I'm not sure. Infinite ended really well and I feel that it would be kind of weird to continue it but I really love Bioshock and I don't want any other team doing it other then Irrational and I would have no problem with another IG Bioshock game. So I don't know what I want.
I have loved the last two games and would be interested to see what they would do, but on the whole I would prefer seeing Ken Levine try something else - maybe an open world game -especially with his storytelling and world building skills.
However I can see them doing another game as the template they have set up does open up the possibility for a Final Fantasy style series where all the games are in different settings but in someway related through gameplay, style or storytelling.
I think they would be pleasing the publishers more than their own creative impulses were they to do a third Bioshock but they might get themselves in a position, much that Kojima seems to be, that a publisher will only give them the big bucks that they need to realise their vision if they stick to making games which are part of an already successful series, rather than a new IP.
I personally don't want to see another one but I trust that Irrational would have a really good reason if they decided to go back to that universe.
This. I really do not think it would be smart to do, especially given the nature of Infinite's ending, but if they went there then I am sure they have a pretty good reason for doing so.
I don't want an infinite 2, I know that much. As far as another Bioshock game, though, I think I'd have to see what it is first. I really enjoyed infinite and if they could capture that again I think it would be worth another go.
But I also think they could do something similar without calling it Bioshock. Maybe drop some of what is expected of that name to carry for the next generation.
After just playing through Infinite, I think I'm ready for Irrational to retire the "BioShock" name. Infinite's final moments tied everything together and wrapped it with a bow so perfectly that it is more likely to sour all the work they put in to making it to this point by making another BioShock too soon, so I voted "No way!"
I'd love it if they happened to revisit the whole "A man, a lighthouse, and a city" concept, but not as directly as both BioShock and Infinite. A very subtle callback in a spiritual successor would be really nice, though!
Personally I'm ready for a new _____Shock but not another BioShock. At least not in this generation of games.
Now they have an excuse to make a new bunch of shit without changing the name of the series. That's like some fucking holy grail when it comes to keeping a franchise from becoming rote while building a franchise if you ask me. Like Assassin's Creed only more successful. And not annual. Shit. Bringing up Assassin's Creed hurts my position which is hell yeah. I was going to make a great joke about irrational behavior from people who just played a fantastic game in a fantastically new and refreshing world. Get it? Irrational behavior? Funny, right?