LAUSR

This brief presents the event-triggered control problem of the weighted networked evolutionary games to make every player earn above a certain threshold, which will be essential for the individual to survive. Firstly, controls are partitioned into ‘control does not work’, ‘control for the cycle strategies’ and ‘normal control’ three parts, and the algebraic form of the game dynamics is acquired with the help of semi-tensor product of matrices. Secondly, two necessary and sufficient conditions are deduced to verify the existence of the event-triggered control. Then the process of designing the event-triggered control is proposed to make all strategies converge to the set satisfying the threshold. Finally, an example is shown to illustrate the validity of conclusions. The current results show that controls just occur in certain states, and will be beneficial to cost reduction.