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Do agents believe they agree more with others over time? This paper explores how
individuals perceive the belief updating behavior of others and the resulting disagreement
in a sequential experiment with public information. We uncover a persistent gap in the
perception of disagreement as a function of cognitive ability. Higher cognitive ability correlates
with less perceived disagreement, although the average subject underestimates the
extent of actual disagreement. Information about a partner’s cognitive ability only impacts
perceived disagreement when the partner has a low test score. Our findings highlight the
roles of overconfidence and cognitive projection in shaping these perceptions.