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When online sellers use AI learning algorithms to automatically compete on e-commerce platforms, there is concern that they will learn to coordinate on higher than competitive prices. However, this concern was primarily raised in…

General Economics · Economics 2025-11-03 Hangcheng Zhao , Ron Berman

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

Pricing decisions are increasingly made by AI. Thanks to their ability to train with live market data while making decisions on the fly, deep reinforcement learning algorithms are especially effective in taking such pricing decisions. In…

Artificial Intelligence · Computer Science 2021-07-06 Michael Schlechtinger , Damaris Kosack , Heiko Paulheim , Thomas Fetzer

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

Machine-learning technologies are seeing increased deployment in real-world market scenarios. In this work, we explore the strategic behaviors of large language models (LLMs) when deployed as autonomous agents in multi-commodity markets,…

Computer Science and Game Theory · Computer Science 2025-05-19 Ryan Y. Lin , Siddhartha Ojha , Kevin Cai , Maxwell F. Chen

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

As multi-agent AI systems become increasingly autonomous, evidence shows they can develop collusive strategies similar to those long observed in human markets and institutions. While human domains have accumulated centuries of…

Multiagent Systems · Computer Science 2026-05-19 Jamiu Idowu , Ahmed Almasoud , Ayman Alfahid

AI shopping agents are being deployed to hundreds of millions of consumers, creating a new intermediary between platforms, sellers, and buyers. We identify a novel market failure: vertical tacit collusion, where platforms controlling…

Computers and Society · Computer Science 2026-01-07 Felipe M. Affonso

With a novel search algorithm or assortment planning or assortment optimization algorithm that takes into account a Bayesian approach to information updating and two-stage assortment optimization techniques, the current research provides a…

Theoretical Economics · Economics 2023-07-19 Dipankar Das

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

This paper examines how data inputs shape competition among artificial intelligences (AIs) in pricing games. The dataset assigns labels to consumers and divides them into different markets, thereby inducing multimarket contact among AIs. We…

General Economics · Economics 2025-12-30 Zhang Xu , Mingsheng Zhang , Wei Zhao

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

The rise of autonomous pricing systems has sparked growing concern over algorithmic collusion in markets from retail to housing. This paper examines controlled information quality as an ex ante policy lever: by reducing the fidelity of data…

General Economics · Economics 2025-09-04 Niuniu Zhang

We consider a simple model of rational agents competing in a single product market described by simple linear demand curve. Contrary to accepted economic theory, the agents' production levels synchronise in the absence of conscious…

Adaptation and Self-Organizing Systems · Physics 2008-12-02 Russell K. Standish , Steve Keen

Recent work shows that pricing with symmetric LLM agents leads to algorithmic collusion. We show that collusion is fragile under the heterogeneity typical of real deployments. In a stylized repeated-pricing model, heterogeneity in patience…

Computer Science and Game Theory · Computer Science 2026-03-24 Jussi Keppo , Yuze Li , Gerry Tsoukalas , Nuo Yuan

Two issues of algorithmic collusion are addressed in this paper. First, we show that in a general class of symmetric games, including Prisoner's Dilemma, Bertrand competition, and any (nonlinear) mixture of first and second price auction,…

Theoretical Economics · Economics 2024-09-05 Zhang Xu , Wei Zhao

With dynamic pricing on the rise, firms are using sophisticated algorithms for price determination. These algorithms are often non-interpretable and there has been a recent interest in their seemingly emergent ability to tacitly collude…

Computer Science and Game Theory · Computer Science 2024-10-25 Pravesh Koirala , Forrest Laine

This paper develops a formal framework to assess policies of learning algorithms in economic games. We investigate whether reinforcement-learning agents with collusive pricing policies can successfully extrapolate collusive behavior from…

General Economics · Economics 2022-01-06 Nicolas Eschenbaum , Filip Mellgren , Philipp Zahn

This paper examines how the observability of demand shocks influences pricing patterns and market outcomes when firms delegate pricing decisions to Q-learning algorithms. Simulations show that demand observability induces Q-learning agents…

General Economics · Economics 2025-12-09 Zexin Ye

This paper introduces the Minimum Price Markov Game (MPMG), a theoretical model that reasonably approximates real-world first-price markets following the minimum price rule, such as public auctions. The goal is to provide researchers and…

Computer Science and Game Theory · Computer Science 2025-03-20 Igor Sadoune , Marcelin Joanis , Andrea Lodi