For multi-user multi-band networks, a zero-sum game between the users and the jammer is considered. In the formulation of the game, the rewards of the users are modeled with various parameters including communication rate, hopping cost, and jamming loss. It is analytically shown that for any symmetric collision avoidance protocol, a staying-threshold frequency hopping and a sweeping attack establish an equilibrium. We also propose two kinds of collision avoidance protocols to ensure that at most one user communicates in a band, and provide various numerical results that show the effect of the reward parameters and collision avoidance protocols on the optimal threshold of the staying-threshold frequency hopping and the expected rewards of the users.

翻译：对于多用户多波段网络,应考虑用户与干扰器之间的零和游戏。在设计游戏时,用户的奖赏以各种参数为模型,包括通信率、购物成本和阻塞损失。分析显示,对于任何对称的避免碰撞协议,定置阈值频率选择和全面攻击可以建立平衡。我们还提出了两种避免碰撞协议,以确保最多一个用户在一个波段内进行通信,并提供各种数字结果,显示奖励参数和避免碰撞协议对定置阈值频率选择的最佳门槛以及预期用户的回报的影响。