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From Signals to Structure: How Memory Architecture Drives Language Emergence in LLM Agents

A study on Lewis signaling games with LLM agents shows that memory architecture, specifically a persistent private notebook, significantly improves coordination over stateless agents, and channel capacity alone cannot predict success.

SourcearXiv AIAuthor: Yashar Talebirad, Eden Redman, Ali Parsaee, Osmar R. Zaiane

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[Submitted on 30 Jun 2026]

Title:From Signals to Structure: How Memory Architecture Drives Language Emergence in LLM Agents

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Abstract:How do two agents invent a shared language from scratch? In a Lewis signaling game, a sender and receiver must coordinate on a code using only their interaction history. We study five memory architectures across varying channel configurations with LLM agents and find that memory architecture matters more than channel capacity. Agents with a persistent private notebook benefit from surplus channel capacity and avoid the high-capacity collapse seen in stateless agents, achieving the most reliable coordination ($0.867 \pm 0.023$ at capacity = 25). Stateless agents peak at moderate capacity and then degrade as the vocabulary grows beyond what a rolling context window can track The notebook externalizes learned conventions, freeing agents from having to re-derive codes each round. An information bottleneck-inspired argument predicts an optimal capacity equal to the number of objects. Instead, the bottleneck (capacity = 8) proves to be a fragility point, and surplus capacity is generally better. We show that channel capacity alone cannot predict coordination; memory architecture determines whether agents turn interaction history into stable conventions, and both dimensions are needed to understand how signals become language.

Subjects:

Artificial Intelligence (cs.AI); Computation and Language (cs.CL); Information Theory (cs.IT); Multiagent Systems (cs.MA)

Cite as: arXiv:2607.00233 [cs.AI]

(or arXiv:2607.00233v1 [cs.AI] for this version)

https://doi.org/10.48550/arXiv.2607.00233

arXiv-issued DOI via DataCite (pending registration)

Submission history

From: Yashar Talebirad [view email] [v1] Tue, 30 Jun 2026 22:20:41 UTC (1,133 KB)

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