Hang on Harvey!

From BoardGameGeek:

The object of the game is to be the first player to get any part of his Harvey to hang below the bottom edge of the playing field. Players simultaneously race each other in lowering their Harvey by removing one peg from the playing field and placing it somewhere below Harvey so that when you remove another peg Harvey will fall onto your other remaining pegs. If your Harvey falls all the way to the bottom, then you have to start again from the top. Beginners play with 4 pegs, while advanced players use 3.