Truthful mechanisms to maximize the social welfare in real-time ride-sharing

Bing Shi, Shun Li, Yikai Luo, Liquan Zhu
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Abstract

Ride-sharing contributes significantly to lowering trip expenses, easing traffic congestion and decreasing air pollution. However, current order pairing approaches in ride-sharing usually focus on minimizing total trip distances or maximizing platform profits, overlooking the drivers’ desire for increased earnings. As a result, drivers might provide dishonest information to gain higher profits, leading to inefficient order pairing for the ride-sharing platform and potential losses for both the platform and drivers. In this paper, we address this challenging issue by developing efficient order pairing mechanisms that maximize the social welfare of the platform and drivers. Specifically, we introduce two truthful auction-based order pairing mechanisms, SWMOM-VCG and SWMOM-GM, where drivers bid on platform-published orders to complete them and earn profits. We provide theoretical proof that both mechanisms fulfill the criteria of individual rationality, profitability, truthfulness and so on. Using real taxi order data from New York City, we assess the performance of both mechanisms and show that they achieve greater social welfare compared to existing methods. Additionally, we find that SWMOM-GM requires less computation time than SWMOM-VCG for order pairing, with only a minor reduction in social welfare.
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在实时共享乘车中实现社会福利最大化的真实机制
共享出行在降低出行成本、缓解交通拥堵和减少空气污染方面做出了巨大贡献。然而,目前共享单车的订单配对方法通常侧重于总行程距离最小化或平台利润最大化,忽视了司机对增加收入的渴望。因此,司机可能会为了获得更高的利润而提供不诚实的信息,导致共享出行平台的订单配对效率低下,平台和司机都可能蒙受损失。在本文中,我们通过开发高效的订单配对机制来解决这一具有挑战性的问题,使平台和司机的社会福利最大化。具体来说,我们引入了两种基于真实拍卖的订单配对机制--SWMOM-VCG 和 SWMOM-GM,司机通过竞拍平台发布的订单来完成订单并获得利润。我们从理论上证明了这两种机制都符合个体理性、盈利性和真实性等标准。利用纽约市的真实出租车订单数据,我们对两种机制的性能进行了评估,结果表明,与现有方法相比,这两种机制能实现更大的社会福利。此外,我们还发现,在订单配对方面,SWMOM-GM 比 SWMOM-VCG 所需的计算时间更少,而社会福利仅略有减少。
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