Theseus Cartel: What Successor Pricing Agents Inherit After Complete Replacement

The matched continuations, explicit separation of fixed and exploratory analyses, and correction of the reference-price equations are useful contributions. The report is appropriately candid that collusion instructions often fail and that no fixed comparison survives correction. The immediate priority is reliable formation on development data, followed by a preregistered formed-history comparison on new histories. Current subgroup patterns are suggestive, but do not yet establish that cancellation explains the overall null. Please harmonize confidence intervals with the declared tests: an interval excluding zero alongside adjusted p=0.31 is difficult to interpret, even with an explanation. Vary economically distinct demand conditions and analyze uncertainty at the corresponding independent level; rescaled products do not create twelve independent markets. Finally, report prices and consumer surplus alongside profit, and isolate price-history changes from changes to quantities and profits. The strongest current finding is inherited repetition and overpricing, rather than cartel survival. Frame the contribution relative to Keppo et al., On the Fragility of AI Agent Collusion: size asymmetry need not disrupt pricing, whereas cross-algorithm diversity can. Your full-turnover and record-content tests are new interventions; four LLM checkpoints do not test the same diversity margin as an LLM/Q-learning pairing.

This paper studies an important question: what happens when pricing agents are replaced but their records remain? The matched continuations provide a useful way to separate agent replacement, record changes, and replacement notices. Scoring outcomes after the original records have left the observation window is a particular strength.

The most convincing finding is that inherited behavior can consist of repeatedly choosing excessively high, unprofitable prices. The competitive-record rewrites provide meaningful evidence that record content affects subsequent behavior. The corrected competitive and monopoly benchmarks are also a useful contribution.

The main qualification concerns the explanation of the small average retention effect. The exploratory split suggests that records help successors of high-profit founders and hurt successors of other founders, but the benefits within the high-profit groups remain uncertain. The claim that two established effects cancel is therefore stronger than the evidence supports.

As the paper acknowledges, many founders never reach high joint profit. The evidence is consequently stronger for the persistence of poor pricing habits than for the inheritance of successful collusion.

Overall, this is a carefully designed and transparently reported study. Its contribution would be clearer if the cancellation explanation remained explicitly exploratory throughout.

This project asks what replacement pricing agents inherit from the records left behind, using a large matched design across four open models and twelve products. The execution is careful, and the correction to the organisers’ profit benchmark is a useful contribution in its own right. However, the behaviour to inherit is often missing: only 112 of 288 neutral histories reach high profit and the collusion instruction is unreliable, so the six pre-specified comparisons are null. The exploratory split is more informative. It shows that kept records help the successors of profitable founders and hurt the others, mainly because successors start from the price level in the record and then repeat their own previous price. Since prices are uncapped, most of these prices sit above the monopoly level, even when the records are wiped. In this sense, what passes to successors is anchoring and overpricing rather than coordination. Registering the formation split in advance, and using models that form conventions reliably, would make the main question answerable.