arXiv:2606.16183cs.LGcs.AI2026-06

用大模型模拟虚拟消费者群体,精准预测价格变动下的需求分布。

LLM-Powered Virtual Population for Demand Simulation and Pricing

论文配图:LLM-Powered Virtual Population for Demand Simulation and Pricing
图 1 · 摘自论文原文
  • 将用户分为有限混合的画像类型,结合文本与图像信息计算购买概率。
  • 在H&M数据集上表现最优,支持样本高效的价格决策。
  • 输出完整需求分布,适合需要风险控制的定价场景。

我们构建了一个基于大语言模型(LLM)的虚拟消费者群体模型,用于在产品信息丰富但历史需求数据稀少的场景下进行需求模拟与定价决策。模型将潜在顾客表示为有限混合的客户画像,针对每种画像、产品和候选价格,利用LLM结合结构化画像信息与非结构化产品信息(如文字描述和图像),生成画像级购买概率。通过校准的混合权重聚合这些概率,形成总体需求的预测分布。该模拟器可评估多种定价目标下的反事实价格,包括期望收益和风险敏感型指标(如条件风险价值)。在包含产品描述和图像的在线H&M时尚数据集上测试表明,该校准后的LLM模拟器在所考虑模型中表现最佳,支持样本高效的定价决策。本框架提供了一种实用方法,使大模型能作为缺乏历史数据但信息丰富的商品的需求模拟器。通过输出完整的预测需求分布而非单一点估计,帮助管理者比较候选价格、量化需求不确定性,并选择面向平均收益或风险规避目标的最优价格。

原文摘要 · Abstract (English)

We develop an LLM-powered virtual population model that simulates demand for pricing decisions, in settings where products are described by rich unstructured information, such as text descriptions and images, and where decision makers need not only mean-demand predictions but also uncertainty estimates for counterfactual prices. Our model represents exposed customers as draws from a finite mixture of customer personas. For each persona, product, and candidate price, an LLM elicits a persona-level purchase probability using both structured persona information and unstructured product information. These probabilities are aggregated through calibrated mixture weights to form a predictive distribution of aggregate demand. The resulting simulator can evaluate counterfactual prices under various pricing objectives, including expected revenue and risk-aware criteria such as conditional value at risk. We test the framework on an online H&M fashion dataset with product descriptions and images. The calibrated LLM-based simulator achieves the best overall predictive performance among the models considered, and supports sample-efficient pricing decisions. Our framework provides a practical way to use LLMs as demand simulators for products with limited historical demand data but rich product information. By producing a full predictive demand distribution rather than only a point forecast, it enables managers to compare candidate prices, quantify demand uncertainty, and choose prices that target either average-case revenue or risk-aware objectives.

大模型应用需求模拟智能定价

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