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Which of the following statements is incorrect?


A) A Nash equilibrium is a situation in which each player chooses their best strategy given the strategies chosen by the other players in the game.
B) A Cournot equilibrium is an example of a Nash equilibrium.
C) A Bertrand equilibrium is an example of a Nash equilibrium.
D) A Nash equilibrium maximizes the aggregate payoffs of the players of the game.

E) A) and B)
F) A) and C)

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Consider a repeated prisoner's dilemma game. The likelihood of a cooperative outcome rises when:


A) they value payoffs in future periods much less than they value payoffs in the current period.
B) Interactions between the players are frequent.
C) Cheating is difficult to detect.
D) The one-time gain from cheating is large in comparison to the eventual cost of cheating.

E) B) and D)
F) C) and D)

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In the following games, all payoffs are listed with the row player's payoffs first and the column player's payoffs second. In the following games, all payoffs are listed with the row player's payoffs first and the column player's payoffs second.   -In Game 3 above, A) B1 is a dominated strategy for Player B B) B2 is a dominated strategy for Player B C) B3 is a dominated strategy for Player B D) Player B has no dominated strategy. -In Game 3 above,


A) B1 is a dominated strategy for Player B
B) B2 is a dominated strategy for Player B
C) B3 is a dominated strategy for Player B
D) Player B has no dominated strategy.

E) A) and B)
F) A) and C)

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In the following games, all payoffs are listed with the row player's payoffs first and the column player's payoffs second. In the following games, all payoffs are listed with the row player's payoffs first and the column player's payoffs second.   -Game 7 is an example of prisoners' dilemma. Thus, the payoff matrix contains jail sentences in terms of months. For this game, A) Player A has a dominant strategy. B) Player B has a dominant strategy. C) both players have dominant strategies. D) neither player has a dominant strategy. -Game 7 is an example of prisoners' dilemma. Thus, the payoff matrix contains jail sentences in terms of months. For this game,


A) Player A has a dominant strategy.
B) Player B has a dominant strategy.
C) both players have dominant strategies.
D) neither player has a dominant strategy.

E) B) and D)
F) All of the above

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In the following games, all payoffs are listed with the row player's payoffs first and the column player's payoffs second. In the following games, all payoffs are listed with the row player's payoffs first and the column player's payoffs second.   -Which statement below is correct concerning Game 2 above? A) This game is an example of a prisoner's dilemma game. B) This game is not an example of a prisoner's dilemma game. C) This game has no Nash equilibrium. D) This game has multiple Nash equilibria in pure strategies. -Which statement below is correct concerning Game 2 above?


A) This game is an example of a prisoner's dilemma game.
B) This game is not an example of a prisoner's dilemma game.
C) This game has no Nash equilibrium.
D) This game has multiple Nash equilibria in pure strategies.

E) B) and C)
F) A) and D)

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In the following games, all payoffs are listed with the row player's payoffs first and the column player's payoffs second (24-25) . In the following games, all payoffs are listed with the row player's payoffs first and the column player's payoffs second (24-25) .   -In Game 1 above, A) Player A has a dominant strategy. B) Player B has a dominant strategy. C) Both players have dominant strategies. D) Neither player has a dominant strategy. -In Game 1 above,


A) Player A has a dominant strategy.
B) Player B has a dominant strategy.
C) Both players have dominant strategies.
D) Neither player has a dominant strategy.

E) B) and D)
F) All of the above

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In the following games, all payoffs are listed with the row player's payoffs first and the column player's payoffs second. In the following games, all payoffs are listed with the row player's payoffs first and the column player's payoffs second.   -Game 8 shows the payoff matrix in terms of profit (in millions of dollars) for two possible strategies: advertise or do not advertise. Which of the following is a true statement? A) Coke has a dominant strategy to not advertise. B) Pepsi has a dominant strategy to not advertise. C) The game has one Nash equilibrium. D) The game has multiple equilibria. -Game 8 shows the payoff matrix in terms of profit (in millions of dollars) for two possible strategies: advertise or do not advertise. Which of the following is a true statement?


A) Coke has a dominant strategy to not advertise.
B) Pepsi has a dominant strategy to not advertise.
C) The game has one Nash equilibrium.
D) The game has multiple equilibria.

E) A) and B)
F) A) and C)

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Player A and Player B are playing a prisoners' dilemma game. If the game is played only once, the players would not be expected to cooperate.

A) True
B) False

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Backward induction refers to:


A) a procedure for solving a sequential-move game by starting at the beginning of the game tree and finding the optimal decision for the player at each decision point.
B) a procedure for solving a sequential-move game by starting at the end of the game tree and finding the best response function at each decision point.
C) a procedure for solving a sequential-move game by starting at the end of the game tree and finding the player's motives for making the decision at each decision point.
D) a procedure for solving a sequential-move game by starting at the end of the game tree and finding the optimal decision for the player at each decision point.

E) All of the above
F) A) and D)

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A game can be both Nash and Cournot at the same time.

A) True
B) False

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In the following games, all payoffs are listed with the row player's payoffs first and the column player's payoffs second. In the following games, all payoffs are listed with the row player's payoffs first and the column player's payoffs second.   -Suppose in Game 4 above that the players make their choices sequentially, with Player A choosing first. The Nash equilibrium in this game will be, A) Player A choosing A1 and Player B choosing B1. B) Player A choosing A1 and Player B choosing B3. C) Player A choosing A3 and Player B choosing B1. D) Player A choosing A3 and Player B choosing B3. -Suppose in Game 4 above that the players make their choices sequentially, with Player A choosing first. The Nash equilibrium in this game will be,


A) Player A choosing A1 and Player B choosing B1.
B) Player A choosing A1 and Player B choosing B3.
C) Player A choosing A3 and Player B choosing B1.
D) Player A choosing A3 and Player B choosing B3.

E) B) and C)
F) A) and B)

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Player A and Player B are playing a prisoners' dilemma game. Which of the following statements is false?


A) If the players play the game repeatedly with each other, the players may play cooperatively.
B) If the game is played only once, the players would not be expected to cooperate.
C) If players play the game repeatedly with each other, they are more likely to cooperate if they are patient.
D) If the game is played only once, the outcome minimizes total jail time.

E) All of the above
F) B) and C)

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A game situation in which there is a tension between the collective interest of all of the players and the self-interest of individual players is called a "prisoner's dilemma".

A) True
B) False

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In the following games, all payoffs are listed with the row player's payoffs first and the column player's payoffs second. In the following games, all payoffs are listed with the row player's payoffs first and the column player's payoffs second.   -In Game 2 above, A) Player A choosing A1 and Player B choosing B1 is a Nash equilibrium. B) Player A choosing A1 and Player B choosing B2 is a Nash equilibrium. C) Player A choosing A2 and Player B choosing B1 is a Nash equilibrium. D) Player A choosing A2 and Player B choosing B2 is a Nash equilibrium. -In Game 2 above,


A) Player A choosing A1 and Player B choosing B1 is a Nash equilibrium.
B) Player A choosing A1 and Player B choosing B2 is a Nash equilibrium.
C) Player A choosing A2 and Player B choosing B1 is a Nash equilibrium.
D) Player A choosing A2 and Player B choosing B2 is a Nash equilibrium.

E) B) and D)
F) B) and C)

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A Bertrand equilibrium is an example of a Nash equilibrium.

A) True
B) False

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Player A and Player B are playing a prisoners' dilemma game. If the game is played only once, the outcome minimizes total jail time.

A) True
B) False

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In a simultaneous move game with two players,


A) if neither player has a dominant strategy, we successively eliminate each player's subordinate strategy.
B) a player chooses among two or more pure strategies according to pre-specified probabilities.
C) if one player has a dominant strategy and the other doesn't, you can't reach a Nash equilibrium.
D) if both players have a dominant strategy, these constitute their Nash equilibrium strategies.

E) B) and C)
F) B) and D)

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In a Nash game, each player will have a dominant strategy.

A) True
B) False

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In the following games, all payoffs are listed with the row player's payoffs first and the column player's payoffs second. In the following games, all payoffs are listed with the row player's payoffs first and the column player's payoffs second.   -In Game 6 above, A) Player A choosing A1 and Player B choosing B1 is a Nash equilibrium. B) Player A choosing A2 and Player B choosing B2 is a Nash equilibrium. C) there is no Nash equilibrium. D) there are multiple Nash equilibria in pure strategies. -In Game 6 above,


A) Player A choosing A1 and Player B choosing B1 is a Nash equilibrium.
B) Player A choosing A2 and Player B choosing B2 is a Nash equilibrium.
C) there is no Nash equilibrium.
D) there are multiple Nash equilibria in pure strategies.

E) B) and D)
F) A) and B)

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Which of the following statements is not true?


A) Nash games cannot have more than one equilibrium.
B) A game can be both Cournot and Nash.
C) A game can be both Bertrand and Nash.
D) Whenever both players have a dominant strategy in a Nash game, that strategy will determine the outcome.

E) B) and C)
F) A) and B)

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