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We propose a model of optimal decision-making subject to a memory constraint in the spirit of models of rational inattention. Our theory differs from that of Sims (2003) in not assuming costless memory of past cognitive states. The model implies that both forecasts and actions will exhibit idiosyncratic random variation; that average beliefs will exhibit a bias that fluctuates forever; and that more recent news will be given disproportionate weight in forecasts. The model provides a simple explanation for the overreaction to news observed in the laboratory by Afrouzi et al. (2023). (JEL D83, D84, D91, G12, G41)
Silveira et al. (2024) studied this question.