Accept (DAMSL): 
Agreement (DIT): S believes that the addressee weakly believes (like S) that the semantic content is true.
Accept (SWBD-DAMSL): The Agreements (Accept, Reject, Partial Accept etc) all mark the degree to which speaker accepts some previous proposal, plan, opinion, or statement. This is a generalization over the use in Allen and Core (1997), which seems to reserve Agreements for accepts or rejects of proposals, not statements.
Accept (TRAINS): Art accept indicates that the hearer has accepted the act in the previous utterance, be it a request, suggest, inform of whatever. After an agent has done an accept, they are committed to whatever the speech act that was accepted requires. Accepts can also be implicit if the agent continues on without explicit denial. Examples often overlap with acknowledgments
Accept (Verbmobil): With an utterance expressing an ACCEPT the speaker explicitly accepts a proposal. ACCEPT is a special case of FEEDBACK_POSITIVE. Note that only proposals can be accepted, such as those put forward in the dialogue acts SUGGEST, DEFER, OFFER, COMMIT, REQUEST_COMMIT.