Generalisation of Samet's (2010) agreement theorem

We develop a framework that allows us to reproduce the generalised agreement theorem of Samet (2010), and extend it to models in which agents can base their decisions on false information, while highlighting the features that distinguish the result from the classic theorems found in the literature. For example, it allows decisions to be based on interactive information, and imposes no requirements on the language in which the states are described. Finally, we produce results that are similar to Samet’s but that do not require his assumption of the existence of a completely uninformed agent.