It is known, thanks to Gabber, that algebraic spaces are sheaves in the fpqc topology:


[Stacks project 03W8](http://stacks.math.columbia.edu/tag/03W8) 


Is the analogous statement for algebraic (Artin) stacks true? If not, is it true under some reasonable hypotheses?



Do algebraic stacks satisfy fpqc descent?
It may be helpful to have a look at [these notes](http://www.math.harvard.edu/~gaitsgde/grad_2009/SeminarNotes/Sept15-17%28stacks%29.pdf) by Anatoly Preygel (see also [MO/15910/2503](https://mathoverflow.net/a/15910/2503)). In particular, Proposition 3.3.6 says that an algebraic stack is an fpqc sheaf if the diagonal is quasi-affine.


