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weber_fechner_law
The principle that the perceived change in a stimulus is proportional to the initial stimulus, not to the absolute change. A $10 discount feels significant on a $30 item but trivial on a $1,000 item, even though the savings are identical. This logarithmic relationship between stimulus and perception affects all sensory domains and extends to cognitive judgments about money, time, and quantity.
A person drives 20 minutes across town to save $15 on a $25 calculator but would not make the same drive to save $15 on a $500 jacket. The absolute savings are identical, but the proportional change makes the first feel worthwhile and the second negligible.
A shopper happily spends 45 minutes comparing grocery stores to save $3 on a $5 bag of coffee, but wouldn't spend 45 minutes negotiating to save $3 on a $2,000 laptop. The savings are identical, but the proportional difference makes one feel worthwhile and the other trivial.
A restaurant diner barely notices when their $80 dinner bill includes a $4 service charge, but feels outraged when a $6 coffee comes with a $1 surcharge. The dollar amounts are similar, but the proportion relative to the base price shapes the emotional reaction entirely.
Binary (yes/no) questions an LLM must answer to identify this aspect:
Are equal absolute differences being perceived differently based on the baseline magnitude?
Type: binaryIs a change dismissed as insignificant because the reference quantity is large?
Type: binaryWould the same absolute change be treated differently in a smaller context?
Type: binaryThe principle that the perceived change in a stimulus is proportional to the initial stimulus, not to the absolute change. A $10 discount feels significant on a $30 item but trivial on a $1,000 item, even though the savings are identical. This logarithmic relationship between stimulus and perception affects all sensory domains and extends to cognitive judgments about money, time, and quantity.
Sensory and cognitive systems evolved to detect proportional changes rather than absolute ones, because proportional changes are more informative about environmental significance. A 50% change signals something important regardless of the baseline.
Focus on the absolute value of gains and losses rather than their proportion to a reference point. Ask 'Would I make this effort for this amount in a different context?' to strip away proportional framing.
This law affects pricing psychology, tax policy perception (percentage vs. absolute changes), tip calculations, and negotiation. Companies exploit it by framing discounts as percentages on cheap items and as absolute amounts on expensive ones.
Use these tools to detect, analyze, or train this aspect.