We consider a single carrier communication system subjected to multi-jammer interference, and study optimal power control in the framework of game theory. The Nash and Stackelberg equilibria are derived in closed form. Conditions involving the background noise variance and the transmission cost are established for determining whether the equilibria are unique. It is proven that in the case of multiple equilibria, the user has the same payoff at each equilibrium, which reflects the stability of the communication. Also, consistent with the literature on single-jammer scenarios, it is shown that when the jammers are in a Stackelberg game, although they act as followers, they gain in payoffs as compared to the Nash game.

中文翻译：

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多干扰器功率控制游戏


我们考虑受到多干扰的单载波通信系统，并在博弈论框架下研究最优功率控制。纳什均衡和斯塔克尔伯格均衡以封闭形式导出。建立涉及背景噪声方差和传输成本的条件来确定平衡是否唯一。事实证明，在多个均衡的情况下，用户在每个均衡下都有相同的收益，这体现了通信的稳定性。此外，与单干扰器场景的文献一致，表明当干扰器处于 Stackelberg 博弈中时，尽管它们充当追随者，但与纳什博弈相比，它们获得了收益。