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Pricing in a Transportation Station with Strategic Customers

机译：战略客户在运输站中的定价

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摘要

We consider a transportation station, where customers arrive according to a Poisson process, observe the delay information and the fee imposed by the administrator and decide whether to use the facility or not. A transportation facility visits the station according to a renewal process and serves all present customers at each visit. We assume that every customer maximizes her individual expected utility and the administrator is a profit maximizer. We model this situation as a two-stage game among the customers and the administrator, where customer strategies depend on the level of delay information provided by the administrator. We consider three cases distinguished by the level of delay information: observable (the exact waiting time is announced), unobservable (no information is provided) and partially observable (the number of waiting customers is announced). In each case, we explore how the customer reward for service, the unit waiting cost, and the intervisit time distribution parameters affect the customer behavior and the fee imposed by the administrator. We then compare the three cases and show that the customers almost always prefer to know their exact waiting times whereas the administrator prefers to provide either no information or the exact waiting time depending on system parameters.
机译：我们考虑一个运输站，客户根据泊松过程到达该运输站，观察延误信息和管理员收取的费用，并决定是否使用该设施。运输设施会根据更新流程访问车站，并在每次访问时为所有现有客户提供服务。我们假设每个客户都将自己的预期效用最大化，而管理员则是利润最大化者。我们将这种情况建模为客户和管理员之间的两阶段博弈，其中客户策略取决于管理员提供的延迟信息的级别。我们以延迟信息的级别来区分三种情况：可观察的（宣布了确切的等待时间），不可观察的（未提供信息）和部分可观察的（宣布了等待的客户数量）。在每种情况下，我们都将探讨客户的服务报酬，单位等待成本以及咨询时间分配参数如何影响客户的行为和管理员收取的费用。然后，我们比较了这三种情况，并显示出客户几乎总是希望知道他们的确切等待时间，而管理员则更愿意根据系统参数不提供任何信息或确切的等待时间。

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