Skip to content
Sprint projectOct 26, 2026Chicago

Beyond Pairs: Detecting Colluding Groups of Agents from Their Moves

Tarun Trivedi, Eashan Gandotra · Team Deep Dish Learning

Submitted to AI Collusion Research Sprint. Sprint projects are early-stage work by participants, not Apart Research publications.

We asked whether an auditor who sees only agents' moves can tell which agents are colluding in a multi-agent game. The existing pairwise detector misses colluding groups of three or more. We introduce GroupScan, an algorithm that scans every group of players for coordinated moves and calibrates against shuffled copies of the game to account for honest, correlated actions. We first validate it in multi-player Rock Paper Scissors, where it recovers hidden groups that pairwise methods miss with low false positive rates. We then extend it to LLM agents: in a double auction, it identifies a cartel of five LLM sellers that the pairwise method fails to detect.

Reviews

Judging this Sprint?

Review “Beyond Pairs: Detecting Colluding Groups of Agents from Their Moves”

Your public critique appears on the project page without your name. Reviews of strong projects are shared with funders, as you choose below.

Not shown on the project page.

Shown on the project page, without your name.

Only the Apart team reads this, and funders if you agree below.

Decline to score

Only when the quality of the writing makes the work impossible to follow. Say why in your private critique; the project page shows only that a judge declined, not why.

How much would this matter for the field if it worked? How innovative is it? For scores of 4-5: is this actually new to the field, or replicating recent work?

Scoring guide
  1. 1Negligible. No clear problem addressed, or no meaningful novelty.
  2. 2Limited. Addresses a real problem but with a generic or well-trodden approach. Incremental at best.
  3. 3Moderate. Clear problem with a reasonable approach; some novelty in framing or method beyond routine application of existing tools.
  4. 4Significant. Important problem with an original approach, or identifies a neglected problem area. A valuable contribution others could build on.
  5. 5Exceptional. Tackles a critical problem with a genuinely novel approach, or opens a new research direction. Clear theory of change. You'd be excited to share this with researchers in the area.

How sound are methodology, implementation, and findings?

Scoring guide
  1. 1Seriously flawed. Methodology broken, results uninterpretable, or implementation doesn't work.
  2. 2Weak. Approach has significant gaps: missing validation, flawed experimental design, or incomplete implementation.
  3. 3Competent. Technically solid given the short duration. Methodology makes sense, results are interpretable, limitations acknowledged, work builds toward clear conclusions.
  4. 4Strong. Thorough methodology with convincing validation. Results clearly support conclusions. Immediately useful for future work.
  5. 5Exceptional. Ambitious scope executed rigorously. Surprising findings, novel methods, or unusually robust validation.

How clearly are work, findings, and impact potential communicated?

Scoring guide
  1. 1Incomprehensible. Cannot determine what the project is actually claiming or doing.
  2. 2Hard to follow. Key information buried, missing, or diluted by excessive length. Significant effort to extract main points.
  3. 3Clear enough. Can understand the problem, approach, and results without undue effort. Core content clearly present: problem, method, findings, limitations.
  4. 4Well presented. Easy to follow, well-structured, appropriate level of detail. Target audience would get it quickly.
  5. 5Exceptionally clear. A pleasure to read. Complex ideas made accessible. Could serve as a model for how to present this type of work.
Sharing your name *

When we share a strong project with funders, your name, scores and public critique go with it, confidentially; this choice is only about whether your name is public. If you think this project deserves funding, please also endorse it: that carries the most weight.

Share my private critique with funders *

See our Privacy Policy.

No public critique yet.

Cite this project

@misc{trivedi2026beyond,
  title = {{Beyond Pairs: Detecting Colluding Groups of Agents from Their Moves}},
  author = {Tarun Trivedi and Eashan Gandotra},
  year = {2026},
  month = oct,
  note = {Submitted to AI Collusion Research Sprint, an Apart Research Sprint},
  howpublished = {\url{https://apartresearch.com/sprints/projects/beyond-pairs-detecting-colluding-groups-of-agents-from-their-moves-4zhs}},
  url = {https://apartresearch.com/sprints/projects/beyond-pairs-detecting-colluding-groups-of-agents-from-their-moves-4zhs}
}