Properness and simplicial resolutions for the model category dgCat
  We provide proofs of two properties of the model category dgCat of dg-categories (with the Morita or Dwyer-Kan model structure): When working over a field the category dgCat is left proper. Natural simplicial resolutions in dgCat are given by dg-categories of Maurer-Cartan elements. 
Julian V. S. Holstein
math.CT