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4. Say that Cruz and Rubio each have 60 million dollars to spend in three primaries: North Carolina, Georgia, and Florida. North Carolina has 10

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4. Say that Cruz and Rubio each have 60 million dollars to spend in three primaries: North Carolina, Georgia, and Florida. North Carolina has 10 delegates, Georgia has 20, and Florida has 30. If a candidate spends more money in a state than his opponent, then he gets all the delegates. If the candidates spend equal amounts of money in a state, then they split the state's delegates. For example, if Cruz spends 5 million in North Carolina, 15 million in Georgia, and 40 million in Florida, which we can write as (5, 15, 40), and Rubio spends (15, 25, 20), then Cruz wins Florida and gets 30 delegates while Rubio wins North Carolina and Georgia and gets 10 + 20 = 30 delegates. a. Are there pure strategy Nash equilibria in this game? If so, find them. b. Now say that Cruz has 80 million dollars while Rubio still has 60 million. Are there pure strategy Nash equilibria in this game? If so, find them

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