In a short time-scale，the optimal strategy of Agent for complex management systems is determined by using the analytic method in a deterministic system topology structure． A game model in the deterministic multi-local-worlds graph is constructed and the equilibrium solutions of Agents behavior are discussed for deterministic Multi-Local-Worlds graphs in two cases，which are the cooperative game between agents in the same local-world and non-cooperative game between agents in different Local-Worlds; The two different solutions with corresponding game models are coupled together to get the optimal strategies of Agents and the stability of the optimal strategy is discussed at the end of paper．