  Let Spec(A) be an affine derived stack. We give two proofs of the existence
of a canonical map from the moduli space of shifted Poisson structures (in the
sense of Pantev-To\"en-Vaqui\'e-Vezzosi, see http://arxiv.org/abs/1111.3209 )
on Spec(A) to the moduli space of homotopy (shifted) Poisson algebra structures
on A. The first makes use of a more general description of the Poisson operad
and of its cofibrant models, while the second in more computational and
involves an explicit resolution of the Poisson operad.
