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Dynamic Pricing and Advertising with Demand Learning

Agrawal, Shipra et al. · 2023 · arxiv_all
arXiv (All) · Papers · 2023
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computer-science-and-game-theorymachine-learning
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[2304.14385] Dynamic Pricing and Advertising with Demand Learning Skip to main content Search Submit Donate Log in Search arXiv Press Enter to search · Advanced search Computer Science > Computer Science and Game Theory arXiv:2304.14385 (cs) [Submitted on 27 Apr 2023 ( v1 ), last revised 15 Aug 2026 (this version, v4)] Title: Dynamic Pricing and Advertising with Demand Learning Authors: Shipra Agrawal , Yiding Feng , Wei Tang View a PDF of the paper titled Dynamic Pricing and Advertising with Demand Learning, by Shipra Agrawal and 2 other authors View PDF Abstract: We consider a novel pricing and advertising framework in which a seller not only sets the product price but also designs flexible advertising schemes to influence customers' valuations of the product. We impose no structural restriction on the seller's feasible advertising strategies and allow her to advertise the product by disclosing or concealing any information. Following the information design literature, we model this fully flexible advertising as the seller choosing an arbitrary information policy that signals the product quality to customers. Customers observe the advertising signal and form a Bayesian posterior belief over the product quality. We investigate two questions in this work: (1) What is the value of advertising? To what extent can advertising enhance a seller's revenue? (2) Without any a priori knowledge of the customers' demand function, how can a seller adaptively learn and optimize both pricing and advertising strategies using past purchase responses? To study the first question, we quantify the value of advertising by comparing the optimal revenue from jointly designing advertising and a single posted price with the optimal revenue from pricing alone. We show that advertising can increase revenue by at most a factor of two, and this bound is tight. For the second question, we study the seller's dynamic pricing and advertising problem under demand uncertainty. Our main result for this question is a computationally efficient online algorithm that achieves the optimal $O(T^{2/3} (m\log T)^{1/3})$ regret rate when the valuation function is linear in the product quality. Here, $m$ is the cardinality of the discrete product quality domain and $T$ is the time horizon. Comments: Updated new versions, include more results Subjects: Computer Science and Game Theory (cs.GT) ; Machine Learning (cs.LG) Cite as: arXiv:2304.14385 [cs.GT] (or arXiv:2304.14385v4 [cs.GT] for this version) https://doi.org/10.48550/arXiv.2304.14385 Focus to learn more arXiv-issued DOI via DataCite Submission history From: Wei Tang [ view email ] [v1] Thu, 27 Apr 2023 17:52:06 UTC (99 KB) [v2] Sun, 10 Dec 2023 22:39:36 UTC (107 KB) [v3] Wed, 11 Dec 2024 15:22:52 UTC (1,701 KB) [v4] Sat, 15 Aug 2026 01:25:52 UTC (2,170 KB) Full-text links: Access Paper: View a PDF of the paper titled Dynamic Pricing and Advertising with Demand Learning, by Shipra Agrawal and 2 other authors View PDF TeX Source view license Current browse context: cs.GT < prev | next > new | recent | 2023-04 Change to browse by: cs cs.LG References & Citations NASA ADS Google Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... 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