From the Super Mario Wiki
The Lucky Lamp is an item found only in Mario Party 3. It is essentially a counterpart to the Magic Lamp. Instead of taking the player to the Star Space, it moves the Star to a different space on the board. Instead of the Mushroom Genie, the Mushroom Jeanie lives in the lamp. The Lucky Lamp can be bought from Baby Bowser for a little less than a Magic Lamp.