Exam 14: Game Theory and Strategic Behavior

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Whenever both players have a dominant strategy in a Nash game, that strategy will determine the outcome.

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A Bertrand equilibrium is an example of a Nash equilibrium.

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The prisoners' dilemma shows that in a Nash equilibrium:

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A Cournot equilibrium is an example of a Nash equilibrium.

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Reference: In the following games, all payoffs are listed with the row player's payoffs first and the column player's payoffs second. Reference: In the following games, all payoffs are listed with the row player's payoffs first and the column player's payoffs second.   -Games with structures like Game 9 above have been used to describe: -Games with structures like Game 9 above have been used to describe:

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Player A and Player B are playing a prisoners' dilemma game. If the players play the game repeatedly with each other, the players may play cooperatively.

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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, -In Game 6 above,

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The likelihood of a cooperative outcome in a repeated prisoners' dilemma type game decreases when:

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Pure strategy:

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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 4 above, -In Game 4 above,

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Nash games cannot have more than one equilibrium.

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A dominant strategy:

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The Cournot and Bertrand models are examples of "prisoner's dilemma" games.

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A game can be both Cournot and Nash.

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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. Suppose that the two companies can legally make a non-binding agreement to not advertise. Based on the payoff matrix shown above, will the two companies honor such an agreement to not advertise? -Game 8 shows the payoff matrix in terms of profit (in millions of dollars)for two possible strategies: advertise or do not advertise. Suppose that the two companies can legally make a non-binding agreement to not advertise. Based on the payoff matrix shown above, will the two companies honor such an agreement to not advertise?

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The concept of backwards induction applies to both simultaneous and sequential games.

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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 (36-40). In the following games, all payoffs are listed with the row player's payoffs first and the column player's payoffs second (36-40).   -In Game 5 above, -In Game 5 above,

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In order to solve a sequential game:

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A prisoners' dilemma game illustrates the conflict between:

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Player A has a dominated strategy:

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