"For P the ranking is: P believing and SB revealing itself (4), P not believing and SB revealing itself (3), P believing and SB not revealing itself (2) and P not believing and SB not revealing itself (1). We indicate the prefereces by pairs of numbers, eg (1,2), where the first number describes SB's ranking and the second one P's ranking:"

I believe this is wrong and does not match the table. For P the ranking is: P believing and SB revealing itself (4), P not believing and SB not revealing itself (3), P believing and SB not revealing itself (2) and P not believing and SB revealing itself (1).