In "Stay Mayor!," by Toronto based app developer Extra! Extra! Games, the player controls a cartoon mayor being pursued by a pack of "bloodthirsty" reporters and cameramen. Players must dodge crack pipes littered on the ground while being chased by the media.
The player's mission is to collect $201,255 to buy the alleged video before gossip website Gawker does.
In May, Gawker sought $200,000 in donations to buy the video. The money was raised but the website has been unable to obtain it.
Gawker's editor and two Toronto Star reporters said they viewed the video.
Ford says the video doesn't exist and has refused to resign.