非对称Colonel Blotto博弈模型下的多信道功率分配抗干扰

针对智能干扰条件下传输速率固定的通信系统多信道功率分配问题，建立了非对称Colonel Blotto博弈模型。在完全信息条件下，推导出了各种功率预算约束下通信方和干扰方的等效单信道最优功率分配策略，进而证明了通信方和干扰方存在唯一混合纳什均衡策略，并求得了纳什均衡收益。基于等效单信道最优功率分布，提出了一种多重扫描直接列元素交换算法，可以快速构建多信道混合功率分配矩阵，且相比于线性规划方法，可适应更多的信道数和更广的功率分布范围。通过数值仿真，验证了所提多信道混合功率分配矩阵构造算法的有效性及多信道功率分配策略的最优性。

Multi-channel power distribution for anti-jamming based on asymmetric Colonel Blotto game

Aiming at the multi-channel power allocation problem of the communication system with a fix transmitting rate, which is undergoing intelligent jamming attack, an asymmetric Colonel Blotto game model was proposed. Under the condition of complete information, the equivalent optimal power allocation strategies at a single channel were deduced for the communication system and the jammer. Moreover, the only mixed Nash equilibrium strategy of them was proved, and the Nash equilibrium benefit was acquired. Based on the equivalent optimal power allocation strategies at a single channel, a direct column element exchange algorithm by multiple scanning was proposed to construct the multi-channel mixed power distribution matrix, which could adapt to more channels and wider power distribution range than the linear programming method. Through numerical simulation, the effectiveness of the multi-channel mixed power allocation matrix construction algorithm and the optimality of the proposed power allocation strategies were verified.