Abstract
In this chapter, we investigate a two-player zero-sum game with separated impulsive dynamics. We study both qualitative and quantitative games. For the qualitative games, we provide a geometrical characterization of the victory domains. For the quantitative games, we characterize the value functions using the Isaacs partial differential inequalities. As a by-product, we obtain a new result of existence of a value for impulsive differential games. The main tool of our approach is the notion of impulse discriminating domain, which is introduced and discussed extensively here.
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Crück, E., Quincampoix, M., Saint-Pierre, P. (2007). Pursuit-Evasion Games with Impulsive Dynamics. In: Jørgensen, S., Quincampoix, M., Vincent, T.L. (eds) Advances in Dynamic Game Theory. Annals of the International Society of Dynamic Games, vol 9. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4553-3_11
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DOI: https://doi.org/10.1007/978-0-8176-4553-3_11
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