Peace Offering

From "At Pleasant Valley, chess is a school sport" at The Herald-Mail:

It's a competitive game of strategy, but team adviser Mike DiLeo stresses good sportsmanship, as with most sporting events....

That sentiment is echoed on the T-shirts chess club team members wear. "Play to learn" is on the front, with "Play to win . . . accept a draw . . . show good sportsmanship!" on the back.

Accept a draw? Under what circumstances? What if your opponent offers a draw in a position where you are clearly winning? I'm all for good sportsmanship, but I'm not sure accepting draw offers ought to fall within the definition.