I suggest changing the name of the game, first of all. It’s not very clever and is apt to drive some consumers away from your product.
Unless you are the photographer/artist who has created the likenesses of the famous people, you do not own the copyrights in the images and, therefore, cannot use them for your video game without permission from the copyright holders. Permission generally is granted in the form of a license, which may or may not cost money, and which may or may not have restrictions on how the image is used.
As for calling famous people derogatory names or making derogatory comments about them, you could do that. You must avoid making
defamatory comments about anyone, though, because defamatory comments can get you sued. You need to learn well the line between derogatory and defamatory.
In addition, if you want to invest in creating a video game hoping to attract attention to it by using famous people’s names, there is yet another risk. People have both privacy rights and publicity rights, which allow them to control to a great extent how their personas (names, images, voices) are used in a commercial manner. Permission again will be needed to avoid a lawsuit.
There could also be trademark rights to consider. Many famous people have their names protected as trademarks for products or services they sell.
So ... you have intellectual property rights (copyrights, trademarks) and defamation laws and privacy rights and publicity rights to consider when trying to capitalize off the names and images of famous people. And you have your own trademark to tweak so you don’t repel consumers.
If you are still interested in creating this type of video game, I recommend you consult with an attorney in your area before you invest too much time and effort and money into it. And, going ahead, think about getting insurance coverage enough to cover lawsuits.
I'm pretty sure a lot of brands don't even allow their products in the games most of the time, even if it's not in a "satire" way(a lot of
light running shoes brands for example, i.e Nike, Adidas, etc) so I'd be caucious with that