Walrasian Equilibrium in Two-User Multiple-Input Single-Output Interference Channels
Walrasian Equilibrium in Two-User Multiple-Input Single-Output Interference Channels
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DOI：
10.1109/iccw.2011.5963530
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发表时间：
2011-06
期刊：
影响因子：
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通讯作者：
R. Mochaourab;Eduard Axel Jorswieck
中科院分区：
文献类型：
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作者：
R. Mochaourab;Eduard Axel Jorswieck
我们提出了两用户多输入单输出干扰信道中的分散资源分配方案。该机制是由定义竞争环境中的均衡的经济模型驱动的。我们将链接之间的情况建模为竞争市场，其中链接是消费者，传输策略是商品。在瓦尔拉斯均衡中，每种商品的需求等于供给，构成有效运行点。对于两个用户的情况，瓦尔拉斯均衡和相应的价格可以以封闭形式计算。具有完美信道知识的仲裁者计算瓦尔拉斯价格并将其分配给发射器（消费者），发射器根据其预算约束（初始最大比率传输解决方案）计算每个商品的去中心化最佳需求（波束成形）。瓦尔拉斯均衡是帕累托最优并且主导纳什均衡。此外，利用 Edgeworth 框中消费者的冲突表示，我们为两个用户案例的所有帕累托最优点提供了封闭形式的解决方案。
We propose a decentralized resource allocation scheme in the two-user multiple-input single-output interference channel. The mechanism is motivated by economic models which define equilibria in competitive settings. We model the situation between the links as a competitive market where the links are consumers, the transmission strategies are goods. In Walrasian equilibrium, the demand of each good equals the supply which constitutes an efficient operating point. For the two user case, the Walrasian equilibrium and the corresponding prices can be computed in closed form. An arbitrator with perfect channel knowledge computes and distributes the Walrasian prices to the transmitters (consumers) which calculate decentralized their optimal demand (beamforming) of each good subject to their budget constraint (initial maximum ratio transmission solution). The Walrasian equilibrium is Pareto optimal and dominates the Nash equilibrium. Moreover, utilizing the conflict representation of the consumers in the Edgeworth box, we provide the closed form solution to all Pareto optimal points for the two user case.