arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2002.11137cs.LGcs.GTstat.ML

Dynamic Incentive-aware Learning: Robust Pricing in Contextual Auctions

Sloan School of Management, Massachusetts Institute of Technology(麻省理工学院斯隆管理学院);University of Southern California(南加州大学);Google Research(谷歌研究院)

Negin Golrezaei, Adel Javanmard, Vahab Mirrokni

英文摘要:

Motivated by pricing in ad exchange markets, we consider the problem of robust learning of reserve prices against strategic buyers in repeated contextual second-price auctions. Buyers' valuations for an item depend on the context that describes the item. However, the seller is not aware of the relationship between the context and buyers' valuations, i.e., buyers' preferences. The seller's goal is to design a learning policy to set reserve prices via observing the past sales data, and her objective is to minimize her regret for revenue, where the regret is computed against a clairvoyant policy that knows buyers' heterogeneous preferences. Given the seller's goal, utility-maximizing buyers have the incentive to bid untruthfully in order to manipulate the seller's learning policy. We propose learning policies that are robust to such strategic behavior. These policies use the outcomes of the auctions, rather than the submitted bids, to estimate the preferences while controlling the long-term effect of the outcome of each auction on the future reserve prices. When the market noise distribution is known to the seller, we propose a policy called Contextual Robust Pricing (CORP) that achieves a T-period regret of $O(d\log(Td) \log (T))$, where $d$ is the dimension of {the} contextual information. When the market noise distribution is unknown to the seller, we propose two policies whose regrets are sublinear in $T$.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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