From the Super Mario Wiki
Jumpman is a badge in Paper Mario: The Thousand-Year Door. It can be bought from Charlieton for 180 coins, and can rarely be dropped after winning a battle against Poison Puffs and Wizzerds. If Mario equips the badge, all attacks relating to his ability to jump become stronger by one, including all moves obtained via equipping other badges, but in exchange, he is completely unable to use any hammer attacks. This does not apply to Mario's ability to use his hammer outside of battle, and he can still his hammer for a First Strike without the move's damage being affected. If Jumpman and Hammerman, a badge that boosts Mario's hammer while blocking his ability to jump, are equipped at the same time, neither ability is able to be used in battle. If Mario has equipped more than one Jumpman, one more damage will be added on for each Jumpman equipped.
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