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Artificial intelligence algorithms are increasingly used by firms to set prices. Previous research shows that they can exhibit collusive behaviour, but how quickly they can do so has so far remained an open question. I show that a modern…

General Economics · Economics 2026-04-20 Kevin Michael Frick

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

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

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 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

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

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

Collusion in market pricing is a concept associated with human actions to raise market prices through artificially limited supply. Recently, the idea of algorithmic collusion was put forward, where the human action in the pricing process is…

Theoretical Economics · Economics 2025-01-29 Suzie Grondin , Arthur Charpentier , Philipp Ratz

Autonomous pricing algorithms are increasingly influencing competition in digital markets; however, their behavior under realistic demand conditions remains largely unexamined. This paper offers a thorough analysis of four pricing…

Machine Learning · Computer Science 2025-12-03 Aheer Sravon , Md. Ibrahim , Devdyuti Mazumder , Ridwan Al Aziz

We develop a tractable model for studying strategic interactions between learning algorithms. We uncover a mechanism responsible for the emergence of algorithmic collusion. We observe that algorithms periodically coordinate on actions that…

Theoretical Economics · Economics 2023-09-20 Martino Banchio , Giacomo Mantegazza

Algorithmic pricing raises a question of interpretation as well as intervention: when autonomous deep-learning pricing systems sustain supracompetitive prices, what strategic pattern have they learned, and how might market institutions…

Theoretical Economics · Economics 2026-05-19 Soumen Banerjee

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

Algorithmic price collusion facilitated by artificial intelligence (AI) algorithms raises significant concerns. We examine how AI agents using Q-learning engage in tacit collusion in two-sided markets. Our experiments reveal that AI-driven…

General Economics · Economics 2024-07-08 Cristian Chica , Yinglong Guo , Gilad Lerman

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

Algorithmic agents are used in a variety of competitive decision-making settings, including pricing contexts that range from online retail to residential home rental. We study the emergence of algorithmic collusion when competing agents…

General Economics · Economics 2026-03-10 Connor Douglas , Foster Provost , Arun Sundararajan

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 propose a fresh `meta-game' perspective on the problem of algorithmic collusion in pricing games a la Bertrand. Economists have interpreted the fact that algorithms can learn to price collusively as tacit collusion. We argue instead that…

Theoretical Economics · Economics 2025-12-16 Cesare Carissimo , Fryderyk Falniowski , Siavash Rahimi , Heinrich Nax

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

As algorithms increasingly mediate competitive decision-making, their influence extends beyond individual outcomes to shaping strategic market dynamics. In two preregistered experiments, we examined how algorithmic advice affects human…

Human-Computer Interaction · Computer Science 2025-11-13 Tobias R. Rebholz , Maxwell Uphoff , Christian H. R. Bernges , Florian Scholten

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
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