Dave's Stupid Rule
Dave's Stupid Rule is a regulation that is in effect at most tournaments. It is quite simple, stating that no stage that has already been played in a round may be picked for another game in the same round. For example, a random pick chooses Final Destination for the first game of a Falco vs. Ike match. The Falco player loses, so s/he gets to pick the next stage. S/he wants Final Destination again, because it's a good Falco stage. However, Dave's Stupid Rule states that Final Destination cannot be played again in that round, so the Falco player must pick a new stage. The rule is named after the smasher Scamp.
There are some different variations of Dave's Stupid Rule, but they all retain the same spirit. The most common variation is that a player cannot pick a stage they have WON on during the round in question. Therefore, under this variation, the Falco player would be free to pick Final Destination for the second game. However, imagine that Final Destination was the randomly selected neutral stage. The Falco player wins, so the Ike player counter-picks Battlefield. Ike wins game two. Now, the Falco player gets to pick the next stage, but because s/he won on Final Destination, s/he can't pick it again.
Another variation says that if the player counter picking chooses random for the stage, a stage may be played twice. In some tournaments, where only three or four stages are allowed, this is often a viable strategy to get the same stage twice in one match.