Uncommon Belief in Rationality

Qi Shi, Pavel Naumov
12/12/2024
cs.AIcs.MA

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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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Cite this paper

@article{shi2024uncommon,
  title  = {Uncommon Belief in Rationality},
  author = {Qi Shi and Pavel Naumov},
  year   = {2024},
  eprint = {2412.09407},
  archivePrefix = {arXiv},
  url    = {http://arxiv.org/abs/2412.09407v1}
}

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