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Related papers: Multi-Item Screening with a Maximin-Ratio Objectiv…

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Assortment optimization is a fundamental challenge in modern retail and recommendation systems, where the goal is to select a subset of products that maximizes expected revenue under complex customer choice behaviors. While recent advances…

Machine Learning · Statistics 2026-03-11 Miao Lu , Yuxuan Han , Han Zhong , Zhengyuan Zhou , Jose Blanchet

In this paper, we solve the multiple product price optimization problem under interval uncertainties of the price sensitivity parameters in the demand function. The objective of the price optimization problem is to maximize the overall…

Optimization and Control · Mathematics 2021-07-01 Mahdi Hamzeei , Alvin Lim , Jiefeng Xu

In this paper, we present the first approximation algorithms for the problem of designing revenue optimal Bayesian incentive compatible auctions when there are multiple (heterogeneous) items and when bidders can have arbitrary demand and…

Computer Science and Game Theory · Computer Science 2010-03-30 Sayan Bhattacharya , Gagan Goel , Sreenivas Gollapudi , Kamesh Munagala

We study the problem of designing revenue-maximizing mechanisms for a selfish mediator who facilitates trade between a buyer and a seller. We consider a setting where the mediator does not have information advantage and the buyer's…

Computer Science and Game Theory · Computer Science 2026-03-10 Zhikang Fan , Weiran Shen , Shaojie Tang , Yao Wang

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

We study multi-buyer multi-item sequential item pricing mechanisms for revenue maximization with the goal of approximating a natural fractional relaxation -- the ex ante optimal revenue. We assume that buyers' values are subadditive but…

Computer Science and Game Theory · Computer Science 2024-04-24 Shuchi Chawla , Dimitris Christou , Trung Dang , Zhiyi Huang , Gregory Kehne , Rojin Rezvan

We study the multi-item mechanism design problem where a monopolist sells $n$ heterogeneous items to a single buyer. We focus on buy-many mechanisms, a natural class of mechanisms frequently used in practice. The buy-many property allows…

Computer Science and Game Theory · Computer Science 2020-03-25 Shuchi Chawla , Yifeng Teng , Christos Tzamos

Most work in mechanism design assumes that buyers are risk neutral; some considers risk aversion arising due to a non-linear utility for money. Yet behavioral studies have established that real agents exhibit risk attitudes which cannot be…

Computer Science and Game Theory · Computer Science 2018-03-13 Shuchi Chawla , Kira Goldner , J. Benjamin Miller , Emmanouil Pountourakis

Classical Bayesian mechanism design relies on the common prior assumption, but such prior is often not available in practice. We study the design of prior-independent mechanisms that relax this assumption: the seller is selling an…

Theoretical Economics · Economics 2024-12-12 Jerry Anunrojwong , Santiago R. Balseiro , Omar Besbes

This paper studies a monopolist selling multiple goods to a consumer with one-dimensional private types. I provide a sufficient condition under which the monopolist's problem is equivalent to finding the upper envelope of the marginal…

Theoretical Economics · Economics 2025-10-28 Zhiming Feng

In fair division of indivisible goods, $\ell$-out-of-$d$ maximin share (MMS) is the value that an agent can guarantee by partitioning the goods into $d$ bundles and choosing the $\ell$ least preferred bundles. Most existing works aim to…

Computer Science and Game Theory · Computer Science 2022-05-30 Hadi Hosseini , Andrew Searns , Erel Segal-Halevi

This paper is concerned with personalized pricing models aimed at maximizing the expected revenues or profits for a single item. While it is essential for personalized pricing to predict the purchase probabilities for each consumer, these…

Optimization and Control · Mathematics 2024-07-23 Shunnosuke Ikeda , Naoki Nishimura , Noriyoshi Sukegawa , Yuichi Takano

We study the canonical problem of maximizing a stochastic submodular function subject to a cardinality constraint, where the goal is to select a subset from a ground set of items with uncertain individual performances to maximize their…

Data Structures and Algorithms · Computer Science 2019-05-10 Shreyas Sekar , Milan Vojnovic , Se-Young Yun

We study allocation mechanisms that utilize costly signaling as a screening tool. A social planner aims to maximize social welfare, defined as the weighted sum of agents' utilities, while implementing a specific allocation rule. Within a…

Theoretical Economics · Economics 2026-03-04 Yingkai Li , Xiaoyun Qiu

We study a submodular maximization problem motivated by applications in online retail. A platform displays a list of products to a user in response to a search query. The user inspects the first $k$ items in the list for a $k$ chosen at…

Computer Science and Game Theory · Computer Science 2022-10-24 Arash Asadpour , Rad Niazadeh , Amin Saberi , Ali Shameli

Signaling is an important topic in the study of asymmetric information in economic settings. In particular, the transparency of information available to a seller in an auction setting is a question of major interest. We introduce the study…

Computer Science and Game Theory · Computer Science 2012-04-26 Yuval Emek , Michal Feldman , Iftah Gamzu , Renato Paes Leme , Moshe Tennenholtz

This paper presents a novel distributed robust optimization scheme for steering distributions of multi-agent systems under stochastic and deterministic uncertainty. Robust optimization is a subfield of optimization which aims to discover an…

Robotics · Computer Science 2025-01-31 Arshiya Taj Abdul , Augustinos D. Saravanos , Evangelos A. Theodorou

For effective decision support in scenarios with conflicting objectives, sets of potentially optimal solutions can be presented to the decision maker. We explore both what policies these sets should contain and how such sets can be computed…

Artificial Intelligence · Computer Science 2023-07-19 Willem Röpke , Conor F. Hayes , Patrick Mannion , Enda Howley , Ann Nowé , Diederik M. Roijers

In this paper, we study a bivariate distributionally robust optimization problem with mean-covariance ambiguity set and half-space support. Under a conventional type of objective function widely adopted in inventory management, option…

Optimization and Control · Mathematics 2023-01-12 Jiayi Guo , Hao Qiu , Zhen Wang , Zizhuo Wang , Xinxin Zhang

We introduce a new numerical framework to learn optimal bidding strategies in repeated auctions when the seller uses past bids to optimize her mechanism. Crucially, we do not assume that the bidders know what optimization mechanism is used…

Computer Science and Game Theory · Computer Science 2021-02-09 Thomas Nedelec , Jules Baudet , Vianney Perchet , Noureddine El Karoui