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We introduce an efficient computational framework for solving a class of multi-marginal martingale optimal transport problems, which includes many robust pricing problems of large financial interest. Such problems are typically…

Computational Finance · Quantitative Finance 2025-03-21 Linn Engström , Sigrid Källblad , Johan Karlsson

Optimal shelflisting invites profit maximization to become sensitive to the ways in which purchasing decisions are order-dependent. We study the computational complexity of the corresponding product arrangement problem when consumers are…

Computer Science and Game Theory · Computer Science 2016-11-15 Yongjie Yang , Dinko Dimitrov

We consider an assortment optimization problem under the multinomial logit choice model with general covering constraints. In this problem, the seller offers an assortment that should contain a minimum number of products from multiple…

Optimization and Control · Mathematics 2025-10-06 Omar El Housni , Qing Feng , Huseyin Topaloglu

We propose a combinatorial ascending auction that is "approximately" optimal, requiring minimal rationality to achieve this level of optimality, and is robust to strategic and distributional uncertainties. Specifically, the auction is…

Theoretical Economics · Economics 2024-08-23 Wei He , Jiangtao Li , Weijie Zhong

Recommender systems have emerged as a new weapon to help online firms to realize many of their strategic goals (e.g., to improve sales, revenue, customer experience etc.). However, many existing techniques commonly approach these goals by…

Information Retrieval · Computer Science 2012-12-11 Shuang-Hong Yang

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 study undominated mechanisms with transfers for regulating a monopolist who privately observes the marginal cost of production. We show that in any undominated mechanism, there is a quantity floor, which depends only on the primitives,…

Theoretical Economics · Economics 2025-05-13 Debasis Mishra , Sanket Patil

We study the combinatorial assignment domain, which includes combinatorial auctions and course allocation. The main challenge in this domain is that the bundle space grows exponentially in the number of items. To address this, several…

Machine Learning · Computer Science 2023-03-14 Jakob Weissteiner , Jakob Heiss , Julien Siems , Sven Seuken

Addressable self-assembly is the formation of a target structure from a set of unique molecular or colloidal building-blocks, each of which occupies a defined location in the target. The requirement that each type of building-block appears…

Soft Condensed Matter · Physics 2019-12-03 Jim Madge , David Bourne , Mark A. Miller

Motivated by the problem of selling large, proprietary data, we consider an information pricing problem proposed by Bergemann et al. that involves a decision-making buyer and a monopolistic seller. The seller has access to the underlying…

Computer Science and Game Theory · Computer Science 2026-03-26 Andrew Li , R. Ravi , Karan Singh , Zihong Yi , Weizhong Zhang

We study the menu complexity of optimal and approximately-optimal auctions in the context of the "FedEx" problem, a so-called "one-and-a-half-dimensional" setting where a single bidder has both a value and a deadline for receiving an…

Computer Science and Game Theory · Computer Science 2017-11-08 Raghuvansh R. Saxena , Ariel Schvartzman , S. Matthew Weinberg

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

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

We study a sequential profit-maximization problem, optimizing for both price and ancillary variables like marketing expenditures. Specifically, we aim to maximize profit over an arbitrary sequence of multiple demand curves, each dependent…

Machine Learning · Computer Science 2024-07-09 Joon Suk Huh , Ellen Vitercik , Kirthevasan Kandasamy

Algorithmic recommender systems such as Spotify and Netflix affect not only consumer behavior but also producer incentives. Producers seek to create content that will be shown by the recommendation algorithm, which can impact both the…

Computer Science and Game Theory · Computer Science 2023-12-12 Meena Jagadeesan , Nikhil Garg , Jacob Steinhardt

We study the mechanism design problem of selling $k$ items to unit-demand buyers with private valuations for the items. A buyer either participates directly in the auction or is represented by an intermediary, who represents a subset of…

Computer Science and Game Theory · Computer Science 2021-11-23 Gagan Aggarwal , Kshipra Bhawalkar , Guru Guruganesh , Andres Perlroth

In this paper we present a mixed projection- and density-based topology optimization approach. The aim is to combine the benefits of both parametrizations: the explicit geometric representation provides specific controls on certain design…

Computational Engineering, Finance, and Science · Computer Science 2019-10-09 Nicolò Pollini , Oded Amir

Dynamic facility location problems predominantly suppose a monopoly over the service or product provided. Nonetheless, this premise can be a severe oversimplification in the presence of market competitors, as customers may prefer facilities…

Optimization and Control · Mathematics 2026-02-20 Warley Almeida Silva , Margarida Carvalho , Sanjay Dominik Jena

An important factor in the practical implementation of optimization models is the acceptance by the intended users. This is influenced among other factors by the interpretability of the solution process. Decision rules that meet this…

Machine Learning · Computer Science 2024-12-03 Marc Goerigk , Michael Hartisch , Sebastian Merten

Modular structure is ubiquitous among complex networks. We note that most such systems are subject to multiple structural and functional constraints, e.g., minimizing the average path length and the total number of links, while maximizing…

Physics and Society · Physics 2007-11-05 Raj Kumar Pan , Sitabhra Sinha
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