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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…

计算机科学与博弈论 · 计算机科学 2024-12-17 Eshwar Ram Arunachaleswaran , Natalie Collina , Sampath Kannan , Aaron Roth , Juba Ziani

In an infinitely repeated general-sum pricing game, independent reinforcement learners may exhibit collusive behavior without any communication, raising concerns about algorithmic collusion. To better understand the learning dynamics, we…

综合经济学 · 经济学 2025-10-07 Bingyan Han

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…

计算机科学与博弈论 · 计算机科学 2025-02-26 Paul Friedrich , Barna Pásztor , Giorgia Ramponi

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,…

理论经济学 · 经济学 2024-09-05 Zhang Xu , Wei Zhao

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…

综合经济学 · 经济学 2022-01-06 Nicolas Eschenbaum , Filip Mellgren , Philipp Zahn

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 -…

计算机科学与博弈论 · 计算机科学 2025-04-24 Martin Bichler , Julius Durmann , Matthias Oberlechner

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…

综合经济学 · 经济学 2026-03-10 Connor Douglas , Foster Provost , Arun Sundararajan

We investigate the dynamics of Q-learning in a class of generalized Braess paradox games. These games represent an important class of network routing games where the associated stage-game Nash equilibria do not constitute social optima. We…

理论经济学 · 经济学 2025-02-27 Cesare Carissimo , Jan Nagler , Heinrich Nax

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…

计算机科学与博弈论 · 计算机科学 2025-11-25 Martin Bichler , Julius Durmann , Matthias Oberlechner

It is known that there are uncoupled learning heuristics leading to Nash equilibrium in all finite games. Why should players use such learning heuristics and where could they come from? We show that there is no uncoupled learning heuristic…

计算机科学与博弈论 · 计算机科学 2015-04-27 Burkhard C. Schipper

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…

理论经济学 · 经济学 2026-05-19 Soumen Banerjee

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…

理论经济学 · 经济学 2026-03-24 Shengyu Cao , Ming Hu

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…

人工智能 · 计算机科学 2021-07-06 Michael Schlechtinger , Damaris Kosack , Heiko Paulheim , Thomas Fetzer

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…

综合经济学 · 经济学 2025-12-09 Zexin Ye

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…

理论经济学 · 经济学 2024-09-13 Ivan Conjeaud

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…

综合经济学 · 经济学 2026-04-20 Kevin Michael Frick

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…

理论经济学 · 经济学 2021-04-06 Ron Berman , Yuval Heller

Q-learning can be described as an all-purpose automaton that provides estimates (Q-values) of the continuation values associated with each available action and follows the naive policy of almost always choosing the action with highest…

理论经济学 · 经济学 2025-05-29 Olivier Compte

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…

综合经济学 · 经济学 2024-07-08 Cristian Chica , Yinglong Guo , Gilad Lerman

Multi-agent learning algorithms have been shown to display complex, unstable behaviours in a wide array of games. In fact, previous works indicate that convergent behaviours are less likely to occur as the total number of agents increases.…

计算机科学与博弈论 · 计算机科学 2024-03-26 Aamal Hussain , Dan Leonte , Francesco Belardinelli , Georgios Piliouras
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