[Haskell-beginners] Monad transformers and MonadPlus

[Johann Bach]

This interesting page in Wikibooks describes how to write MaybeT:

http://en.wikibooks.org/wiki/Haskell/Monad_transformers

And it makes MaybeT an instance of MonadPlus. Even when used with IO
as the inner monad.

the constraint on the inner monad is Monad, not Monad plus:

  instance (Monad m) => MonadPlus (MaybeT m) where

Apparently IO is not normally an instance of MonadPlus. It is
interesting to be able to combine IO operations with mplus, because
the idea of "trying computations until one succeeds" is so common in
IO.

Then I started wondering if StateT or ErrorT could be used to make IO
the inner monad of a MonadPlus instance. Well, StateT is an instance
of MonadPlus but with a MonadPlus constraint on the inner monad, so IO
won't cut it.

This leads me to wonder if there is a way to write mplus and mzero in
StateT or ErrorT without a MonadPlus constraint on the inner monad.
But if not, what was special about MaybeT as described in Wikibooks?