A denotational semantics for deliberation dialogues

We present a denotational semantics for agent deliberation dialogues, i.e., dialogues over proposed actions, conducted under a broad class of interaction protocols. The semantics uses category-theoretic entities to represent deals proposed by agents and the preferences they articulate between these. The semantics is constructed jointly and incrementally by the participating agents in the course of the dialogue, and evolves with the dialogue. We consider properties of the semantics relating to deals and dialogue termination.