OS X build fails with "Could not find any matching devices"

My Unity 4.3 project runs fine in the editor. But creating a Mac OS X build always fails to launch with this line at the end of the log:

 Warning: Could not find any matching devices, thus iterator creation failed.

Apparently other users have the same problem, including users who got a Unity game from Steam.

My machine runs OS X 10.9.2 and Unity 4.3.4f1. I tried to build for OS X Universal, x86 and x86_64, with and without development mode enabled, no change. Seeing that input devices could be the problem I checked the Accessibility pane to see whether the app is listed there, but it isn't.

Is there a workaround or solution to this problem? If there isn't, has this been reported as an issue to the Unity developers?