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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

I prove that if markets are weak-form efficient, meaning current prices fully reflect all information available in past prices, then P = NP, meaning every computational problem whose solution can be verified in polynomial time can also be…

General Finance · Quantitative Finance 2010-05-14 Philip Maymin

The prospect of collusive agreements being stabilized via the use of pricing algorithms is widely discussed by antitrust experts and economists. However, the literature is often lacking the perspective of computer scientists, and seems to…

Computers and Society · Computer Science 2021-10-12 Florian E. Dorner

Consider sellers in a competitive market that use algorithms to adapt their prices from data that they collect. In such a context it is plausible that algorithms could arrive at prices that are higher than the competitive prices and this…

Computer Science and Game Theory · Computer Science 2024-10-01 Jason D. Hartline , Sheng Long , Chenhao Zhang

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

Efficient computability is an important property of solution concepts in matching markets. We consider the computational complexity of finding and verifying various solution concepts in trading networks-multi-sided matching markets with…

Computational Complexity · Computer Science 2025-10-03 Tamás Fleiner , Zsuzsanna Jankó , Ildikó Schlotter , Alexander Teytelboym

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

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

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

It has been assumed that arbitrage profits are not possible in efficient markets, because future prices are not predictable. Here we show that predictability alone is not a sufficient measure of market efficiency. We instead propose to…

Statistical Mechanics · Physics 2009-11-10 R. Rothenstein , K. Pawelzik

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

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

The origin of economic crises is a key problem for economics. We present a model of long-run competitive markets to show that the multiplicity of behaviors in an economic system, over a long time scale, emerge as statistical regularities…

Physics and Society · Physics 2010-10-08 Yong Tao

There is growing concern about tacit collusion using algorithmic pricing, and regulators need tools to help detect the possibility of such collusion. This paper studies how to design a hypothesis testing framework in order to decide whether…

Computer Science and Game Theory · Computer Science 2020-03-31 Pedro Hespanhol , Anil Aswani

We examine the dynamics of informational efficiency in a market with asymmetrically informed, boundedly rational traders who adaptively learn optimal strategies using simple multiarmed bandit (MAB) algorithms. The strategies available to…

Theoretical Economics · Economics 2024-11-11 Aleksei Pastushkov

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

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

Algorithmic pricing is increasingly shaping market competition, raising concerns about its potential to compromise competitive dynamics. While prior work has shown that reinforcement learning (RL)-based pricing algorithms can lead to tacit…

Machine Learning · Computer Science 2025-04-09 Sebastián Tinoco , Andrés Abeliuk , Javier Ruiz del Solar

Algorithmic collusion is an emerging concept in current artificial intelligence age. Whether algorithmic collusion is a creditable threat remains as an argument. In this paper, we propose an algorithm which can extort its human rival to…

Econometrics · Economics 2018-02-23 Nan Zhou , Li Zhang , Shijian Li , Zhijian Wang

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
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