Offers then have a similar effect on the CP-net as the coherence relation Elaboration presented in (Cadilhac et al., 2011).
to automatically update the CP-net constructed so far with a current EDU that's an Offer, the two step rule for Offer(π 1 , π 2 ) is: 1. to update the speaker's CP-net according to the preferences expressed in π 1 , and 2. if π 2 expresses preferences, to enrich the CPnet with these new preferences so that each variable in π 2 depends on each variable in π 1 .