This problem is designed to give you practice in reading a game matrix and to check that you understand the definition of a dominant strategy. Consider the following game matrix.
(a) If (top, left) is a dominant strategy equilibrium, then we know that a > e , b > d , c > g, and f > h.
(b) If (top, left) is a Nash equilibrium, then which of the above inequalities must be satisfied? a > e; b > d.
(c) If (top, left) is a dominant strategy equilibrium must it be a Nash equilibrium? Why? Yes. A dominant strategy equilibrium is always a Nash equilibrium.