one-shot-no-communication-self-play-where-independent-copies-same-llm-told CLM-0622In one-shot, no-communication self-play where independent copies of the same LLM are told their counterparts run the same model, models exceed the Nash baseline mainly in games whose optimal joint play requires matching actions (coordination, stag hunt, public goods) and fall below it in games requiring symmetry-breaking (anti-coordination, battle of the sexes), with several open-weight models scoring near the worst joint cell.
Capability: Getting more from several models than from one
Observed on
One-shot matrix games, two players, no communication or shared memory, action labels rotated; 13 models from 1B-14B open-weight plus two hosted frontier models..
Sources
- Measured across ~53,000 game instances, 7 scored two-player archetypes at k=2-10, 12-30 trials each, scored against computed pure and mixed Nash equilibria with label rotation controlling position bias. Hosted models differ from open-weight in backend and trial count, so capability and provider effects are not separated; the matching-vs-differentiating explanation is argued from the score pattern, not tested by an intervention.
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Related claims
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Notes
Drafted from the paper by a model and filed unreviewed. Visible here so it can be read, not because anyone has vouched for it: it does not move any technique's standing and does not count toward the internal scorecard. Drafted confidence: medium. Falsifier as drafted: A model that scores above Nash on anti-coordination and battle-of-the-sexes at rates comparable to its coordination/stag-hunt scores under the same no-communication one-shot protocol.