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There has been substantial recent concern that pricing algorithms might learn to ``collude.'' Supra-competitive prices can emerge as a Nash equilibrium of repeated pricing games, in which sellers play strategies which threaten to punish…

Computer Science and Game Theory · Computer Science 2024-12-17 Eshwar Ram Arunachaleswaran , Natalie Collina , Sampath Kannan , Aaron Roth , Juba Ziani

Pricing algorithms have demonstrated the capability to learn tacit collusion that is largely unaddressed by current regulations. Their increasing use in markets, including oligopolistic industries with a history of collusion, calls for…

Computer Science and Game Theory · Computer Science 2025-02-26 Paul Friedrich , Barna Pásztor , Giorgia Ramponi

There is growing experimental evidence that $Q$-learning agents may learn to charge supracompetitive prices. We provide the first theoretical explanation for this behavior in infinite repeated games. Firms update their pricing policies…

General Economics · Economics 2025-05-30 Cristian Chica , Yinglong Guo , Gilad Lerman

This paper examines whether widely used online learning algorithms in pricing can independently reach competitive outcomes or instead foster tacit collusion. This issue has drawn considerable attention from competition regulators as…

Computer Science and Game Theory · Computer Science 2025-11-25 Martin Bichler , Julius Durmann , Matthias Oberlechner

We empirically study the interplay between exploration and competition. Systems that learn from interactions with users often engage in exploration: making potentially suboptimal decisions in order to acquire new information for future…

Computer Science and Game Theory · Computer Science 2019-05-03 Guy Aridor , Kevin Liu , Aleksandrs Slivkins , Zhiwei Steven Wu

We introduce pricing formulas for competition and collusion models of two-sided markets with an outside option. For the competition model, we find conditions under which prices and consumer surplus may increase or decrease if the outside…

General Economics · Economics 2025-05-12 Cristian Chica , Yinglong Guo , Gilad Lerman

We conduct experiments with algorithmic pricing agents based on Large Language Models (LLMs). In oligopoly settings, LLM-based pricing agents quickly and autonomously reach supracompetitive prices and profits. Variation in seemingly…

General Economics · Economics 2026-03-09 Sara Fish , Yannai A. Gonczarowski , Ran I. Shorrer

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

We study how delegating pricing to large language models (LLMs) can facilitate collusion in a duopoly when both sellers rely on the same pre-trained model. The LLM is characterized by (i) a propensity parameter capturing its internal bias…

Theoretical Economics · Economics 2026-03-24 Shengyu Cao , Ming Hu

We develop a model of algorithmic pricing that shuts down every channel for explicit or implicit collusion while still generating collusive outcomes. We analyze the dynamics of a duopoly market where both firms use pricing algorithms…

Theoretical Economics · Economics 2024-03-13 Inkoo Cho , Noah Williams

We study interactions with uncertainty about demand sensitivity. In our solution concept (1) firms choose seemingly-optimal strategies given the level of sophistication of their data analytics, and (2) the levels of sophistication form best…

Theoretical Economics · Economics 2021-04-06 Ron Berman , Yuval Heller

Nowadays, a significant share of the Business-to-Consumer sector is based on online platforms like Amazon and Alibaba and uses Artificial Intelligence for pricing strategies. This has sparked debate on whether pricing algorithms may tacitly…

General Economics · Economics 2024-06-05 Shidi Deng , Maximilian Schiffer , Martin Bichler

In uniform-price markets, suppliers compete to supply a resource to consumers, resulting in a single market price determined by their competition. For sufficient flexibility, producers and consumers prefer to commit to a function as their…

Computer Science and Game Theory · Computer Science 2024-03-15 Abdullah Alawad , Muhammad Aneeq uz Zaman , Khaled Alshehri , Tamer Başar

We study the allocation of divisible goods to competing agents via a market mechanism, focusing on agents with Leontief utilities. The majority of the economics and mechanism design literature has focused on \emph{linear} prices, meaning…

Computer Science and Game Theory · Computer Science 2019-12-24 Ashish Goel , Reyna Hulett , Benjamin Plaut

In the rapidly evolving landscape of eCommerce, Artificial Intelligence (AI) based pricing algorithms, particularly those utilizing Reinforcement Learning (RL), are becoming increasingly prevalent. This rise has led to an inextricable…

Machine Learning · Computer Science 2024-06-06 Michael Schlechtinger , Damaris Kosack , Franz Krause , Heiko Paulheim

Firms' algorithm development practices are often homogeneous. Whether firms train algorithms on similar data, aim at similar benchmarks, or rely on similar pre-trained models, the result is correlated predictions. We model the impact of…

Computer Science and Game Theory · Computer Science 2025-03-21 Nathanael Jo , Kathleen Creel , Ashia Wilson , Manish Raghavan

We study a simple model of algorithmic collusion in which Q-learning algorithms are designed in a strategic fashion. We let players (\textit{designers}) choose their exploration policy simultaneously prior to letting their algorithms…

Theoretical Economics · Economics 2024-09-13 Ivan Conjeaud

In the context of nonlinear prices, the empirical evidence suggests that the consumers have cognitive biases represented in a limited understanding of nonlinear price structures, and they respond to some alternative perceptions of the…

General Economics · Economics 2021-04-22 Diego Alejandro Murillo Taborda

The rise of algorithmic pricing in online retail platforms has attracted significant interest in how autonomous software agents interact under competition. This article explores the potential emergence of algorithmic collusion -…

Computer Science and Game Theory · Computer Science 2025-04-24 Martin Bichler , Julius Durmann , Matthias Oberlechner

Platform giants in China have operated with persistently compressed margins in highly concentrated markets for much of the past decade, despite market shares exceeding 60\% in core segments. Standard theory predicts otherwise: either the…

Theoretical Economics · Economics 2026-01-23 Liang Chen
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