Geodesic
Feedback Strategies in a Game-Theoretical Control Problem for a Nonlocal Continuity Equation
Matematičeskie zametki, Tome 114 (2023) no. 4, pp. 525-542.

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The paper deals with game-theoretical control problem for the continuity equation. It is assumed that all agents of a multiagent system are influenced by the same controls of both players depending only on current time and current distribution of the agents. We extend the notion of $u$- and $v$-stability and the Krasovskii–Subbotin extremal shift rule to a given case and construct suboptimal strategies of players. Also, the existence theorem for a value function is proved.
Keywords: feedback control, differential game, nonlocal continuity equation, extremal shift rule. 
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E. A. Kolpakova. Feedback Strategies in a Game-Theoretical Control Problem for a Nonlocal Continuity Equation. Matematičeskie zametki, Tome 114 (2023) no. 4, pp. 525-542. http://geodesic.mathdoc.fr/item/MZM_2023_114_4_a3/

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