I'd like to keep all my games on a different computer and the folder with the games then just gets mounted on Windows via iSCS or NFS. This certainly works for one PC using the folder. But I'd like to use more than one PC to e.g. play the same game with friends at the same time. Everyone would use his own account but I don't know if there will be any issues when reading and in particular writing to the same drive. Most important stuff seems to get synced into the cloud anyways for common and recent games. I don't if games generally do a lot of writing to the program folder beyond saving the files. I mostly have games from Steam, UPlay, Origin and EpicGames in mind.
If the game is designed to support multiple players with only one copy of the game (and this does occasionally happen - Spawn Mode from the Starcraft games springs to mind), then there should be documentation to tell you how it's done. Either in a menu option or somewhere on the game's official website.
If the game is not specifically designed to support this style of play, then trying to do it on your own is probably verging on piracy, and thus off-topic for discussion around here.
If the game in question is an online multiplayer game (something like Fortnite) then the developer's servers may also have means of detecting that multiple users are all running the same copy of the game (assuming you can make it work) and that might lead to bans, account suspensions and goodness knows what else. Not judging or anything, just FYI.