TY - GEN

T1 - Some cases of cooperation in differential pursuit games

AU - Pankratova, Ya.

PY - 2007

Y1 - 2007

N2 - In this paper we study a time-optimal model of pursuit in which players move on a plane with bounded velocities. The game is supposed to be a nonzero-sum simple pursuit game between an evader and m pursuers acting irrespective of each other. The key point of the work is to construct some cooperative solutions of the game and compare them with non-cooperative solutions such as Nash equilibria. It is important to give a reasonable answer to the question if cooperation is profitable in differential pursuit games or not. We consider all possible coalitions of the players in the game. For example, the pursuers promise some amount of the total payoff to the evader for cooperation with him. In that way, a cooperative game in characteristic function form is constructed, and its various cooperative solutions are found. We prove that in the game Γv(x0 1,...,z0 m, z0) there exists the nonempty core for any initial positions of the players. In a dynamic game existence of the core at the initial moment of time is not suff

AB - In this paper we study a time-optimal model of pursuit in which players move on a plane with bounded velocities. The game is supposed to be a nonzero-sum simple pursuit game between an evader and m pursuers acting irrespective of each other. The key point of the work is to construct some cooperative solutions of the game and compare them with non-cooperative solutions such as Nash equilibria. It is important to give a reasonable answer to the question if cooperation is profitable in differential pursuit games or not. We consider all possible coalitions of the players in the game. For example, the pursuers promise some amount of the total payoff to the evader for cooperation with him. In that way, a cooperative game in characteristic function form is constructed, and its various cooperative solutions are found. We prove that in the game Γv(x0 1,...,z0 m, z0) there exists the nonempty core for any initial positions of the players. In a dynamic game existence of the core at the initial moment of time is not suff

KW - group pursuit game

KW - cooperative game

KW - Nash equilibrium

KW - core

M3 - Conference contribution

SP - 564, 361-380

BT - Contributions to Game Theory and Management. Collected papers presented on the International Conference Game Theory and Management

PB - Издательство Санкт-Петербургского университета

ER -