Dougherty added 12 rebounds and netted 19 points in the first half to give the Quakers (6-13, 3-2) a 10-point lead heading into the break.
"My teammates just got me the ball in the right spots," said Dougherty, whose drop-step-and-spin move on the low blocks proved deadly all night. "I didn't have to do much other than just turn and shoot."
Penn took a two-point lead five minutes into the game and never looked back. The Quakers led by as many as 16 in the second half, shooting 54.2 percent (26 of 48) from the floor and outrebounding Columbia, 37-25.
The Lions (14-9, 3-3) used a full-court press to force a few turnovers and get within six points in the final minutes, but Penn's tough rebounding and converted free throws kept Columbia at bay.
Despite closing the weekend with a pair of wins, Allen is still hoping and hunting for a perfect 40 minutes from his team.
It's a lofty goal, of course - one the coach understands the Quakers likely won't achieve. Getting close to 40, however, often yields solid results.
"The paradox is, we want to play the perfect game," Allen said, "knowing that we won't play it. You'll never play a perfect game."