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Given data on the choices made by consumers for different offer sets, a key challenge is to develop parsimonious models that describe and predict consumer choice behavior while being amenable to prescriptive tasks such as pricing and…

Machine Learning · Statistics 2025-04-15 Yanqiu Ruan , Xiaobo Li , Karthyek Murthy , Karthik Natarajan

We consider a principal who wishes to screen an agent with \emph{discrete} types by offering a menu of \emph{discrete} quantities and \emph{discrete} transfers. We assume that the principal's valuation is discrete strictly concave and use a…

Theoretical Economics · Economics 2025-10-27 Alejandro Francetich , Burkhard C. Schipper

We study optimal bundling when consumers differ in one dimension. We introduce a partial order on the set of bundles defined by (i) set inclusion and (ii) sales volumes (if sold alone and priced optimally). We show that if the undominated…

Theoretical Economics · Economics 2023-04-11 Frank Yang

We characterize the extreme points of the set of incentive-compatible mechanisms for screening problems with linear utility. Our framework subsumes problems with and without transfers, such as monopoly pricing, principal-optimal bilateral…

Theoretical Economics · Economics 2025-10-24 Patrick Lahr , Axel Niemeyer

We consider the problem of designing auctions which maximize consumer surplus (i.e., the social welfare minus the payments charged to the buyers). In the consumer surplus maximization problem, a seller with a set of goods faces a set of…

Computer Science and Game Theory · Computer Science 2025-03-18 Tomer Ezra , Daniel Schoepflin , Ariel Shaulker

We consider a monopolist seller with $n$ heterogeneous items, facing a single buyer. The buyer has a value for each item drawn independently according to (non-identical) distributions, and her value for a set of items is additive. The…

Computer Science and Game Theory · Computer Science 2020-08-03 Moshe Babaioff , Nicole Immorlica , Brendan Lucier , S. Matthew Weinberg

Assortment optimization has received active explorations in the past few decades due to its practical importance. Despite the extensive literature dealing with optimization algorithms and latent score estimation, uncertainty quantification…

Machine Learning · Statistics 2023-05-05 Shuting Shen , Xi Chen , Ethan X. Fang , Junwei Lu

Portfolio sorting is ubiquitous in the empirical finance literature, where it has been widely used to identify pricing anomalies. Despite its popularity, little attention has been paid to the statistical properties of the procedure. We…

Econometrics · Economics 2020-07-21 Matias D. Cattaneo , Richard K. Crump , Max H. Farrell , Ernst Schaumburg

We efficiently solve the optimal multi-dimensional mechanism design problem for independent bidders with arbitrary demand constraints when either the number of bidders is a constant or the number of items is a constant. In the first…

Computer Science and Game Theory · Computer Science 2011-12-20 Constantinos Daskalakis , S. Matthew Weinberg

We study the optimal pricing strategies of a monopolist selling a divisible good (service) to consumers that are embedded in a social network. A key feature of our model is that consumers experience a (positive) local network effect. In…

Computer Science and Game Theory · Computer Science 2011-01-31 Ozan Candogan , Kostas Bimpikis , Asuman Ozdaglar

We analyze digital markets where a monopolist platform uses data to match multiproduct sellers with heterogeneous consumers who can purchase both on and off the platform. The platform sells targeted ads to sellers that recommend their…

Theoretical Economics · Economics 2023-04-18 Dirk Bergemann , Alessandro Bonatti

Personalized pricing is a business strategy to charge different prices to individual consumers based on their characteristics and behaviors. It has become common practice in many industries nowadays due to the availability of a growing…

Computers and Society · Computer Science 2022-02-22 Renzhe Xu , Xingxuan Zhang , Peng Cui , Bo Li , Zheyan Shen , Jiazheng Xu

We study a screening problem in which an agent privately observes a set of feasible technologies and can strategically disclose only a subset to the principal. The principal then takes an action whose payoff consequences for both players…

Theoretical Economics · Economics 2026-01-23 Tan Gan , Yingkai Li

Many real-world decision-making problems involve optimizing multiple objectives simultaneously, rendering the selection of the most preferred solution a non-trivial problem: All Pareto optimal solutions are viable candidates, and it is…

Artificial Intelligence · Computer Science 2025-11-17 Niclas Boehmer , Maximilian T. Wittmann

This work is concerned with the estimation of multidimensional regression and the asymptotic behaviour of the test involved in selecting models. The main problem with such models is that we need to know the covariance matrix of the noise to…

Statistics Theory · Mathematics 2008-02-20 Joseph Rynkiewicz

We consider a multiproduct monopoly pricing model. We provide sufficient conditions under which the optimal mechanism can be implemented via upgrade pricing -- a menu of product bundles that are nested in the strong set order. Our approach…

Computer Science and Game Theory · Computer Science 2021-12-03 Dirk Bergemann , Alessandro Bonatti , Andreas Haupt , Alex Smolin

Price discrimination for maximizing expected profit is a well-studied concept in economics and there are various methods that achieve the maximum given the user type distribution and the budget constraints. In many applications,…

General Economics · Economics 2021-03-03 Ghurumuruhan Ganesan

This paper studies ranking policies in a stylized trial-offer marketplace model, in which a single firm offers products and has consumers with heterogeneous preferences. Consumer trials are influenced by past purchases and the ranking of…

Social and Information Networks · Computer Science 2021-02-11 Franco Berbeglia , Gerardo Berbeglia , Pascal Van Hentenryck

The robust multi-product pricing problem is to determine the prices of a collection of products so as to maximize the worst-case revenue, where the worst case is taken over an uncertainty set of demand models that the firm expects could be…

Optimization and Control · Mathematics 2025-02-17 Xinyi Guan , Velibor V. Mišić

Importance sampling is a promising variance reduction technique for Monte Carlo simulation based derivative pricing. Existing importance sampling methods are based on a parametric choice of the proposal. This article proposes an algorithm…

Applications · Statistics 2009-04-14 Jan C. Neddermeyer