Summary
The report suggests a numerical method for constructing Stackelberg trajectories in a linear two-person n-dimensional differential game with special terminal payoffs for players. The game is reduced to a game on the plane and the problem is transformed into a non-standard optimal control problem. For the approximation of the trajectories sets for this problem a set of computational geometry algorithms in plane is used, including convex hull construction, union and intersection of polygons and a Minkowski sum for polygons.
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Osipov, S., Kleimenov, A. (2003). Computation of Stackelberg Trajectories in a Class of Linear Differential Games on Plane. In: Petrosyan, L.A., Yeung, D.W.K. (eds) ICM Millennium Lectures on Games. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-05219-8_25
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DOI: https://doi.org/10.1007/978-3-662-05219-8_25
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