Agreeing to Agree: Reaching Unanimity via Preference Dynamics Based on Reliable Agents

Situations akin to public deliberation leading to preference changes are modelled. A set of agents is considered, each endowed with a preference relation over a set of objects and a reliability relation over the involved agents. Different ways in which the public announcement of the current individual preferences can influence the agents' future preferences are studied. Special emphasis is given to ways in which the repetitive public announcement of the individual preferences lead to a unanimity on preferences.