Uncommon Belief in Rationality
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Abstract (arXiv)
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.
Key facts. No citing papers in the map yet (data through 14 Oct 2026). Builds on 1 of its 41 references that are in the map. First posted on arXiv 12 Dec 2024.
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1 of 41 references.
References · 1
- 2013Probabilistic Models for Agents' Beliefs and Decisionscited by 1
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- 2026CHAL: Council of Hierarchical Agentic Language
- 2026Don't Make the LLM Read the Graph: Make the Graph Think
- 2024Towards Rationality in Language and Multimodal Agents: A Survey
- 2025Theorem-of-Thought: A Multi-Agent Framework for Abductive, Deductive, and Inductive Reasoning in Language Models
- 2025Bayesian Social Deduction with Graph-Informed Language Models
- 2024K-Level Reasoning: Establishing Higher Order Beliefs in Large Language Models for Strategic Reasoning
- 2025KisMATH: Do LLMs Have Knowledge of Implicit Structures in Mathematical Reasoning?
- 2025LLM-Hanabi: Evaluating Multi-Agent Gameplays with Theory-of-Mind and Rationale Inference in Imperfect Information Collaboration Game