Before I read your reply, I assume that Alfred will lower his estimate a lot, and Betty might raise her estimate a little. I expect Betty's estimate to still be lower than Alfred's, though the size of these effects would be dependent on how much more geography Betty knows than Alfred.

After reading your reply, I think you're right about convergence, and definitely right about driving your answer towards what you think is correct as fast as possible rather than holding back for fear of seeming to give in.