The Blender Game Engine has apparently been shut down.
The game engine, BGE, built into Blender was basically just killed off today. In this developer commit to the upcoming 2.8 source code, you can see that MASSIVE code changes were made, that basically purged Blender Game Engine from Blender 2.8.
And here’s the latest post from the Blender team:
Removing Blender Game Engine from Blender 2.8
Folders removed entirely:
This includes DNA data and any reference to the BGE code in Blender itself.
We are bumping the subversion.
- Tile/clamp code in image editor draw code.
- Viewport drawing code (so much of this will go away because of BI removal that we can wait until then to remove this.
You can learn more here.