Use the definition provided in Section 10.1 for dominance to determine if any row or column strategies should be eliminated in the games described in problem 1ai. State the row and columns that can be eliminated.

Data from problem 1a- i

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.