Actually, it’s totally opposite from the story spun by @tseliot wrote unless, like many people, s/he used the incorrect terminology when stating “athletic scholarship offers” . An Ivy League school may adjust need-based aid based upon a competing need-based offer/estimate/call-it-what-you-will from a non-Ivy peer school. How each of the 8 defines “non-Ivy peer school” may vary. So one may consider Duke, and another may not. The one thing that all 8 have in common, per Ivy League rules,is that they will not match/adjust/call-it-what-you-will based upon a non-need-based-scholarship to Duke/Stanford/etc.