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Collusion by mistake: Does algorithmic sophistication drive supra-competitive profits?

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  • Abada, Ibrahim
  • Lambin, Xavier
  • Tchakarov, Nikolay

Abstract

A burgeoning literature shows that self-learning algorithms may, under some conditions, reach seemingly-collusive outcomes: after repeated interaction, competing algorithms earn supra-competitive profits, at the expense of efficiency and consumer welfare. This paper offers evidence that such behavior can stem from insufficient exploration during the learning process and that algorithmic sophistication might increase competition. In particular, we show that allowing for more thorough exploration does lead otherwise seemingly-collusive Q-learning algorithms to play more competitively. We first provide a theoretical illustration of this phenomenon by analyzing the competition between two stylized Q-learning algorithms in a Prisoner’s Dilemma framework. Second, via simulations, we show that some more sophisticated algorithms exploit the seemingly-collusive ones. Following these results, we argue that the advancement of algorithms in sophistication and computational capabilities may, in some situations, provide a solution to the challenge of algorithmic seeming collusion, rather than exacerbate it.

Suggested Citation

  • Abada, Ibrahim & Lambin, Xavier & Tchakarov, Nikolay, 2024. "Collusion by mistake: Does algorithmic sophistication drive supra-competitive profits?," European Journal of Operational Research, Elsevier, vol. 318(3), pages 927-953.
  • Handle: RePEc:eee:ejores:v:318:y:2024:i:3:p:927-953
    DOI: 10.1016/j.ejor.2024.06.006
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    Cited by:

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    3. Luigi Foscari & Emanuele Guidotti & Nicol`o Cesa-Bianchi & Tatjana Chavdarova & Alfio Ferrara, 2025. "The Invisible Handshake: Persistent Overpricing by Adaptive Market Agents," Papers 2510.15995, arXiv.org, revised May 2026.
    4. Bougette, Patrice & Budzinski, Oliver & Marty, Frédéric, 2025. "Ex-ante versus Ex-post in competition law enforcement: Blurred boundaries and economic rationale," International Review of Law and Economics, Elsevier, vol. 82(C).
    5. Kevin Michael Frick, 2026. "Convergence to collusion in algorithmic pricing," Papers 2604.15825, arXiv.org.
    6. Frédéric Marty & Thierry Warin, 2025. "Algorithmic Pricing and Competition: Balancing Efficiency and Consumer Welfare," Working Papers halshs-05199988, HAL.
    7. Eshwar Ram Arunachaleswaran & Natalie Collina & Sampath Kannan & Aaron Roth & Juba Ziani, 2024. "Algorithmic Collusion Without Threats," Papers 2409.03956, arXiv.org, revised Dec 2024.

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