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Computation of Stackelberg Trajectories in a Class of Linear Differential Games on Plane

In: ICM Millennium Lectures on Games

Author

Listed:
  • Sergei Osipov

    (Ural State University, Chair of Theoretical Mechanics)

  • Anatolii Kleimenov

    (Inst. of Mathematics and Mechanics of RAS, Dynamical Systems Department)

Abstract

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.

Suggested Citation

  • Sergei Osipov & Anatolii Kleimenov, 2003. "Computation of Stackelberg Trajectories in a Class of Linear Differential Games on Plane," Springer Books, in: Leon A. Petrosyan & David W. K. Yeung (ed.), ICM Millennium Lectures on Games, pages 391-396, Springer.
    • Handle: RePEc:spr:sprchp:978-3-662-05219-8_25
    DOI: 10.1007/978-3-662-05219-8_25
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