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arXiv · 2412.09407

Uncommon Belief in Rationality

Qi Shi·Pavel Naumov
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Abstract

Common knowledge/belief in rationality is the traditional standard assumption in analysing interaction among agents. This paper proposes a graph-based language for capturing significantly more complicated structures of higher-order beliefs that agents might have about the rationality of the other agents. The two main contributions are a solution concept that captures the reasoning process based on a given belief structure and an efficient algorithm for compressing any belief structure into a unique minimal form.

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Qi Shi, Pavel Naumov. 2024-12-12. Uncommon Belief in Rationality. https://arxiv.org/abs/2412.09407

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