标题： 非原子博弈用于多用户系统 显示英文标题

标题： Non-atomic Games for Multi-User Systems

摘要： 在本次贡献中，分析了多用户系统在频率选择性衰落信道环境下的性能。 使用博弈论工具，提供了一个有用的框架，以确定当用户仅知道自己的信道（而基站假设有完美的信道状态信息）时的最优功率分配。 我们考虑了上行链路CDMA中的现实情况，即频率选择性信道。 此场景说明了去中心化方案的情况，其中终端上的网络信息有限。 考虑了各种接收器，即匹配滤波器、MMSE滤波器和最优滤波器。 本文的目标是推导出当移动用户数量变大且扩频长度增加时，非合作纳什均衡的简单表达式。 为此，结合了两种渐近方法。 第一种是渐近随机矩阵理论，它允许我们得到所有其他移动用户对任何给定标记移动用户的影响的显式表达式。 第二种是非原子博弈理论，它在移动用户数量增长时计算纳什均衡的良好近似值。 显示英文摘要

摘要： In this contribution, the performance of a multi-user system is analyzed in the context of frequency selective fading channels. Using game theoretic tools, a useful framework is provided in order to determine the optimal power allocation when users know only their own channel (while perfect channel state information is assumed at the base station). We consider the realistic case of frequency selective channels for uplink CDMA. This scenario illustrates the case of decentralized schemes, where limited information on the network is available at the terminal. Various receivers are considered, namely the Matched filter, the MMSE filter and the optimum filter. The goal of this paper is to derive simple expressions for the non-cooperative Nash equilibrium as the number of mobiles becomes large and the spreading length increases. To that end two asymptotic methodologies are combined. The first is asymptotic random matrix theory which allows us to obtain explicit expressions of the impact of all other mobiles on any given tagged mobile. The second is the theory of non-atomic games which computes good approximations of the Nash equilibrium as the number of mobiles grows.