Collusion with Competitive Marginals: Price-Level Audits Are Blind by Construction
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Abstract (arXiv)
Empirical work on algorithmic collusion asks one question of the data: are prices supracompetitive? We show this can be answered "no" by a conspiracy that is nonetheless profitable. Consider bidding agents that couple only through the joint distribution of their unexplained bid components, leaving every agent's own bid law exactly at the competitive law. Any test whose input is a single agent's price or bid history then has power exactly equal to its false-positive rate, for every coupling strength up to comonotonicity. The published detection methodology is therefore blind to this conduct by construction rather than underpowered, and no sample size repairs it. Three empirical results follow. First, the mechanism appears in real language-model agents: twenty models from nineteen independent developers, three deployment prompts each, show residual correlation of +0.053 between two deployments of one model against +0.0001 across models, with a 95% interval clustered by developer of [0.030, 0.078], under an auditor that sees every order feature and is fitted out of sample. Second, the coupling falls monotonically as sampling temperature rises (p=0.002), turning a deployment parameter into a candidate mitigation. Third, on 24 days of Ethereum block-building auction data covering 77,684 bids from 39 bidders, the honest population of bidder pairs is itself so dependent that a screen held at a 5% false-positive rate must sit above a floor of +0.50 to +0.81, which is 20 to 32 times the family-wise sampling threshold and does not fall as the audit window grows. Since lawful multi-identity operation and conspiracy are behaviourally indistinguishable here, the tractable regulatory target is not detection but counting: resolving 40 bidding identities into 23 operators raises the Herfindahl index by 247.5%, and adding behavioural clusters from public bid streams reaches 324.5%.
Key facts. No citing papers in the map yet (data through 7 Oct 2026). Builds on 7 of its 16 references that are in the map. First posted on arXiv 29 Jul 2026.
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References · 7
- 2024Strategic Collusion of LLM Agents: Market Division in Multi-Commodity Competitionscited by 25
- 2025Regulation of Algorithmic Collusion, Refined: Testing Pessimistic Calibrated Regretcited by 7
- 2026On the Fragility of AI Agent Collusioncited by 6
- 2015Extremal Dependence Conceptscited by 3
- 2023Time to Bribe: Measuring Block Construction Marketcited by 3
- 2026The Oracle's Fingerprint: Correlated AI Forecasting Errors and the Limits of Bias Transmissioncited by 3
- 2026Order Flow Exclusivity and Value Extraction Mechanisms: An Analysis of Ethereum Builder Centralizationcited by 1
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- 2026Faithful yet Collusive: Why Chain-of-Thought Monitoring Cannot Detect Collusion in LLM Pricing Agents under Oligopolistic Competition
- 2025Evaluating LLM Agent Collusion in Double Auctions
- 2026Position: Collusion Risks Among AI Reasoning Agents Justify Certification Requirements for Making Market Decisions
- 2026Voluntary Collusion with Secret Tools in Competing LLM Agents
- 2025Audit the Whisper: Detecting Steganographic Collusion in Multi-Agent LLMs
- 2026One Human, N Agents: Audit-Budget Allocation for LLM Agent Fleets under Miscalibrated, Correlated Confidence
- 2026Prompt Optimization Enables Stable Algorithmic Collusion in LLM Agents
- 2026Persistent Partners Raise Prices Among Learning Agents