Stackelberg games with dynamic spanning trees

This article considers a Stackelberg game with dynamic spanning trees. The leader will identify the edges between some of the followers, which will be shown in red. Then the followers will play a two-stage spanning tree game with "shock", which means that after the first stage, a specific follower will leave the game with a certain probability, which depends on the behavior of all the followers in the first stage. The equilibrium of the Stackelberg game with dynamic spanning tree is defined, and correlative conclusions are given.