Consider the game below, where players I and II can play either A or B.

Player 1 (rows) / Player 2 (columns)	A	B
A	a,a	c,d
B	d,c	b,b

(a) Write down the parameter restrictions necessary to make (A,A) a Nash equilibrium. How do those compare to the parameter restrictions necessary to make B a dominated strategy for each player? Which is more restrictive, and why does that make sense, intuitively.

(b) Write down the parameter restrictions necessary to make (B,B) a Nash equilibrium. Under what parameter values can both (A,A) and (B,B) be Nash? ]

(c) Assuming your parameter restrictions in (b) hold, what is the mixed strategy Nash equilibrium of the game, where each player plays A with probability and B with probability (1 )? [Because its a symmetric game, it will be easier to interpret if the probabilities are associated with the same strategy.]

(d) Explain how from part (c) responds to the parameter values a, b, c, d. Give some intuition, not just math.