Geodesic
Feedback strategies in nonzero-sum differential game of special type
Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 11 (2019) no. 4, pp. 67-86.

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The paper deals with the construction of universal closedloop strategies for two-person nonzero-sum differential game of a special type. The dynamics of the first player is defined by its own position and control. The dynamics of the second player is defined by its own control and position of both players. The strategies are constructed on the base of solution for a system of Hamilton–Jacobi equations. The system of Hamilton–Jacobi equations has a hierarchical type. A generalized solution for the system of Hamilton–Jacobi equations belongs to the class of multivalued maps. We show the link between values of the players and the generalized solution of the system of Hamilton–Jacobi equations.
Keywords: system of Hamilton–Jacobi equations, nonzero-sum differential game, Nash equilibrium, multivalued solutions. 
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Ekaterina A. Kolpakova. Feedback strategies in nonzero-sum differential game of special type. Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 11 (2019) no. 4, pp. 67-86. http://geodesic.mathdoc.fr/item/MGTA_2019_11_4_a4/

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