Using the definition provided for the movement diagram, determine whether the following zero-sum games have a pure strategy Nash equilibrium. If the game does have a pure strategy Nash equilibrium, state the Nash equilibrium. Assume the row player is maximizing his payoffs which are shown in the matrices below.

a.

b.

c.

d.

e. A predator has two strategies for catching a prey (ambush or pursuit). The prey has two strategies for escaping (hide or run). The payoff matrix entries, the chance of survivability, allow the prey to maximize and the predator to minimize.

f.

g.

h.

i. 

Rose R1 R2 C1 10 5 Colin C2 10 0