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This is game theory questions. Can you please help me solve them. 3. (10 points) Consider the Hotelling model studied in class but assume the

This is game theory questions. Can you please help me solve them.

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3. (10 points) Consider the Hotelling model studied in class but assume the "city" is a square, and consumers are distributed uniformly over this square. Otherwise the game is the same as in class: 2 firms choose locations, consumers buy one unit from the closest firm, firms maximize the number of units sold. Find the Nash equilibrium. 4. (10 points) Find all the Nash equilibria (both pure and mixed) of the 2-player game below. L MR A -1,1 3,1 1,2 B 2.2 2,-1 0,0 C 0.0 0.2 4.4

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