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Optimal allocation of MRI scan capacity among competing hospital departments

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  • 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.

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  • 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
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    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. Martin J. Osborne & Ariel Rubinstein, 1994. "A Course in Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262650401, April.
    8. 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.
    9. Silvia Villa & Fioravante Patrone, 2009. "Incentive compatibility in kidney exchange problems," Health Care Management Science, Springer, vol. 12(4), pages 351-362, December.
    10. 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.
    11. 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.
    12. 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.
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    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.

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