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It is not the case that Therefore, treating such deviations as informationally inert violates the Bayesian rationality assumptions that ground game-theoretic reasoning itself.
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Reasons For
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Reason for
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1.
Some deviations reflect measurement error or noise, not meaningful information; distinguishing signal from noise is logically prior to Bayesian updating.
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2.
Game-theoretic models can remain rational while bracketing certain deviations; ignoring noise is standard practice in all empirical sciences.
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3.
Deviations may reflect non-rational factors (fatigue, emotion) that don't undermine rational theory, only its domain of application.
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Reasons Against
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Reason against
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1.
Bayesian rationality requires updating beliefs on all available evidence; deviations contain information about agent preferences or reasoning.
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2.
Game-theoretic predictions depend on accurate models of opponent behavior; ignoring deviations systematically produces false predictions.
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3.
Treating deviations as noise rather than signal commits a category error—it presupposes the theory it should test.
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