将行程定价为期权合约：行程时间不确定性下的保障与会员资格
Pricing rides as option contracts: guarantees and memberships under travel-time uncertainty
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中文总结 AI 辅助
该研究将行程定价视为期权合约，基于行程时间不确定性推导了公平保费，开发了采样器并验证，得出保障保费低廉、路线条件可降保费等结论，还提出防会员滥用的补贴设计原则。
中文摘要 AI 辅助
现代拼车平台必须在行程开始前确定价格，但实际车费取决于行程时间，而行程时间在预订时（可能提前数天）是不确定的。因此，预付价格可分解为预期车费与保险索赔的保费，该索赔的收益为实际价格与承诺价格之间的差额。本研究或有债权定价理论计算此类索赔的公平保费。近期行程时间分布建模的进展将行程时间的渐近分布描述为承载循环平稳行程时间过程的度量图上的布朗运动，因此我们在总体和路线条件行程时间规律下推导了闭式保费。单一定价方程涵盖信息难度递增的产品，如按需行程、预定行程、 capped-membership 产品和通勤者产品。为了在稀疏数据下定价，我们开发了路线和行程时间采样器，并在2014年魁北克市GPS行程的样本外验证了这些采样器，它们能重现经验行程时间分布。我们表明，保障保费成本低廉，通常低于车费的5%；以实际路线为条件可大致将保费减半，同时降低尾部风险。通过分析会员滥用情况，我们发现逆向选择恰好发生在价格未能以其为条件的维度上，由此得出设计原则：车费的附加补贴（如固定的每次行程折扣）不会改变边际激励，且在结构上可防止滥用，具有确定性闭式成本。
英文摘要
Modern ride-share platforms must commit to a price before a trip is taken, yet the realized fare depends on travel time that is uncertain at the moment of sale, which can occur days in advance. The upfront price thus decomposes into the expected fare and the premium on an insurance claim whose payoff is the shortfall between the realized and promised prices. This work computes the fair premium for such a claim, following from contingent-claim pricing. Recent advances in travel-time distribution modeling cast the asymptotic distribution of travel time as a Brownian motion on a metric graph carrying a cyclostationary travel-time process. We thus derive closed-form premiums under both a population and a route-conditional travel-time law. A single pricing equation then covers products of increasing informational difficulty, such as on-demand and scheduled rides and capped-membership and commuter products. To price on sparse data, we develop route and travel-time samplers and validate them out of sample on 2014 Quebec City GPS trips, where they reproduce the empirical trip-time distribution. We show that guarantee premiums are inexpensive, typically under 5% of the fare. Conditioning on the realized route roughly halves the premium while reducing tail risk. Analyzing membership abuse, we show that adverse selection acts precisely along the dimension the price fails to condition on, yielding a design principle: subsidies additive in the fare, such as a fixed per-ride discount, leave marginal incentives unchanged and are abuse-proof by construction, with deterministic closed-form cost.
发表机构
- Carleton University（卡尔顿大学）
- Lyft Inc.（Lyft公司）
机构由 AI 辅助整理，请以论文原文为准。
