People may be more willing to grant a large favor if they have already granted a smaller one; this is called the door-in-the face phenomenon.

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This description actually refers to the "foot-in-the-door" phenomenon, where people are more likely to agree to a large request after they've agreed to a small one. The "door-in-the-face" phenomenon involves making a large request that is expected to be refused, followed by a smaller request.

People May Be More Willing to Grant a Large Favor