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Measuring the price of anarchy in critical care unit interactions

Knight, Vincent Anthony, Komenda, Izabela and Griffiths, Jeffrey Deacon 2017. Measuring the price of anarchy in critical care unit interactions. Journal of the Operational Research Society 68 (6) , pp. 630-642. 10.1057/s41274-016-0100-8

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Abstract

Hospital throughput is often studied and optimised in isolation, ignoring the interactions between hospitals. In this paper, critical care unit (CCU) interaction is placed within a game theoretic framework. The methodology involves the use of a normal form game underpinned by a two-dimensional continuous Markov chain. A theorem is given that proves that a Nash Equilibrium exists in pure strategies for the games considered. In the United Kingdom, a variety of utilisation targets are often discussed: aiming to ensure that wards/hospitals operate at a given utilisation value. The effect of these target policies is investigated justifying their use to align the interests of individual hospitals and social welfare. In particular, we identify the lowest value of a utilisation target that aligns these.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Advanced Research Computing @ Cardiff (ARCCA)
Mathematics
Subjects: Q Science > QA Mathematics
Uncontrolled Keywords: game theory queueing theory healthcare
Publisher: Palgrave Macmillan
ISSN: 0160-5682
Related URLs:
Date of First Compliant Deposit: 22 November 2016
Date of Acceptance: 18 July 2016
Last Modified: 25 May 2018 21:48
URI: http://orca.cf.ac.uk/id/eprint/96329

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