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3. Consider the following game. There are 10 political positions, 1,... ,10, from the most liberal...

3. Consider the following game. There are 10 political positions, 1,... ,10, from the most liberal to the most conservatives. Iwo politicians simultaneously choose what position they pick in order to maximize the percentage of votes they can get, 10% of voters are at each position. Voters will vote for the politician they are closer to. If two politicians choose the same position then they each get 50% of the votes.

(a) Solve this game by iterative deletion of strictly dominated strategies.

(b) What are (pure-strategy) Nash equilibria of this game?

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