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Paper · arXiv

Online Market Making and the Value of Observing the Order Book

We study an online market-making problem in which a learner sequentially posts bid and ask prices for a single asset while interacting with traders holding private valuations. Unlike existing online learning formulations that assume fully censored feedback, we introduce an action-dependent feedback model inspired by real limit order books: when a trade occurs, the trader's valuation remains hidden, whereas when no trade occurs, informative feedback about supply and demand is revealed. We show that this additional information fundamentally changes the learnability of the problem. In the stochastic setting with i.i.d. market prices, we propose an elimination-based algorithm that achieves $O...

AuthorsDavide Maran, Marcello Restelli
Primary categorycs.LG
Published19 May 2026
Last updated at source19 May 2026
cs.LGstat.ML
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