Consider the following game in extensive form.

(a) (2 point). Is this a game of perfect recall? If so show that every player has perfect recall (prove that conditions of definition hold). Otherwise show which condition, for which player fails. (b) (3 points). Is there a behavioral strategy that is equivalent to the mixed strategy s, that assigns probability 1/2 to both (L,l) and (R,r)? If so construct such behavioral strategy, otherwise explain why there is no such strategy. Hint: Recall that a behavioral strategy equivalent to s; must generate the same probability distribution over the end nodes as s; does