  We consider a variant of the entanglement of assistance, as independently
introduced by D.P. DiVincenzo {\em et al.} ({\tt quant-ph/9803033}) and O.
Cohen (Phys. Rev. Lett. {\bf 80}, 2493 (1998)). Instead of considering
three-party states in which one of the parties, the assistant, performs a
measurement such that the remaining two parties are left with on average as
much entanglement as possible, we consider four-party states where two parties
play the role of assistants. We answer several questions that arise naturally
in this scenario, such as (i) how much more entanglement can be produced when
the assistants are allowed to perform joint measurements, (ii) for what type of
states are local measurements sufficient, (iii) is it necessary for the second
assistant to know the measurement outcome of the first, and (iv) are projective
measurements sufficient or are more general POVMs needed?
