3. Consider the following n-person game. Each player picks an integer between 1 and m. If you pick k, and you are the only one that picks k, then you win Sk. Note: there can be multiple winners (or no winners) in a round of this game. (a) Find your expected payoff if you choose k, given that the other n-1 players are using strategy p = (P1.P2 Pm). (b) Find the Nash equilibrium when n = 2 and m = 3. Note, this is just a simple 2-player non zero sum game, but be careful!

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