With the development of the Internet and mobile phone technology, it is much easier to access ridesharing information via mobile applications. In this paper, the relationship between the demand of ridesharing passengers (RPs), ridesharing drivers (RDs) and solo drivers (SDs) in a ridesharing compensation scheme is studied by a stochastic ridesharing user equilibrium (SRUE), which contains a mode choice model and a route choice model. The mode choice model and the route choice model influence each other. The SRUE is first expressed as a fixed-point problem mathematically. Six possible states of OD pairs are discussed. Then the existence of SRUE is proved. The method of successive weighted averages is adopted to solve the problem. It is found that there will be a higher demand of ridesharing passengers for journeys with longer travel time. Moreover, with the increase of the ridesharing compensation, the demand of ridesharing passengers is not always decreasing, and the demand of ridesharing drivers is not always increasing.

中文翻译：

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运输网络中的随机拼车用户平衡

随着Internet和移动电话技术的发展，通过移动应用程序访问拼车信息变得更加容易。本文通过随机共享的用户共享用户均衡（SRUE）研究了共享乘车补偿方案中的共享乘车需求（RP），共享乘车需求（RD）和独立驾驶人（SD）之间的关系。和路线选择模型 模式选择模型和路由选择模型相互影响。SRUE首先在数学上表示为定点问题。讨论了OD对的六个可能状态。然后证明了SRUE的存在。解决了该问题，采用了连续加权平均法。已经发现，对于具有更长旅行时间的旅程，对乘车共享乘客的需求更高。此外，