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We develop a framework for the optimal pricing and product design of LLMs in which a provider sells menus of token budgets to users who differ in their valuations across a continuum of tasks. Under a homogeneous production technology, we…

Theoretical Economics · Economics 2026-03-10 Dirk Bergemann , Alessandro Bonatti , Alex Smolin

We study mixed bundling and competitive price-matching guarantees (PMGs) in a duopoly selling complementary products to heterogeneous customers. One retailer offers mixed bundling while the rival sells only a bundle. We characterize unique…

Theoretical Economics · Economics 2026-01-23 Esmat Sangari , Rajni Kant Bansal

We study liquidity provision in the presence of exogenous competition. We consider a `reference market maker' who monitors her inventory and the aggregated inventory of the competing market makers. We assume that the competing market makers…

Mathematical Finance · Quantitative Finance 2024-07-25 Robert Boyce , Martin Herdegen , Leandro Sánchez-Betancourt

We consider a dynamic pricing problem where customer response to the current price is impacted by the customer price expectation, aka reference price. We study a simple and novel reference price mechanism where reference price is the…

Machine Learning · Computer Science 2024-07-23 Shipra Agrawal , Wei Tang

Data analytics using machine learning (ML) has become ubiquitous in science, business intelligence, journalism and many other domains. While a lot of work focuses on reducing the training cost, inference runtime and storage cost of ML…

Databases · Computer Science 2018-05-30 Lingjiao Chen , Paraschos Koutris , Arun Kumar

Studying competition and market structure at the product level instead of brand level can provide firms with insights on cannibalization and product line optimization. However, it is computationally challenging to analyze product-level…

Machine Learning · Computer Science 2020-05-22 Fanglin Chen , Xiao Liu , Davide Proserpio , Isamar Troncoso , Feiyu Xiong

Trial-offer markets, where customers can sample a product before deciding whether to buy it, are ubiquitous in the online experience. Their static and dynamic properties are often studied by assuming that consumers follow a multinomial…

Computer Science and Game Theory · Computer Science 2016-10-07 Pascal Van Hentenryck , Alvaro Flores , Gerardo Berbeglia

We consider a single buyer with a combinatorial preference that would like to purchase related products and services from different vendors, where each vendor supplies exactly one product. We study the general case where subsets of products…

Computer Science and Game Theory · Computer Science 2014-01-09 Moshe Babaioff , Noam Nisan , Renato Paes Leme

Low search costs in Internet markets can be used by consumers to find low prices, but can also be used by retailers to monitor competitors' prices. This price monitoring can lead to price matching, resulting in dampened price competition…

Computers and Society · Computer Science 2007-05-23 Karen Clay , Michael Smith , Eric Wolff

We study the price-setting problem of market makers under risk neutrality and perfect competition in continuous time. Thereby we follow the classic Glosten-Milgrom model that defines bid and ask prices as expectations of a true value of the…

Trading and Market Microstructure · Quantitative Finance 2012-10-16 Christoph Kühn , Matthias Riedel

We propose a decentralized market model in which agents can negotiate bilateral contracts. This builds on a similar, but centralized, model of trading networks introduced by Hatfield et al. in 2013. Prior work has established that…

Computer Science and Game Theory · Computer Science 2025-01-29 Edwin Lock , Benjamin Patrick Evans , Eleonora Kreacic , Sujay Bhatt , Alec Koppel , Sumitra Ganesh , Paul W. Goldberg

This paper proposes a novel method for demand forecasting in a pricing context. Here, modeling the causal relationship between price as an input variable to demand is crucial because retailers aim to set prices in a (profit) optimal manner…

An existing challenge in power systems is the implementation of optimal demand management through dynamic pricing. This paper encompasses the design, analysis and implementation of a novel on-line pricing scheme based on coalitional game…

Optimization and Control · Mathematics 2024-07-16 Fernando Genis Mendoza , Pablo R Baldivieso Monasterios , Dario Bauso , George Konstantopoulos

The society's insatiable appetites for personal data are driving the emergency of data markets, allowing data consumers to launch customized queries over the datasets collected by a data broker from data owners. In this paper, we study how…

Computational Engineering, Finance, and Science · Computer Science 2019-12-02 Chaoyue Niu , Zhenzhe Zheng , Fan Wu , Shaojie Tang , Guihai Chen

We consider the problem of dynamic pricing with limited supply. A seller has $k$ identical items for sale and is facing $n$ potential buyers ("agents") that are arriving sequentially. Each agent is interested in buying one item. Each…

Computer Science and Game Theory · Computer Science 2013-11-27 Moshe Babaioff , Shaddin Dughmi , Robert Kleinberg , Aleksandrs Slivkins

A platform commits to a search algorithm that maps prices to search order. Given this algorithm, sellers set prices, and consumers engage in sequential search. This framework generalizes the ordered search literature. We introduce a special…

Theoretical Economics · Economics 2025-03-06 Xiaoyu Chen , Jingmin Huang , Yibo Lian

This paper studies Markov perfect equilibria in a repeated duopoly model where sellers choose algorithms. An algorithm is a mapping from the competitor's price to own price. Once set, algorithms respond quickly. Customers arrive randomly…

Theoretical Economics · Economics 2022-07-04 Rohit Lamba , Sergey Zhuk

We study the problem of online learning in competitive settings in the context of two-sided matching markets. In particular, one side of the market, the agents, must learn about their preferences over the other side, the firms, through…

Artificial Intelligence · Computer Science 2022-06-07 Chinmay Maheshwari , Eric Mazumdar , Shankar Sastry

A retailer is purchasing goods in bundles from suppliers and then selling these goods in bundles to customers; her goal is to maximize profit, which is the revenue obtained from selling goods minus the cost of purchasing those goods. In…

Data Structures and Algorithms · Computer Science 2025-08-01 Yossi Azar , Niv Buchbinder , Roie Levin , Or Vardi

In online advertising, auto-bidding has become an essential tool for advertisers to optimize their preferred ad performance metrics by simply expressing high-level campaign objectives and constraints. Previous works designed auto-bidding…

Multiagent Systems · Computer Science 2022-01-06 Chao Wen , Miao Xu , Zhilin Zhang , Zhenzhe Zheng , Yuhui Wang , Xiangyu Liu , Yu Rong , Dong Xie , Xiaoyang Tan , Chuan Yu , Jian Xu , Fan Wu , Guihai Chen , Xiaoqiang Zhu , Bo Zheng