I had this problem yesterday. I could click the Install button a thousand times and it won't install. Here's what I did to fix it:
Found a post and this fixed my problem. http://answers.ea.com/t5/The-Sims-4/Sims-4-won-t-install/m-p/3430723#U3430723
Thank you to the person who posted it.
Here is the fix:
Click on your window button. In the search tab type regedit. This should prompt your for a UAC - click yes to authorize it. The Registry editor will load.
Now look for [HKEY_LOCAL_MACHINE\SOFTWARE\Wow6432Node\Maxis\The Sims 4
If its not there you should create the key there. Once created you will need to create the following string values:
“GDFBinary”=”C:\Program Files (x86)\Origin Games\The Sims 4\__Installer\GDFBinary_en_US.dll”
“DisplayName”=”The Sims™ 4"
“Locale”=”en_US”
“Install Dir”=”C:\Program Files (x86)\Origin Games\The Sims 4\”
Just type the bold letters, not the quotes or the = sign. Fist you name it, GDFBinary and then you add the value by right clicking the mouse & selecting Modify. You should be able to cut and paste the value, is you can't you may have selected the wrong option. Hopes this works for you.
If this work, make sure to give credit to the user who came up with this fix in the SimCity section:
http://answers.ea.com/t5/Miscellaneous-Issues/Install-Loop/m-p/632798#M12450
