Thought this was interesting.
http://www.newyorker.com/reporting/2009/05...currentPage=all
Checkers and chess are good examples. Chess players play to win. The best checker players never play to win - they always play for a draw, and wait for their opponent to make a mistake. OTOH, if you're Minnesota Fats, none of this applies - you bait the opponent on his vanity, and when he crawls far enough out on the limb, you saw it off.