevier, vol. 22(6), pages 1011-1036, November.
    3. John C. Harsanyi, 1968. "Games with Incomplete Information Played by "Bayesian" Players Part II. Bayesian Equilibrium Points," Management Science, INFORMS, vol. 14(5), pages 320-334, January.
    4. Mallik, Suman, 2007. "Contracting over multiple parameters: Capacity allocation in semiconductor manufacturing," European Journal of Operational Research, Elsevier, vol. 182(1), pages 174-193, October.
    5. Silvia Villa & Fioravante Patrone, 2009. "Incentive compatibility in kidney exchange problems," Health Care Management Science, Springer, vol. 12(4), pages 351-362, December.
    6. Xiao, Tiaojun & Yang, Danqin, 2009. "Risk sharing and information revelation mechanism of a one-manufacturer and one-retailer supply chain facing an integrated competitor," European Journal of Operational Research, Elsevier, vol. 196(3), pages 1076-1085, August.
    7. Gérard P. Cachon & Martin A. Lariviere, 1999. "Capacity Choice and Allocation: Strategic Behavior and Supply Chain Performance," Management Science, INFORMS, vol. 45(8), pages 1091-1108, August.
    8. John C. Harsanyi, 1968. "Games with Incomplete Information Played by `Bayesian' Players, Part III. The Basic Probability Distribution of the Game," Management Science, INFORMS, vol. 14(7), pages 486-502, March.
    9. 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.
    10. John C. Harsanyi, 1967. "Games with Incomplete Information Played by "Bayesian" Players, I-III Part I. The Basic Model," Management Science, INFORMS, vol. 14(3), pages 159-182, November.
    11. Oliver D. Hart, 1983. "Optimal Labour Contracts under Asymmetric Information: An Introduction," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 50(1), pages 3-35.
    12. Martin J. Osborne & Ariel Rubinstein, 1994. "A Course in Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262650401, April.
    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. Lu Liu & Chun Wang & Jianjun Wang, 2019. "A combinatorial auction mechanism for surgical scheduling considering surgeon’s private availability information," Journal of Combinatorial Optimization, Springer, vol. 37(1), pages 405-417, January.
    2. Nguyen, Hong Ngoc & O’Donnell, Christopher, 2023. "Estimating the cost efficiency of public service providers in the presence of demand uncertainty," European Journal of Operational Research, Elsevier, vol. 309(3), pages 1334-1348.
    3. Yang, Xiaopeng & Zheng, Danheng & Sieminowski, Tammy & Paradi, Joseph C., 2015. "A dynamic benchmarking system for assessing the recovery of inpatients: Evidence from the neurorehabilitation process," European Journal of Operational Research, Elsevier, vol. 240(2), pages 582-591.

    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. Giovanni Paolo Crespi & Davide Radi & Matteo Rocca, 2017. "Robust games: theory and application to a Cournot duopoly model," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 40(1), pages 177-198, November.
    2. Garrouste, Christelle & Loi, Massimo, 2009. "Applications De La Theorie Des Jeux A L'Education: Pour Quels Types Et Niveaux D'Education, Quels Modeles, Quels Resultats? [Applications of Game Theory in Education - What Types and At What Levels," MPRA Paper 31825, University Library of Munich, Germany.
    3. Arnaud Wolff, 2019. "On the Function of Beliefs in Strategic Social Interactions," Working Papers of BETA 2019-41, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
    4. Huseyin Cavusoglu & Srinivasan Raghunathan, 2004. "Configuration of Detection Software: A Comparison of Decision and Game Theory Approaches," Decision Analysis, INFORMS, vol. 1(3), pages 131-148, September.
    5. Matata Ponyo Mapon & Jean-Paul K. Tsasa, 2019. "The artefact of the Natural Resources Curse," Papers 1911.09681, arXiv.org.
    6. Karthik N. Kannan, 2012. "Effects of Information Revelation Policies Under Cost Uncertainty," Information Systems Research, INFORMS, vol. 23(1), pages 75-92, March.
    7. Xie, Yinxi & Xie, Yang, 2017. "Machiavellian experimentation," Journal of Comparative Economics, Elsevier, vol. 45(4), pages 685-711.
    8. von Wangenheim, Georg & Müller, Stephan, 2014. "Evolution of cooperation in social dilemmas: signaling internalized norms," VfS Annual Conference 2014 (Hamburg): Evidence-based Economic Policy 100340, Verein für Socialpolitik / German Economic Association.
    9. Derbyshire, James & Giovannetti, Emanuele, 2017. "Understanding the failure to understand New Product Development failures: Mitigating the uncertainty associated with innovating new products by combining scenario planning and forecasting," Technological Forecasting and Social Change, Elsevier, vol. 125(C), pages 334-344.
    10. David Rios Insua & David Banks & Jesus Rios, 2016. "Modeling Opponents in Adversarial Risk Analysis," Risk Analysis, John Wiley & Sons, vol. 36(4), pages 742-755, April.
    11. Rui Fang & Maochao Xu & Peng Zhao, 2020. "Should the Ransomware be Paid?," Papers 2010.06700, arXiv.org.
    12. Elselt, H. A., 1998. "Perception and information in a competitive location model," European Journal of Operational Research, Elsevier, vol. 108(1), pages 94-105, July.
    13. Bin Xie & David M. Dilts & Mikhael Shor, 2006. "The physician–patient relationship: the impact of patient‐obtained medical information," Health Economics, John Wiley & Sons, Ltd., vol. 15(8), pages 813-833, August.
    14. Richard Makadok & Jay B. Barney, 2001. "Strategic Factor Market Intelligence: An Application of Information Economics to Strategy Formulation and Competitor Intelligence," Management Science, INFORMS, vol. 47(12), pages 1621-1638, December.
    15. Robert J. Aumann, 2005. "Musings on Information and Knowledge," Econ Journal Watch, Econ Journal Watch, vol. 2(1), pages 88-96, April.
    16. Roger B. Myerson, 2004. "Comments on "Games with Incomplete Information Played by 'Bayesian' Players, I--III Harsanyi's Games with Incoplete Information"," Management Science, INFORMS, vol. 50(12_supple), pages 1818-1824, December.
    17. Figuieres, Charles & Tidball, Mabel & Jean-Marie, Alain, 2004. "On the effects of conjectures in a symmetric strategic setting," Research in Economics, Elsevier, vol. 58(1), pages 75-102, March.
    18. Güth, Werner & Pezanis-Christou, Paul, 2015. "Believing in correlated types in spite of independence: An indirect evolutionary analysis," Economics Letters, Elsevier, vol. 134(C), pages 1-3.
    19. Sonja Brangewitz & Claus-Jochen Haake, 2013. "Cooperative Transfer Price Negotiations under Incomplete Information," Working Papers CIE 64, Paderborn University, CIE Center for International Economics.
    20. Erim Kardeş & Fernando Ordóñez & Randolph W. Hall, 2011. "Discounted Robust Stochastic Games and an Application to Queueing Control," Operations Research, INFORMS, vol. 59(2), pages 365-382, April.

    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:eee:ejores:v:219:y:2012:i:3:p:630-637. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/eor .

    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.