We consider pursuit-evasion differential game of countable number inertial players in Hilbert space with integral constraints on the control functions of players. Duration of the game is fixed. The payoff functional is the greatest lower bound of distances between the pursuers and evader when the game is terminated. The pursuers try to minimize the functional, and the evader tries to maximize i...

In this paper, we study the well-known problem of Isaacs called "Life line" game when movements players occur by acceleration vectors, that is, inertia in Euclidean space. To solve problem, investigate dynamics attainability domain an evader through finding solvability conditions pursuit-evasion problems favor a pursuer or evader. Here pursuit is solved parallel strategy. evasion propose strate...

Imagine a situation in which two (or more) robots are required to capture a single rogue robot. We draw inspiration from Kabaddi, a popular team sport originating in South Asia, and study a discrete version of the game as a vehicle to study this kind of multiagent pursuit evasion problems. The game of Kabaddi involves two teams occupying opposite halves of a field, each team taking turns to sen...

One-on-one pursuit evasion game is the ideal research project for optimal search of agent. Without primal information about circumstance and evasion, it is helpful of enlighten search model for suiting to evade game. Virtual Force Model is one of most common enlighten random model. But it will make a center vibration in balance circumstance. This paper presents a rapid response virtual force mo...

Cops & Robber is a classical pursuit-evasion game on undirected graphs, where the task is to identify the minimum number of cops sufficient to catch the robber. In this paper, we investigate the changes in problem’s complexity and combinatorial properties with constraining the following natural game parameters • Fuel : The number of steps each cop can make; • Cost : The total sum of steps along...