Oddly Wired
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persuasion

Your chances of success rise after a blatant refusal.

The door-in-the-face technique demonstrates that you are more likely to agree to a small request after rejecting a larger, unreasonable one.

When you say no to the big request, the solicitor offers a smaller one, which you perceive as a concession. You feel a social obligation to reciprocate that kindness by saying yes to the second, smaller ask.

Your compliance is often a reaction to a perceived social bargain.

Where this comes from

Study
Cialdini et al., 1975, Door-in-the-Face Technique
What the check found
The core definition and origin are accurately attributed to the 1975 Cialdini study. While the 'social obligation' mechanism is the consensus explanation, the effect is variable in practice.
Confidence
Well replicated

Related

One of these every day, and every one names the study it came from. When a finding is contested, it says so.