E-resources
Peer reviewed
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Rilwan, Jewaidu; Fotia, Pasquale; Ferrara, Massimiliano
Decisions in economics and finance, 06/2023, Volume: 46, Issue: 1Journal Article
The game value of a pursuit-evasion differential game is an estimation of the game’s payoff at the instant when all the players employ their optimal strategies. In this paper, we estimate this value for a fixed duration differential game problem of countably many pursuers and one evader with the Grönwall-type constraints, a generalization of the well known geometric constraints, imposed on all the players’ control functions. The players’ dynamics are governed by a generalized dynamic equations. We construct the attainability domain and a Grönwall-type optimal strategies for the players. The constructed strategies are then employed in establishing that the estimated game value is guaranteed for the players.
