I've been a SimCity player since the very first version, so naturally I had to check out the latest edition of SimCity (the 2013 edition).
DirectX is required for this game, and when I ran the installer it failed once it got to the DirectX installation for some reason throwing up the following error: DirectX Setup Error: An internal error occurred.
Once you hit OK, the installation just stops and there isn't any more information.
The fix for this is pretty simple though. All you need to do is follow this link to Microsoft's DirectX download page.
Download the file on the page, and run the installation. Once that is complete, try to run the SimCity 5 installation again, and it should complete without any problems.