Uncommon Belief in Rationality

December 12, 2024 Β· Declared Dead Β· πŸ› arXiv.org

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Authors Qi Shi, Pavel Naumov arXiv ID 2412.09407 Category cs.AI: Artificial Intelligence Cross-listed cs.MA Citations 0 Venue arXiv.org Last Checked 5 months ago
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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