When trying to launch a game, the PC is asking for administrator privileges

This is a feature of Windows since Vista, called *User Account Control*. If turned on (which it is by default, and recommended), even if you are the only user on a PC, you do not automatically have administrator privileges. If you install the game with administrator privileges, you will need to run it that way, too. Try launching the game by right-clicking and selecting "Run as administrator" from the popup menu. If this works, then you can modify the shortcut so that you don't have to right-click each time. To do so, right-click on the shortcut and select "Properties" from the popup menu. In here go to the 'Compatibility' tab and at the bottom of this tab is a section labeled 'Privilege Level'. Check mark the box next to the text that says "Run this program as an administrator". Click 'Apply' and then 'OK'.
See other articles in General Troubleshooting, Strategic Command.