Two
Agents in a World of Three Boxes.
The content of the biggest thought balloon represents the model that
the Red Shoe Robot has of the world that it inhabits. The robot uses this model when it engages in reasoning about the world, planning actions and when
communicating with the Grey Shoe Robot. We can think of the objects in
the thought balloon as representing propositions about the world that the
robot believes to be true. The black box in the thought balloon
represents the fact that the Red Shoe Robot believes there to be a black
box on the floor lying underneath a dotted box and next to a blue box.
This is seen to be a true belief. The robot does not only have beliefs
about the world of boxes, but also beliefs about the beliefs of the second
robot. These beliefs about beliefs are called meta-beliefs and are
represented within the nested thought balloons. The outermost yellow box
represents that the Red Shoe Robot believes the Grey Shoe Robot to believe that among the boxes on the floor there is a yellow one. In other words: the Red Shoe Robot believes the Grey Shoe Robot to have a false belief
about the world of boxes, since it believes the Grey Shoe Robot to think that the blue box is yellow. This is a false belief of the Red Shoe Robot, since the Grey Shoe Robot does actually correctly believe the blue box to be blue (see the thought balloon of the Grey Shoe Robot). And so on...