Power Bounce

Power Bounce is a badge in Paper Mario and Paper Mario: The Thousand-Year Door. In Paper Mario, it is at the Koopa Bros. Fortress' entrance, inside a jail cell accessed by using Bombette. It is also accessible through an opening in the back of the jail. In Paper Mario: The Thousand-Year Door, it is found at the entrance to Hooktail Castle. If Mario equips this badge, he is able to use the Power Bounce jump move at the cost of three FP. By timing the action commands correctly, Mario is able to continuously jump on a single enemy until the action command is failed. The first jump does the normal damage of a jump, and every subsequent jump does one less damage until every attack only deals one damage. After every bounce, the action becomes a little faster and the timing needs to be more precise as a result. This badge is not affected positively by the All or Nothing badge (which gives Mario an attack bonus for every action command he successfully completes in exchange for not dealing any damage if Mario fails the command), though not completing the last action command still results in no damage being dealt.

Merluvlee's prediction in Paper Mario

 * "I see...a Power Bounce Badge. It lies inside a cage in the Koopa Bros. Fortress. You sneak through an opening in the back to reach it."