Note that imperfect information games are complete for EXP rather than PSPACE. (I’m surprised that I’d never run into this fact explicitly before. Scott Aaronson pointed it out to me today.)
And of course cooperative games with two non-communicating players are complete for NEXP.
ETA: also note that playing a “game against nature” is also PSPACE complete, if nature is stochastic (since IP=PSPACE).
Note that imperfect information games are complete for EXP rather than PSPACE. (I’m surprised that I’d never run into this fact explicitly before. Scott Aaronson pointed it out to me today.)
And of course cooperative games with two non-communicating players are complete for NEXP.
ETA: also note that playing a “game against nature” is also PSPACE complete, if nature is stochastic (since IP=PSPACE).