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We consider markets consisting of a set of indivisible items, and buyers that have {\em sharp} multi-unit demand. This means that each buyer $i$ wants a specific number $d_i$ of items; a bundle of size less than $d_i$ has no value, while a…

Computer Science and Game Theory · Computer Science 2015-03-13 Ning Chen , Xiaotie Deng , Paul. W. Goldberg , Jinshan Zhang

This paper develops learning-augmented algorithms for energy trading in volatile electricity markets. The basic problem is to sell (or buy) $k$ units of energy for the highest revenue (lowest cost) over uncertain time-varying prices, which…

Machine Learning · Computer Science 2024-02-29 Russell Lee , Bo Sun , Mohammad Hajiesmaili , John C. S. Lui

We study a continuous-time expected utility maximization problem in which the investor at maturity receives the value of a contingent claim in addition to the investment payoff from the financial market. The investor knows nothing about the…

Mathematical Finance · Quantitative Finance 2023-07-17 Yunhong Li , Zuo Quan Xu , Xun Yu Zhou

As recommender systems become increasingly central for sorting and prioritizing the content available online, they have a growing impact on the opportunities or revenue of their items producers. For instance, they influence which recruiter…

Information Retrieval · Computer Science 2022-09-28 Nicolas Usunier , Virginie Do , Elvis Dohmatob

We investigate brokerage between traders from an online learning perspective. At any round $t$, two traders arrive with their private valuations, and the broker proposes a trading price. Unlike other bilateral trade problems already studied…

Machine Learning · Computer Science 2023-10-19 Nataša Bolić , Tommaso Cesari , Roberto Colomboni

We study a general robust utility maximization problem in a discrete-time frictionless market. The investor is assumed to have a possibly infinite, random, nonconcave, and nondecreasing utility function defined on the whole real line. She…

Mathematical Finance · Quantitative Finance 2025-10-14 Laurence Carassus , Massinissa Ferhoune

In this work, we investigate the online learning problem of revenue maximization in ad auctions, where the seller needs to learn the click-through rates (CTRs) of each ad candidate and charge the price of the winner through a pay-per-click…

Information Retrieval · Computer Science 2024-03-05 Zhe Feng , Christopher Liaw , Zixin Zhou

Motivated by online retail, we consider the problem of selling one item (e.g., an ad slot) to two non-excludable buyers (say, a merchant and a brand). This problem captures, for example, situations where a merchant and a brand cooperatively…

Computer Science and Game Theory · Computer Science 2025-05-26 Gagan Aggarwal , Ashwinkumar Badanidiyuru , Paul Dütting , Federico Fusco

In the knapsack problem under explorable uncertainty, we are given a knapsack instance with uncertain item profits. Instead of having access to the precise profits, we are only given uncertainty intervals that are guaranteed to contain the…

Data Structures and Algorithms · Computer Science 2025-07-04 Jens Schlöter

We study the pricing behavior of third-party platforms facing strategic agents. Assuming the platform is a revenue maximizer, it observes market features that generally affect demand. Since only the equilibrium price and quantity are…

Machine Learning · Computer Science 2025-12-30 Rui Ai , David Simchi-Levi , Feng Zhu

We consider a stochastic lost-sales inventory control system with a lead time $L$ over a planning horizon $T$. Supply is uncertain, and is a function of the order quantity (due to random yield/capacity, etc). We aim to minimize the…

Optimization and Control · Mathematics 2023-11-01 Boxiao Chen , Jiashuo Jiang , Jiawei Zhang , Zhengyuan Zhou

We investigate an optimization problem in a queueing system where the service provider selects the optimal service fee p and service capacity \mu to maximize the cumulative expected profit (the service revenue minus the capacity cost and…

Optimization and Control · Mathematics 2025-08-12 Xinyun Chen , Guiyu Hong , Yunan Liu

Distributed and iterative network utility maximization algorithms, such as the primal-dual algorithms or the network-user decomposition algorithms, often involve trajectories where the iterates may be infeasible, convergence to the optimal…

Optimization and Control · Mathematics 2018-12-11 Akhil P T , Rajesh Sundaresan

Recently, there is growing interest and need for dynamic pricing algorithms, especially, in the field of online marketplaces by offering smart pricing options for big online stores. We present an approach to adjust prices based on the…

Optimization and Control · Mathematics 2021-01-13 David Müller , Yurii Nesterov , Vladimir Shikhman

We develop an optimization model and corresponding algorithm for the management of a demand-side platform (DSP), whereby the DSP aims to maximize its own profit while acquiring valuable impressions for its advertiser clients. We formulate…

Optimization and Control · Mathematics 2017-06-07 Paul Grigas , Alfonso Lobos , Zheng Wen , Kuang-chih Lee

We study the problem of a seller dynamically pricing $d$ distinct types of indivisible goods, when faced with the online arrival of unit-demand buyers drawn independently from an unknown distribution. The goods are not in limited supply,…

Data Structures and Algorithms · Computer Science 2017-06-13 Aaron Roth , Aleksandrs Slivkins , Jonathan Ullman , Zhiwei Steven Wu

This paper develops an online algorithm to solve a time-varying optimization problem with an objective that comprises a known time-varying cost and an unknown function. This problem structure arises in a number of engineering systems and…

Optimization and Control · Mathematics 2021-11-29 Andrea Simonetto , Emiliano Dall'Anese , Julien Monteil , Andrey Bernstein

We consider revenue maximization in online auction/pricing problems. A seller sells an identical item in each period to a new buyer, or a new set of buyers. For the online posted pricing problem, we show regret bounds that scale with the…

Computer Science and Game Theory · Computer Science 2018-09-13 Sébastien Bubeck , Nikhil R. Devanur , Zhiyi Huang , Rad Niazadeh

We propose a novel algorithm for online resource allocation with non-stationary customer arrivals and unknown click-through rates. We assume multiple types of customers arrive in a nonstationary stochastic fashion, with unknown arrival…

Machine Learning · Computer Science 2024-06-04 Xiaoyue Zhang , Hanzhang Qin , Mabel C. Chou

We study optimal monopoly pricing over consumer networks governed by general nonlinear utilities. In our framework, a consumer's utility is jointly determined by an individualized price and the consumption choices of their peers, propagated…

Statistics Theory · Mathematics 2026-05-15 Daniele Bracale , George Michailidis