Title :
Minimax Team Decision Problems
Author :
Gattami, Ather ; Bernhardsson, Bo
Author_Institution :
Lund Univ., Lund
Abstract :
We consider the problem of distributed decision making in a quadratic game between a team of players and nature. Each player has limited information that could be different from the other players in the team. We show that if there is a solution to the minimax team problem, then the linear policies are optimal, and we show how to find the linear optimal solution by solving a linear matrix inequality. The result is used to solve the distributed Hinfin control problem. It shows that information exchange with neighbours on the graph only, is enough to obtain a linear optimal policy.
Keywords :
Hinfin control; distributed decision making; game theory; linear matrix inequalities; minimax techniques; distributed Hinfin control problem; distributed decision making; linear matrix inequality; linear optimal policy; linear optimal solution; linear policy; minimax team decision problems; quadratic game; Cities and towns; Delay; Distributed control; Distributed decision making; Game theory; Helium; Linear matrix inequalities; Minimax techniques; Stochastic processes; Symmetric matrices;
Conference_Titel :
American Control Conference, 2007. ACC '07
Conference_Location :
New York, NY
Print_ISBN :
1-4244-0988-8
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2007.4282858
