Universities with Competitive Atmospheres?

Do you have the following universities have a competitive atmosphere? Are the students so competitive that they might possibly they might sabotage others just for a high grade/rank?

Baylor University
Harvard University
Stanford University
Rice University
Brown University
Washington University in St. Louis
Northwestern University
U Chicago
Columbia University
Duke University
Princeton University
Yale University
Emory University
Johns Hopkins University

All of them have a competitive atmosphere except for Baylor, I think. I have never heard of students sabotaging others though…

My son reports that Yale has a cooperative environment. (But that opinion may be shaped by the fact that he’s a cooperative kid!) Support is given generously.