Controllability of complex networks seeks the lowest number of nodes (driver nodes) that controlling all nodes by receiving input signals. The concept of control centrality is used to determine the power of each nodes in the control of the network. The more nodes a node controls through connections in the network, the more the power to control. In the public goods game, cooperative and free-rider strategies are considered and the final level of cooperation in a population is studied. However, it is yet to determine a solution for indicating the effectiveness of each member to change other member's strategies. In a network, the choice of nodes effective in changing other nodes strategy, as free-riders, will lead to lower cooperation and vice versa. This paper uses simulated and real networks to investigate the effectiveness of nodes with the highest control power in changing other nodes strategies and the final level of cooperation compared to the hubs, local, and random nodes. Results indicate that choosing the nodes with the highest control power as free-riders will lead to a lower level of cooperation and is, therefore, more effective in changing the strategies of other nodes, compared to other sets in consideration. This result can be considered in the treatment of cancer; with the explanation that, destroying tumoral cells with the highest control power should be a priority as these cells have a higher capability in changing the strategy of other cells from cooperators to free-riders (healthy to tumoral).