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Let's take the Morra Game, one of the classic game examples played in the Ancient Greek and Roman Periods. Answer the following questions (2nd,

 

Let's take the Morra Game, one of the classic game examples played in the Ancient Greek and Roman Periods. Answer the following questions (2nd, 3rd, 4th) about this game: Player A Player B 1 finger 2 fingers 1 finger (-2, 2) (3,-3) 2 fingers (3,-3) (-4, 4) 2. Is there a dominant strategy equilibrium? Explain. 3. Is there a pure strategy Nash equilibrium? Explain. 4. Find the mixed strategy equilibrium. Find the best response function of each player, draw its graphs. Show the mixed and pure strategy Nash equilibria on the graph. Calculate the expected payoff of each player.

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