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Distributed consensus in noncooperative congestion games: An application to road pricing

机译:非合作性拥堵博弈中的分布式共识:道路定价的应用

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In this paper, we discuss a repeated noncooperative congestion game in which players have limited information about each other and make their decisions simultaneously. A consensus protocol is introduced to estimate the percentage of players selecting each resource. The underlying network at a given stage is chosen from a possible graph set randomly and independently. We show that the congestion game under investigation has at least one pure Nash equilibrium. In addition, we show that if some sort of inertia is imposed, the almost sure convergence to a pure Nash equilibrium can be ensured. After that, two dynamic pricing strategies are introduced to achieve social optimum and to spread out players' choices, respectively. Also, we apply these results to a trip timing problem based on the real traffic data in Singapore.
机译:在本文中,我们讨论了重复的非合作式拥塞游戏,其中玩家之间的信息有限,并且他们同时做出决策。引入共识协议以估计选择每种资源的玩家百分比。给定阶段的基础网络是从可能的图形集中随机且独立地选择的。我们表明,正在研究的拥塞博弈具有至少一个纯纳什均衡。此外,我们表明,如果施加某种形式的惯性,则可以确保几乎确定的收敛于纯Nash平衡。之后,引入了两种动态定价策略以分别实现社会最优和分散玩家的选择。此外,我们根据新加坡的实际交通数据将这些结果应用于出行时间问题。

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