In the given game matrix, announcing weak rationality stops after the first step elimination of action c, while strong rationality eliminates additional rows.

Strong rationality is a more demanding condition than weak rationality. While SR implies WR, there can be moves that satisfy weak but not strong rationality. This shows in the following difference between the current and the previous example. In the present matrix, announcing Weak Rationality stops after the first step elimination of action c. The reason is that, in the second matrix, the row player’s bottom move is not strictly dominated by any other action, so this row remains after re-announc