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During a high-speed movement, the satellites are connected intermittently, so the queue length becomes larger and a cache overflow appears. In this paper, the abundant storage resources of the multilayered satellite network (MLSN) are used to avoid the packet loss caused by a cache overflow of the Low Earth Orbit (LEO) satellites. However, due to the limited storage space of the Geostationary Earth Orbit (GEO) satellites, an effective load balance scheme which addresses two problems: LEO satellites competition in a non-cooperative fashion and content popularity utilization, is needed. Therefore, we propose a load balancing scheme based on the Stackelberg game, containing Members of a Game Algorithm and Distributed Cache Price Bargaining Algorithm. In addition, a storage technology based on content popularity (Popularity Matching Algorithm) is introduced. The numerical results show that the proposed …