Principles of Economics (MindTap Course List)
8th Edition
ISBN: 9781305585126
Author: N. Gregory Mankiw
Publisher: Cengage Learning
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Chapter 17, Problem 5CQQ
To determine
Relevance of Prisoner’s dilemma.
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Sam and Sarah are thinking about getting married. However if either of them cheats on the other, they would get a payoff of 10, while the other person gets zero. If neither cheat, they stay with each other and get a payoff of 7 each and if both cheat, the relationship falls apart and each get a payoff of 1.
What is the Nash equilibrium of this game?
a. Cheat, Cheat
b. Not cheat, Not cheat
Sam cheats, Sarah doesn't
Sarah cheats, Sam doesn't
Which of the following correctly characterizes a Nash Equilibrium:
a. The players could not be jointly better off if they cooperated.
b. There is no incentive for either player to deviate from their strategy because the outcome maximizes the combined payoff of all players.
c. Neither player has incentive to deviate from their strategy given the other player's strategy
d. Neither player can have a dominant strategy..
Use the following payoff matrix for a one-shot game to answer the accompanying questions. a. Determine the Nash equilibrium outcomes that arise if the players make decisions independently, simultaneously, and without any communication. Which of these outcomes would you consider most likely? Explain. b. Suppose player 1 is permitted to “communicate” by uttering one syllable before the players simultaneously and independently make their decisions. What should player 1 utter, and what outcome do you think would occur as a result? c. Suppose player 2 can choose its strategy before player 1, that player 1 observes player 2’s choice before making her decision, and that this move structure is known by both players. What outcome would you expect? Explain.
Chapter 17 Solutions
Principles of Economics (MindTap Course List)
Ch. 17.1 - Prob. 1QQCh. 17.2 - Prob. 2QQCh. 17.3 - Prob. 3QQCh. 17 - Prob. 1CQQCh. 17 - Prob. 2CQQCh. 17 - Prob. 3CQQCh. 17 - Prob. 4CQQCh. 17 - Prob. 5CQQCh. 17 - Prob. 6CQQCh. 17 - Prob. 1QR
Ch. 17 - Prob. 2QRCh. 17 - Prob. 3QRCh. 17 - Prob. 4QRCh. 17 - Prob. 5QRCh. 17 - Prob. 6QRCh. 17 - Prob. 7QRCh. 17 - Prob. 1PACh. 17 - Prob. 2PACh. 17 - Prob. 3PACh. 17 - Prob. 4PACh. 17 - Prob. 5PACh. 17 - Prob. 6PACh. 17 - A case study in the chapter describes a phone...Ch. 17 - Prob. 8PACh. 17 - Prob. 9PA
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- 1arrow_forwardRoger and Rafael play a game with the following rules. Roger is given $250 to divide between himself and Rafael. Rafael does not get to choose but he can reject Roger’s offer if he does not like it. If Rafael rejects, both get nothing. If Rafael accepts, both get the split that Roger decided. a. What is this game called? b. Find all Nash equilibria for this game. c. When this game is played in the real world, do the predictions in part 1b materialize? Why/why not? d. Are all Nash equilibria in part 1b Pareto Optimal? Explainarrow_forwardTucker and Eddie are playing the following game. Tucker can choose A or B and Eddie can choose C or D. The first payoff is for Tucker, the second for Eddie. Eddie Tucker C D A 3, 2 4, 3 B 4, 5 3, 4 Identify the Nash equilibrium(s) in this game. What rational game theoretic advice would you offer Tucker and Eddie on how to play this game? If Tucker and Eddie follow your advice, what payoff should each expect? Show your work.arrow_forward
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- The study of how people make decisions in situations where attaining their goals depends on their interactions with others is called A. game theory. B. Nash equilibrium. C. the prisoners' dilemma. D. dominant strategy equilibrium.arrow_forwardWhat is the Nash Equilibrium in a game? A. A situation where all players cooperate for maximum gain B. A situation where no player can improve their outcome by changing their strategy unilaterally C. A situation where players always choose the same strategy D. A situation where players randomly select strategiesarrow_forwardConsider the following game where two players have to decide if they want to buy a movie ticket or a baseball ticket. They have the highest payoffs when they both buy tickets to the same activity, but must decide simultaneously what to buy without knowing what the other person will do. a. Does either player have a dominant strategy? b. How many equilibria does this game have? c. Is this an example of a prisoner’s dilemma? Explain. d. What will be the outcome if your friend buys their ticket first and you can observe their choice?arrow_forward
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