## 1 Introduction  
Satellite communication systems have the advantages of wide global coverage and are not restricted by complex geographical conditions between two locations; they are an important part of the wireless communication field and are widely used in all aspects of people's lives, such as navigation and positioning, climate monitoring, satellite radio and television, etc. The above-mentioned characteristics of satellite communication have determined that satellite communication has become an indispensable means of communication technology in the modern high-tech industry, every country in the world attaches great importance to the construction of its satellite communication systems. Yet at the same time, satellite communication systems are also plagued by various aspects, including malicious jamming in the civilian field, monitoring, intercepting, and jamming in the military field. Especially with the current development of artificial intelligence, intelligent jammers with a learning ability can effectively perceive the surrounding spectrum environment to dynamically change their jamming strategy, making it difficult for communication systems to employ effective anti-jamming methods [1]. The traditional satellite communication anti-jamming technology is mainly based on wide interval high-speed frequency hopping, combined with different modulation and coding methods to achieve the anti-jamming effect. Although this kind of wide interval high-speed frequency hopping satellite communication system already has a certain anti-jamming capability, its essence is still a blind anti-jamming system, the anti-jamming method it adopts is a passive defense measure, which cannot make optimal decisions based on jamming cognition. The improvement of various anti-jamming performances is at the expense of consuming the frequency resources and power resources of the satellite communication systems. From the perspective of [PERSON]'s information theory, these methods will eventually lose the total capacity of the communication systems or lead to an increase in the complexity of the systems. This anti-jamming technology is difficult to use to effectively deal with the increasingly intelligent confrontation situation in the context of artificial intelligence [2]. Therefore, it is necessary to explore the research on intelligent anti-jamming technology of satellite communication considering the background of artificial intelligence technology. Moreover, when wide interval high-speed frequency hopping action occurs, only one channel is used, resulting in a relatively low spectrum utilization rate [3], this method is difficult to use to resolve tracking jamming effectively. With the development of the software and hardware technology of communication systems, satellite communication systems can use multiple channels at the same time. For example, in a multi-user synchronous orthogonal frequency hopping satellite communication system, the communication parties can apply for occupying multiple channels at the same time to increase the total capacity of the communication systems. Meanwhile, with the continuous progress of reconnaissance technology, countermeasure equipment such as high-altitude and long-endurance reconnaissance drones and small satellites with close-in reconnaissance capabilities have gradually become practical, and it has become easier for the jammer to track and interfere with communication parties. A schematic diagram of a typical confrontation scenario between the communication parties and the jammer is shown in Figure 1.  
The challenges faced by occupying multiple channels for information transmission in satellite communication are still very serious, therefore, it is of great significance for us to study the problem of multi-channel power allocation. From the game theory perspective,  
Figure 1: Schematic diagram of typical confrontation scenario between the communication parties and the jammer.