1. For each of the following game, provide (i) the extensive form repre- sentation, and (ii)...

 

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1. For each of the following game, provide (i) the extensive form repre- sentation, and (ii) Mixed Strategy Nash equilibrium/equilibria. a) Prisoner's Dilemma b) Battle of the Sexes c) Matching Pennies 2. Find the Subgame Perfect Nash Equilibrium of the following game by the method of backward induction Server Good service Average service Customer Customer Tip Not tip Tp Not to Server: +3 Customer: 1 Server. -2 Server. +5 Server. 0 Customer +6 Customer -5 Customer: 0 3. Calculate the Bayesian Nash equilibrium of the following game: Player 2 C D Player 1 A x,9 3, 6 where B 6,0 6,9 12 with probability O with probability: 4. Suppose that you and all of your classmates taking the exam now are all invited to pick an integer between 0 and 50. The average of all these guesses, say x, will be calculated, and the winner of this game will be the one who picks the number that is closest to . a) What is the equilibrium for this game? b) What will be your guess? 1. For each of the following game, provide (i) the extensive form repre- sentation, and (ii) Mixed Strategy Nash equilibrium/equilibria. a) Prisoner's Dilemma b) Battle of the Sexes c) Matching Pennies 2. Find the Subgame Perfect Nash Equilibrium of the following game by the method of backward induction Server Good service Average service Customer Customer Tip Not tip Tp Not to Server: +3 Customer: 1 Server. -2 Server. +5 Server. 0 Customer +6 Customer -5 Customer: 0 3. Calculate the Bayesian Nash equilibrium of the following game: Player 2 C D Player 1 A x,9 3, 6 where B 6,0 6,9 12 with probability O with probability: 4. Suppose that you and all of your classmates taking the exam now are all invited to pick an integer between 0 and 50. The average of all these guesses, say x, will be calculated, and the winner of this game will be the one who picks the number that is closest to . a) What is the equilibrium for this game? b) What will be your guess?

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A a Prisoners Dilemma Extensive Form Representation The extensive form representation of the Prisoners Dilemma is a twoplayer game where each player is presented with two choices Cooperate or Defect T... View the full answer