Oddly Wired
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social influence

You are more likely to agree after you have refused.

The door-in-the-face technique uses the psychological pressure of concession to secure a smaller request.

A 1975 study found that when researchers first made an outrageous request that participants rejected, those same participants were significantly more likely to agree to a subsequent, more reasonable request.

You feel a debt of reciprocity when someone 'compromises' for your sake.

Where this comes from

Study
Cialdini et al., 1975, Journal of Personality and Social Psychology
What the check found
The 1975 Cialdini et al. study is a foundational paper in social psychology. The mechanism of 'reciprocal concessions' remains the primary, though not exclusive, theoretical explanation for the effect.
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.