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A general approach for population games with application to vaccination. (English) Zbl 1211.92049

Summary: Reconciling the interests of individuals with the interests of communities is a major challenge in designing and implementing health policies. We present a technique based on a combination of mechanistic population-scale models, Markov decision process theory and game theory that facilitates the evaluation of game theoretic decisions at both individual and community scales. To illustrate our technique, we provide solutions to several variants of the simple vaccination game including imperfect vaccine efficacy and differential waning of natural and vaccine immunity. In addition, we show how path-integral approaches can be applied to the study of models in which strategies are fixed waiting times rather than exponential random variables. These methods can be applied to a wide variety of decision problems with population-dynamic feedbacks.

MSC:

92D30 Epidemiology
91A40 Other game-theoretic models
90C40 Markov and semi-Markov decision processes
92C50 Medical applications (general)
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