really need help!

4. In our second model of nuclear policy, we assumed that f = 3 and allowed BUSA and 3:;ng to vary when we considered different policies. That wasn't really realistic; B is the effective repower, while f represents the ability to strike back after an attack. These aren't really the same, so let's change that. Suppose, in our model, that we are early in the nuclear arms race, where the USA has an advantage in terms of the number of nuclear weapons. In terms of the model, suppose that BUSA = 600, 33333 = 200 are xed. However, suppose that both countries can develop technologies which affect f: (1 fUSA) is the fraction of repower the USA strikes back with, while (1 fUSSR) is the fraction of repower that the USSR strikes back with. (a) (5 points) Reformulate the game matrix in model 2, incorporating the changes above. Explain/point out how it changed. (b) (5 points) Find conditions on fUSA and fUSSR where (Refrain, Refrain) is a Nash equilibrium of the game. What is the relationship to the conditions we found in class? (c) (5 points) During the cold war, a major crisis arose when the USSR placed missiles in Cuba, which was much closer to the USA. Explain how this change would be represented in the model, and why the US reacted to reverse this change. ((1) (5 points) Currently, international treaties prevent permanently stationing nuclear weapons in earth orbit. How would this technology be represented in our model? Can you explain why both parties might want to ban it