Hi I'm trying to understand how to convert into extensive form this imperfect information game.
consider the second graph of this example taken from
example of imperfect information game in extensive form to convert in normal form
the game represented in this graph has for p2 the following strategies:
(A;B ->E), (A;B->F), (B;B->E), (B;B->F).
isn't this list wrong and shouldn't it be like this instead?:
(A;C ->E), (A;C->F), (B;D->E), (B;D->F).
(I couldn't post directly the graph because I don't have enough reputation points)
The strategy set is correctly written. It is the strategy set for P1, not P2. P1 cannot condition on whether C or D is played because he does not observe which has been played. Rather, each strategy defines an action at each information set for P1. P1 has two information sets, the beginning and following C or D from P2 -- he doesn't observe which was chosen -- so he has four possible strategies, as listed.