Learning to Agree under Pseudo-Reciprocity

Shinya Sugiura

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arXiv · 2608.22234

Learning to Agree under Pseudo-Reciprocity

Shinya Sugiura

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Abstract

We characterize the communication networks that ensure consensus in rational social learning under the sure-thing principle. A network ensures consensus if and only if it is pseudo-reciprocal, a property under which reciprocity may fail between individuals but holds at a coarser group level. Prior work has assumed message exchange to be bidirectional, yet such pairwise reciprocity proves largely dispensable. We show that a single bidirectional link can suffice, however large the population.

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Shinya Sugiura. 2026-08-23. Learning to Agree under Pseudo-Reciprocity. https://arxiv.org/abs/2608.22234

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