Even though the transition over to Windows 10 has gone smoothly for most of the millions of people who have upgraded their operating system, some have experienced issues with some of their games.
We already knew that Windows 10 doesn't support SafeDisc and Securom, and many of the games using those DRMs have not been working properly. With the latest security update for Windows 10, the list of affected games has gotten longer, and Bioshock (2007) among others are not working as intended with the new operating system.
Microsoft is however working on a fix, but until then you're best chance is to deactivate the update. You'll find out how on Microsoft's support page.