4. Suppose that Anne and Bob must simultaneously name a number in the set { 1, 2, . .., 10}. If they name the same
4. Suppose that Anne and Bob must simultaneously name a number in the set { 1, 2, . .., 10}. If they name the same number, the each get a payoff of 1; if they name different num- bers, they each get a payoff of 0. (a) Find all (pure and mixed strategy ) Nash equilibria of this game. [10 pts] (b) How many are there? Explain why. [10pts] (Hint: there are a lot of them!)
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