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We study online assortment optimization under stochastic choice when a decision maker simultaneously values cumulative revenue performance and the quality of post-hoc inference on revenue contrasts. We analyze a forced-exploration…

Machine Learning · Statistics 2026-04-27 Jierui Zuo , Hanzhang Qin

In this paper we consider the problem of pricing multiple differentiated products. This is challenging as a price change in one product, not only changes the demand of that particular product, but also the demand for the other products. To…

Optimization and Control · Mathematics 2017-10-27 Ruben van de Geer , Sandjai Bhulai

Personalized pricing analytics is becoming an essential tool in retailing. Upon observing the personalized information of each arriving customer, the firm needs to set a price accordingly based on the covariates such as income, education…

Machine Learning · Computer Science 2020-02-18 Ningyuan Chen , Guillermo Gallego

We study the problems of offline and online contextual optimization with feedback information, where instead of observing the loss, we observe, after-the-fact, the optimal action an oracle with full knowledge of the objective function would…

Machine Learning · Computer Science 2023-07-04 Omar Besbes , Yuri Fonseca , Ilan Lobel

This paper studies an online selection problem, where a seller seeks to sequentially sell multiple copies of an item to arriving buyers. We consider an adversarial setting, making no modeling assumptions about buyers' valuations for the…

Computer Science and Game Theory · Computer Science 2024-10-11 Bo Sun , Hossein Nekouyan Jazi , Xiaoqi Tan , Raouf Boutaba

We address the problem of learning in an online setting where the learner repeatedly observes features, selects among a set of actions, and receives reward for the action taken. We provide the first efficient algorithm with an optimal…

Machine Learning · Computer Science 2011-06-17 Miroslav Dudik , Daniel Hsu , Satyen Kale , Nikos Karampatziakis , John Langford , Lev Reyzin , Tong Zhang

In this paper, we introduce a Bayesian revenue-maximizing mechanism design model where the items have fixed, exogenously-given prices. Buyers are unit-demand and have an ordinal ranking over purchasing either one of these items at its given…

Computer Science and Game Theory · Computer Science 2020-10-16 Will Ma

Product ranking is the core problem for revenue-maximizing online retailers. To design proper product ranking algorithms, various consumer choice models are proposed to characterize the consumers' behaviors when they are provided with a…

Machine Learning · Computer Science 2023-01-03 Renzhe Xu , Xingxuan Zhang , Bo Li , Yafeng Zhang , Xiaolong Chen , Peng Cui

We consider the problem of learning optimal reserve price in repeated auctions against non-myopic bidders, who may bid strategically in order to gain in future rounds even if the single-round auctions are truthful. Previous algorithms,…

Computer Science and Game Theory · Computer Science 2018-05-01 Zhiyi Huang , Jinyan Liu , Xiangning Wang

The contextual duelling bandit problem models adaptive recommender systems, where the algorithm presents a set of items to the user, and the user's choice reveals their preference. This setup is well suited for implicit choices users make…

Machine Learning · Computer Science 2025-08-27 Suryanarayana Sankagiri , Jalal Etesami , Pouria Fatemi , Matthias Grossglauser

We consider a dynamic pricing problem for repeated contextual second-price auctions with multiple strategic buyers who aim to maximize their long-term time discounted utility. The seller has limited information on buyers' overall demand…

Machine Learning · Computer Science 2023-02-08 Negin Golrezaei , Patrick Jaillet , Jason Cheuk Nam Liang

First-price auctions have very recently swept the online advertising industry, replacing second-price auctions as the predominant auction mechanism on many platforms. This shift has brought forth important challenges for a bidder: how…

Machine Learning · Computer Science 2025-09-26 Yanjun Han , Zhengyuan Zhou , Aaron Flores , Erik Ordentlich , Tsachy Weissman

We consider bidding in repeated Bayesian first-price auctions. Bidding algorithms that achieve optimal regret have been extensively studied, but their strategic robustness to the seller's manipulation remains relatively underexplored.…

Computer Science and Game Theory · Computer Science 2026-02-13 Yang Cai , Haipeng Luo , Chen-Yu Wei , Weiqiang Zheng

We consider an online assortment problem with $[n]:=\{1,2,\ldots,n\}$ sellers, each holding exactly one item $i\in[n]$ with initial inventory $c_i\in \mathbb{Z}_+$, and a sequence of homogeneous buyers arriving over a finite time horizon…

Computer Science and Game Theory · Computer Science 2021-12-10 S. Rasoul Etesami

We consider assortment and inventory planning problems with dynamic stockout-based substitution effects, and without replenishment, in two different settings: (1) Customers can see all available products when they arrive, a typical scenario…

Optimization and Control · Mathematics 2025-01-09 Shuo Sun , Rajan Udwani , Zuo-Jun Max Shen

In this paper, we consider combinatorial reinforcement learning with preference feedback, where a learning agent sequentially offers an action--an assortment of multiple items to--a user, whose preference feedback follows a multinomial…

Machine Learning · Statistics 2025-06-06 Joongkyu Lee , Min-hwan Oh

We study revenue optimization learning algorithms for repeated posted-price auctions where a seller interacts with a single strategic buyer that holds a fixed private valuation for a good and seeks to maximize his cumulative discounted…

Computer Science and Game Theory · Computer Science 2018-02-09 Alexey Drutsa

We consider dynamic pricing with covariates under a generalized linear demand model: a seller can dynamically adjust the price of a product over a horizon of $T$ time periods, and at each time period $t$, the demand of the product is…

Machine Learning · Computer Science 2023-11-14 Hanzhao Wang , Kalyan Talluri , Xiaocheng Li

In the online sorting problem, $n$ items are revealed one by one and have to be placed (immediately and irrevocably) into empty cells of a size-$n$ array. The goal is to minimize the sum of absolute differences between items in consecutive…

Data Structures and Algorithms · Computer Science 2024-06-28 Mikkel Abrahamsen , Ioana O. Bercea , Lorenzo Beretta , Jonas Klausen , László Kozma

Given a set $V$ of $n$ objects, an online ranking system outputs at each time step a full ranking of the set, observes a feedback of some form and suffers a loss. We study the setting in which the (adversarial) feedback is an element in…

Machine Learning · Computer Science 2013-10-15 Nir Ailon