In some cases, you will see a resolution that is half the size of the native resolution of the screen. Selecting it will not work.
If you look in the Console (/Applications/Console), you'll observe a message like this one:

11/11/14 10:35:56,465 WindowServer[123]: CGXCompleteDisplayConfiguration: Monitor 4304241; Mode -1569958512 not available
11/11/14 10:35:56,465 SwitchResX Control[174]: CGSCompleteDisplayConfigurationWithOption

This is a bug within macOS itself. macOS reports this resolution as available when building the resolution list, but doesn't let you select it.

You can try to work around it by creating a custom scaled resolution that would be one pixel less than native. That is, if your monitor is 3840x2160, try to create a scaled resolution like 3839x2160, this should create the same HiDPI 1920x1080, the pixel that has been removed will not be visible.