We usually need a huge amount of computing resources to solve the computer game applications. Furthermore, these issues of computer game applications are highly dynamic and low latency features. Thus, our laboratory has developed Computer Game Desktop Grid (CGDG) for these applications. This thesis improves CGDG resource allocation management, including: the fairness between users or organizations, the fairness for multi-threading jobs and the efficiency of allocating computing resources. Furthermore, this thesis also argues that the more stable, the better performance is. Finally, this thesis confirms the argument by experiments.