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Competitive routing in multiuser communication networks

机译:多用户通信网络中的竞争性路由

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The authors consider a communication network shared by several selfish users. Each user seeks to optimize its own performance by controlling the routing of its given flow demand, giving rise to a noncooperative game. They investigate the Nash equilibrium of such systems. For a two-node multiple links system, uniqueness of the Nash equilibrium is proven under reasonable convexity conditions. It is shown that this Nash equilibrium point possesses interesting monotonicity properties. For general networks, these convexity conditions are not sufficient for guaranteeing uniqueness, and a counterexample is presented. Nonetheless, uniqueness of the Nash equilibrium for general topologies is established under various assumptions.
机译:作者考虑了几个自私用户共享的通信网络。每个用户都试图通过控制给定流量需求的路由来优化自己的性能,从而引发非合作博弈。他们研究了这类系统的纳什均衡。对于两节点多链接系统,在合理的凸度条件下证明了纳什均衡的唯一性。结果表明,该纳什平衡点具有有趣的单调性。对于一般网络,这些凸度条件不足以保证唯一性,并提供了一个反例。但是,在各种假设下都可以确定纳什均衡对于一般拓扑的唯一性。

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