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Equation 1 · Ecological Rationality: When Biases Are Adaptations

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DD

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DD

Symbol D

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This is a rule about optimal thresholds, not merely an intuition, and it has a compact formal statement. A decision-maker observes ambiguous evidence D bearing on whether a state H holds — a predator is present, a partner is unfaithful, an approach signals romantic interest — against the alternative that it does not. Where cfac_{fa} is the fitness cost of a false alarm and cmissc_{miss} is the fitness cost of a miss, the threshold that minimizes total expected fitness cost is to infer H whenever:

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