Can I use Rotom's "Mischievous Trick" Poke-POWER when I have no cards in my deck, to put a Prize card into my deck?
No, you can't. That would be far too mischievous.
Source: Undaunted FAQ (2010-09-09), PUI Rules Team (2010-09-09)

Relevant cards

Note: All applicable cards may not be listed below.
HGSS3_20