Chapter 8

Dynamic Graphical Games

8.1    Constrained Graphical Games

The constrained graphical game is a special type of the standard games [545], where the policies of the nodes are constrained and the communications between the nodes are done via a communication graph topology [546, 547]. This work brings together game theory, computational graph theory, multi-system coordination, reinforcement learning, adaptive critics, and optimal control.

The field of cooperative control has many applications in robotics, physical networks, unmanned vehicles, etc. [548]. The cooperative control problems are classified into consensus and synchronization problems. A neighbor-based controller is developed for multi-agent systems with a leader and varying ...

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