In this example, since there is only one type for Ann, both of Bob’s types are certain about Ann’s beliefs. If Bob is of type \(t_2\) then he is certain Ann is choosing \(u\) while if he is of type \(t_2'\) he thinks there is a 75% chance she plays \(u\). Ann assigns equal probability (\(0.5\)) to Bob’s types; and so, she believes it is equally likely that Bob is certain she plays \(u\) as Bob thinking there is a 75% chance she plays \(u\). The above type space is a very compact description of the players’ informational attitudes. An epistemic-probabilistic model can describe the same situation (here \(p_i\) for \(i=1,2\) is player \(i\)’s prior probability):