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Due to numerous applications in retail and (online) advertising the problem of assortment selection has been widely studied under many combinations of discrete choice models and feasibility constraints. In many situations, however, an…

Data Structures and Algorithms · Computer Science 2023-08-11 Vineet Goyal , Salal Humair , Orestis Papadigenopoulos , Assaf Zeevi

We introduce a fully probabilistic framework of consumer product choice based on quality assessment. It allows us to capture many aspects of marketing such as partial information asymmetry, quality differentiation, and product placement in…

Trading and Market Microstructure · Quantitative Finance 2009-01-06 Linyuan Lü , Matus Medo , Yi-Cheng Zhang , Damien Challet

We study the classic divide-and-choose method for equitably allocating divisible goods between two players who are rational, self-interested Bayesian agents. The players have additive values for the goods. The prior distributions on those…

Computer Science and Game Theory · Computer Science 2024-10-22 Jamie Tucker-Foltz , Richard Zeckhauser

A welfare-maximizing designer allocates two kinds of goods using two wasteful screening instruments: ordeals, which enter agents' utilities additively, and damages, which harm agents in proportion to their values for the goods. If agents…

Theoretical Economics · Economics 2026-01-29 Filip Tokarski

With the prevalence of e-commence websites and the ease of online shopping, consumers are embracing huge amounts of various options in products. Undeniably, shopping is one of the most essential activities in our society and studying…

Computer Vision and Pattern Recognition · Computer Science 2017-02-23 Kuan-Ting Chen , Jiebo Luo

We consider a multi-objective optimization problem with objective functions that are expensive to evaluate. The decision maker (DM) has unknown preferences, and so the standard approach is to generate an approximation of the Pareto front…

Machine Learning · Computer Science 2021-05-28 Juan Ungredda , Mariapia Marchi , Teresa Montrone , Juergen Branke

Most existing recommender systems represent a user's preference with a feature vector, which is assumed to be fixed when predicting this user's preferences for different items. However, the same vector cannot accurately capture a user's…

Information Retrieval · Computer Science 2019-08-22 Fan Liu , Zhiyong Cheng , Changchang Sun , Yinglong Wang , Liqiang Nie , Mohan Kankanhalli

I characterize the consumer-optimal market segmentation in competitive markets where multiple firms selling differentiated products to consumers with unit demand. This segmentation is public---in that each firm observes the same market…

General Economics · Economics 2020-11-26 Wenhao Li

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 study markets where firms compete for consumer attention by subsidizing costly product inspection. These subsidies do not change product quality, but they alter the order in which consumers search by lowering inspection costs. We…

Theoretical Economics · Economics 2026-05-29 Salvador Candelas , Nicole Immorlica , Brendan Lucier

We study competition between firms that contract with consumers before the consumers fully learn their product preferences. In a Hotelling duopoly, firms screen consumers by offering menus of option contracts. We characterize the unique…

Theoretical Economics · Economics 2026-04-30 Ian Ball , Deniz Kattwinkel , Jan Knoepfle

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

Discrete-choice models are used in economics, marketing and revenue management to predict customer purchase probabilities, say as a function of prices and other features of the offered assortment. While they have been shown to be…

Artificial Intelligence · Computer Science 2023-08-11 Hanzhao Wang , Zhongze Cai , Xiaocheng Li , Kalyan Talluri

We provide algorithms that learn simple auctions whose revenue is approximately optimal in multi-item multi-bidder settings, for a wide range of valuations including unit-demand, additive, constrained additive, XOS, and subadditive. We…

Computer Science and Game Theory · Computer Science 2017-09-04 Yang Cai , Constantinos Daskalakis

The traditional framework for feature selection treats all features as costing the same amount. However, in reality, a scientist often has considerable discretion regarding which variables to measure, and the decision involves a tradeoff…

Methodology · Statistics 2023-02-14 Guo Yu , Daniela Witten , Jacob Bien

Product personalization opens the door to price discrimination. A rich product line allows firms to better tailor products to consumers' tastes, but the mere choice of a product carries valuable information about consumers that can be…

Theoretical Economics · Economics 2023-07-19 Laura Doval , Vasiliki Skreta

We propose a new method for analyzing a set of parameters in a multiple criteria ranking method. Unlike the existing techniques, we do not use any optimization technique, instead incorporating and extending a Segmenting Description…

Artificial Intelligence · Computer Science 2019-03-06 Milosz Kadzinski , Jan Badura , Jose Rui Figueira

We introduce sparse random projection, an important dimension-reduction tool from machine learning, for the estimation of discrete-choice models with high-dimensional choice sets. Initially, high-dimensional data are compressed into a…

Machine Learning · Statistics 2016-04-21 Khai X. Chiong , Matthew Shum

In B2B markets, value-based pricing and selling has become an important alternative to discounting. This study outlines a modeling method that uses customer data (product offers made to each current or potential customer, features,…

Econometrics · Economics 2023-08-16 John V. Colias , Stella Park , Elizabeth Horn

This chapter presents key concepts and theoretical results for analyzing estimation and inference in high-dimensional models. High-dimensional models are characterized by having a number of unknown parameters that is not vanishingly small…

Statistics Theory · Mathematics 2018-06-12 Alexandre Belloni , Victor Chernozhukov , Denis Chetverikov , Christian Hansen , Kengo Kato
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