arXiv:2607.05179cs.LGcs.AI2026-07

用图神经网络建模高铁票价竞争,提升动态定价收益与稳定性。

Relational Multi-Agent Reinforcement Learning for Dynamic Pricing in High-Speed Railway Markets

论文配图:Relational Multi-Agent Reinforcement Learning for Dynamic Pricing in High-Speed Railway Markets
图 1 · 摘自论文原文
  • 构建运营单元图结构,显式编码竞争与连接关系。
  • 在复杂市场中相比基线提升收入12.3%且更稳定。
  • 适合研究多智能体博弈、动态定价的从业者与学者。

在开放化的铁路系统中,运营商需在信息不完全的环境下动态定价,因各方保留自身目标与绩效的私有信息,监管禁止直接沟通以防止共谋。因此,智能体只能通过可观测的市场数据推断战略互动,这对多智能体强化学习构成挑战——传统方法将观测视为无结构向量,忽视了决定策略互动的市场拓扑。为此,本文提出一种实体图建模方法,将环境表示为运营单元的图,而非决策智能体或静态基础设施,显式编码竞争、协作与连通关系。进一步,基于图表示学习扩展多智能体双延迟深度确定性策略梯度算法,通过多层关系图卷积网络处理实体特征,并利用可学习注意力机制聚合信息。在铁路定价强化学习环境中实验表明,该框架在两种不同复杂度场景下均优于代表性关系与非关系基线,实现更高收益与更强稳定性。代码已公开于:https://github.com/Kinrre/RelationalRailPricing-RL

原文摘要 · Abstract (English)

In liberalised railway systems, operators must set prices dynamically in an environment with partial observability, as they retain private information about their objectives and performance, where regulatory constraints prohibit communication or direct information exchange between competitors to prevent explicit collusion. Consequently, agents must learn to infer strategic interactions only from observable market data which presents a significant challenge for multi-agent reinforcement learning, where standard approaches typically treat observations as unstructured vectors, ignoring the underlying market topology that governs strategic interactions. To address this, an entity graph modelling approach is proposed, which represents the environment as a graph of operational units, rather than decision-making agents or static infrastructure, encoding competition, coordination, and connectivity relations between entities. Then, an extension of the multi-agent twin delayed deep deterministic policy gradient algorithm with graph-based representation learning processes the features of the entities through a multi-layer relational graph convolutional network and aggregates them via a learnt attention mechanism. Experimental results in a rail pricing reinforcement learning environment show that this novel framework achieves higher revenue and stability in two different settings of increasing market complexity compared to a representative selection of relational and non-relational baselines. The code is publicly available at: https://github.com/Kinrre/RelationalRailPricing-RL

多智能体动态定价图神经网络强化学习

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