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Dynamic treatment regimes are treatment allocations tailored to heterogeneous individuals. The optimal dynamic treatment regime is a regime that maximizes counterfactual welfare. We introduce a framework in which we can partially learn the…

Econometrics · Economics 2021-07-14 Sukjin Han

We study the problem of selling $n$ items to a single buyer with an additive valuation function. We consider the valuation of the items to be correlated, i.e., desirabilities of the buyer for the items are not drawn independently. Ideally,…

Computer Science and Game Theory · Computer Science 2015-07-23 MohammadHossein Bateni , Sina Dehghani , MohammadTaghi Hajiaghayi , Saeed Seddighin

We study an online version of the max-min fair allocation problem for indivisible items. In this problem, items arrive one by one, and each item must be allocated irrevocably on arrival to one of $n$ agents, who have additive valuations for…

Computer Science and Game Theory · Computer Science 2021-11-16 Yasushi Kawase , Hanna Sumita

We resolve the complexity of revenue-optimal deterministic auctions in the unit-demand single-buyer Bayesian setting, i.e., the optimal item pricing problem, when the buyer's values for the items are independent. We show that the problem of…

Computer Science and Game Theory · Computer Science 2017-02-24 Xi Chen , Ilias Diakonikolas , Dimitris Paparas , Xiaorui Sun , Mihalis Yannakakis

We consider a revenue-maximizing seller with $n$ items facing a single buyer. We introduce the notion of symmetric menu complexity of a mechanism, which counts the number of distinct options the buyer may purchase, up to permutations of the…

Computer Science and Game Theory · Computer Science 2020-05-08 Pravesh Kothari , Divyarthi Mohan , Ariel Schvartzman , Sahil Singla , S. Matthew Weinberg

This paper introduces a novel contextual bandit algorithm for personalized pricing under utility fairness constraints in scenarios with uncertain demand, achieving an optimal regret upper bound. Our approach, which incorporates dynamic…

Machine Learning · Statistics 2023-11-29 Xi Chen , David Simchi-Levi , Yining Wang

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

In this paper, we study the dynamic assortment optimization problem under a finite selling season of length $T$. At each time period, the seller offers an arriving customer an assortment of substitutable products under a cardinality…

Econometrics · Economics 2019-01-21 Xi Chen , Yining Wang , Yuan Zhou

A monopolist wishes to maximize her profits by finding an optimal price policy. After she announces a menu of products and prices, each agent $x$ will choose to buy that product $y(x)$ which maximizes his own utility, if positive. The…

Optimization and Control · Mathematics 2021-02-12 Robert J. McCann , Kelvin Shuangjian Zhang

A recent line of research has established a novel desideratum for designing approximately-revenue-optimal multi-item mechanisms, namely the buy-many constraint. Under this constraint, prices for different allocations made by the mechanism…

Computer Science and Game Theory · Computer Science 2024-05-17 Shuchi Chawla , Rojin Rezvan , Yifeng Teng , Christos Tzamos

We provide a near-optimal, computationally efficient algorithm for the unit-demand pricing problem, where a seller wants to price n items to optimize revenue against a unit-demand buyer whose values for the items are independently drawn…

Computer Science and Game Theory · Computer Science 2014-10-28 Yang Cai , Constantinos Daskalakis

Recently Cole and Gkatzelis gave the first constant factor approximation algorithm for the problem of allocating indivisible items to agents, under additive valuations, so as to maximize the Nash Social Welfare. We give constant factor…

Computer Science and Game Theory · Computer Science 2017-04-10 Nima Anari , Tung Mai , Shayan Oveis Gharan , Vijay V. Vazirani

Pricing based on individual customer characteristics is widely used to maximize sellers' revenues. This work studies offline personalized pricing under endogeneity using an instrumental variable approach. Standard instrumental variable…

Methodology · Statistics 2023-02-27 Rui Miao , Zhengling Qi , Cong Shi , Lin Lin

Pooled testing is a common strategy for public health disease screening under limited testing resources, allowing multiple biological samples to be tested together with the resources of a single test, at the cost of reduced individual…

Computer Science and Game Theory · Computer Science 2026-02-02 Nicholas Lopez , Francisco Marmolejo-Cossío , Jose Roberto Tello Ayala , David C. Parkes

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

A fundamental economic question is that of designing revenue-maximizing mechanisms in dynamic environments. This paper considers a simple yet compelling market model to tackle this question, where forward-looking buyers arrive at the market…

Theoretical Economics · Economics 2024-10-16 Jose Correa , Andres Cristi , Laura Vargas Koch

Motivated by applications such as cloud platforms allocating GPUs to users or governments deploying mobile health units across competing regions, we study the dynamic allocation of a reusable resource to strategic agents with private…

Computer Science and Game Theory · Computer Science 2025-07-15 Yan Dai , Negin Golrezaei , Patrick Jaillet

We model a market in which nonstrategic vendors sell items of different types and offer bundles at discounted prices triggered by demand volumes. Each buyer acts strategically in order to maximize her utility, given by the difference…

Computer Science and Game Theory · Computer Science 2016-03-02 Lorenzo Coviello , Yiling Chen , Massimo Franceschetti

We consider the classical mathematical economics problem of {\em Bayesian optimal mechanism design} where a principal aims to optimize expected revenue when allocating resources to self-interested agents with preferences drawn from a known…

Computer Science and Game Theory · Computer Science 2010-01-15 Shuchi Chawla , Jason Hartline , David Malec , Balasubramanian Sivan

When launching new products, firms face uncertainty about market reception. Online reviews provide valuable information not only to consumers but also to firms, allowing firms to adjust the product characteristics, including its selling…

Machine Learning · Computer Science 2024-04-24 José Correa , Mathieu Mari , Andrew Xia