The Price of Information in dynamic games on networks

The main objective of this paper consists in providing definitions and preliminary results that allow to assess and evaluate the importance of information and data exchange patterns in non-cooperative dynamic games defined over (communication or physical) networks. This objective is achieved by introducing suitable metrics that associate a value to each communication link among the agents. In the case of Linear-Quadratic (LQ) games on networks, necessary and sufficient conditions are then provided that allow to characterize the set of all Nash equilibria that can be generated for a given network topology, namely even in the presence of partial and limited information.