Distributed Continuous-Time Strategy-Updating Rules for Noncooperative Games With Discrete-Time Communication

In this article, a class of continuous-time noncooperative games in networks double-integrator agents is explored. The existing methods require that communicate with their neighbors real time. we propose two discrete-time communication schemes based on the designed strategy-updating rule for efficient use resources. First, property analyzed to ensure all agents’ strategies can reach Nash equilibrium (NE). Then, propose, respectively, periodic and event-triggered interactions among agents. case implemented synchronously. executed asynchronously without Zeno behaviors. All both cases NE asymptotically by interacting at discrete times. Simulations are performed Cournot competition illustrate effectiveness proposed methods.