随机复合博弈模型：从群体与玩家数量关系的角度分析

From the perspective of the relationship between the number of groups and players, the random composite game model in question 1 can be considered as including two categories: random composite optimization problems and random composite game problems. Specifically, when the number of groups is 1, the competition between groups will disappear, and question 1 will degenerate into a random composite optimization problem where multiple individuals cooperate to minimize an objective function. Similarly, when the number of agents in each group is 1, the cooperation within the group is abandoned, and question 1 is transformed into a situation where multiple self-interested agents compete, that is, a composite game problem. Therefore, question 1 not only models the cooperation-competition relationship among autonomous agents in an uncertain environment but also includes discussions on distributed optimization problems and distributed game problems in general scenarios.