Geodesic
Minimax differential game with delay
Vestnik rossijskih universitetov. Matematika, Tome 25 (2020) no. 132, pp. 359-369

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The paper considers a minimax positional differential game with aftereffect based on the $i$-smooth analysis methodology. In the finite-dimensional (ODE) case for a minimax differential game, resolving mixed strategies can be constructed using the dynamic programming method. The report shows that the $i$-smooth analysis methodology allows one to construct counterstrategies in a completely similar way to the finite-dimensional case. Moreover as it is typical for the use of $i$-smooth analysis, in the absence of an aftereffect, all the results of the article pass to the corresponding results of the finite-dimensional theory of positional differential games.
Keywords: differential games, systems with delays. 
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     author = {A. V. Kim and G. A. Bocharov},
     title = {Minimax differential game with delay},
     journal = {Vestnik rossijskih universitetov. Matematika},
     pages = {359--369},
     publisher = {mathdoc},
     volume = {25},
     number = {132},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTAMU_2020_25_132_a1/}
}
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A. V. Kim; G. A. Bocharov. Minimax differential game with delay. Vestnik rossijskih universitetov. Matematika, Tome 25 (2020) no. 132, pp. 359-369. http://geodesic.mathdoc.fr/item/VTAMU_2020_25_132_a1/