Dynamic vaccination games and hybrid dynamical systems |
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Authors: | Monica-Gabriela Cojocaru Scott Greenhalgh |
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Affiliation: | 1. Department of Mathematics and Statistics, University of Guelph, Guelph, ON, Canada, N1G 2W1
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Abstract: | This paper relates variational inequalities and hybrid dynamical systems to describe the evolution of a class of noncooperative games. To describe such evolution, we define a hybrid system based on a continuous dynamics described by a projected system, and on a finite set of exogenous event times. This hybrid system is then used to track evolution strategies. We apply our results to the evolution of population groups?? strategies playing a noncooperative vaccinating game over a finite time interval. |
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