But as usual, chess has historically led the way. Back in the 19th century one form of wager was on which piece would, or must, deliver checkmate. To make it a real contest, this was usually a knight (the 'capped knight') as stronger pieces could easily accomplish the task. The challenge was initially to keep such a piece safe, before using it to finish the job.
A classic example of this is the following game between Lange and Schierstedt. Lange's Queens Knight was the required piece, and he managed to win a game which would have been brilliant without the requirement. I can only assume he was far stronger than his opponent though, as after move 2, the strategy of throwing everything at the knight seemed obvious.
Lange,Max - Schierstedt [C25]
Breslau Breslau, 1868