Economics, Student Value Edition Plus MyLab Economics with Pearson eText -- Access Card Package (7th Edition)
7th Edition
ISBN: 9780134833392
Author: R. Glenn Hubbard, Anthony Patrick O'Brien
Publisher: PEARSON
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Question
Chapter 14, Problem 14.2.4RQ
To determine
What is a prisoner's dilemma game.
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Consider a game with two players who cannot communicate, and in which each player is asked a question. The players can answer the question honestly or lie. If both answer honestly, each receives $100. If one player answers honestly and the other lies, the liar receives $500 and the honest player gets nothing. If both lie, then each receives $50.
a) Describe the strategies and payoffs of this game
b) Construct the payoff matrix
c) Compare this game to the prisoners' dilemma. Are the two games similar or different? Briefly explain your answer.
prove that the following strategy profile is a Nash equilibrium:For any 0 < x ≤1, player 1 offers x to player 2, player 2 accepts any offer greater than orequal to x and rejects any offer smaller than x.Is this strategy profile a subgame perfect equilibrium as well? Briefly explain why.
What is game theory? Â How can firms use game theory?
Chapter 14 Solutions
Economics, Student Value Edition Plus MyLab Economics with Pearson eText -- Access Card Package (7th Edition)
Ch. 14 - Prob. 14.1.1RQCh. 14 - Prob. 14.1.2RQCh. 14 - Prob. 14.1.3RQCh. 14 - Prob. 14.1.4PACh. 14 - Prob. 14.1.5PACh. 14 - Prob. 14.1.6PACh. 14 - Prob. 14.1.7PACh. 14 - Prob. 14.1.8PACh. 14 - Prob. 14.1.9PACh. 14 - Prob. 14.1.10PA
Ch. 14 - Prob. 14.2.1RQCh. 14 - Prob. 14.2.2RQCh. 14 - Prob. 14.2.3RQCh. 14 - Prob. 14.2.4RQCh. 14 - Prob. 14.2.5PACh. 14 - Prob. 14.2.6PACh. 14 - Prob. 14.2.7PACh. 14 - Prob. 14.2.8PACh. 14 - Prob. 14.2.9PACh. 14 - Prob. 14.2.10PACh. 14 - Prob. 14.2.11PACh. 14 - Prob. 14.2.12PACh. 14 - Prob. 14.2.13PACh. 14 - Prob. 14.2.14PACh. 14 - Prob. 14.2.15PACh. 14 - Prob. 14.2.16PACh. 14 - Prob. 14.2.17PACh. 14 - Prob. 14.2.18PACh. 14 - Prob. 14.3.1RQCh. 14 - Prob. 14.3.2RQCh. 14 - Prob. 14.3.3PACh. 14 - Prob. 14.3.4PACh. 14 - Prob. 14.3.5PACh. 14 - Prob. 14.3.6PACh. 14 - Prob. 14.4.1RQCh. 14 - Prob. 14.4.2RQCh. 14 - Prob. 14.4.3PACh. 14 - Prob. 14.4.4PACh. 14 - Prob. 14.4.5PACh. 14 - Prob. 14.4.6PACh. 14 - Prob. 14.4.7PACh. 14 - Prob. 14.4.8PACh. 14 - Prob. 14.2CTECh. 14 - Prob. 14.3CTE
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Similar questions
- A case study in the chapter describes a phone conversation between the presidents of American Airlines and Braniff Airways. Let's analyze the game between the two companies. Suppose that each company can charge either a high price for tickets or a low price. If one company charges $300, it cams low profit if the other company also charges $300 and high profit if the other company charges $600. On the other hand, if the company charges $600, it cams very low profit if the other company charges $300 and medium profit if the other company also charges $600. a. Draw the decision box for this game. b. What is the Nash equilibrium in this game? Explain. c. Is there an outcome that would be better than the Nash equilibrium for both airlines? How could it be achieved? Who would lose if it were achieved?arrow_forwardA case study in the chapter describes a phoneconversation between the presidents of AmericanAirlines and Braniff Airways. Let’s analyze thegame between the two companies. Suppose thateach company can charge either a high price fortickets or a low price. If one company charges $300,it earns low profit if the other company also charges$300 and high profit if the other company charges$600. On the other hand, if the company charges $600,it earns very low profit if the other company charges$300 and medium profit if the other company alsocharges $600.a. Draw the payoff matrix for this game.b. What is the Nash equilibrium in this game?Explain.c. Is there an outcome that would be better than theNash equilibrium for both airlines? How could itbe achieved? Who would lose if it were achieved?arrow_forwardWhat is game theory? How does it relate to strategic decision making? What do the phrases dominant strategy and Nash Equilibrium mean as they apply to game theory?arrow_forward
- The following is a static game: Convert this game into dynamic form game. Find the Nash equilibrium and subgame perfect Nash equilibrium of this game. If you consider this game as dynamic then what kind of dynamic game is this.arrow_forwardWhat is the link between game theory and market structures? Which market structure is game theory more linked to?arrow_forwardHi this is from a textbook. Thank you.  Consider the following game in which Sally can play T or B and John chooses between L or R. Each player makes their choice simultaneously. If Sally chooses T and John chooses L, Sally gets a payoff of 5 and John has a payoff of 4. If Sally plays T and John R, Sally’s payoff is 8 and John gets 3. If Sally Chooses B and John L, the payoffs are 3 to Sally and 2 to John. Finally, if Sally chooses B and John R, the payoffs are 7 to Sally and 0 to John. Which statement is true?  a) The Nash equilibrium is (B,R); this is a prisoners’ dilemma b) The Nash equilibrium is (T,R); this is a prisoners’ dilemma c) The Nash equilibrium is (T,R); this is not dominant strategy equilibrium d) The Nash equilibrium is (T,L); this is a dominant strategy equilibrium e) None of the abovearrow_forward
- Use the following normal-form game to answer the following question.    Player 2  Player 1 Strategy C D  A 30,30 70,0  B 0,70 60,60  Identify the one-shot equilibrium Suppose the players know this game will be repeated three times. Can they achieve payoffs that are better than the one-shot game Nash Equilibrium? Explain. Suppose the game is infinitely repeated and the interest rate is 6%. Can the player achieve payoffs that are better than the one-shot game equilibrium? Explain.arrow_forwardUsing game theory what are some examples in where Nash equilibrium is incorporated?arrow_forwardBriefly explain the differences between the equilibrium concepts we discussed in game theory. What do we need to assume about people’s decision making to find equilibria?arrow_forward
- Burger King has introduced new strategy by reducing the price of its Whopper by 75 percent if customers also purchased french fries and a soft drink. Nevertheless, the sales dropped within two weeks. Based on your knowledge on game theory, what do you think had happened? The Edge magazine columnist, Jack Sparrow reported the recent findings of two academic political scientists. These scholars found out that voters are not happy with “negative campaigns” of politicians. However, the political scientists suggested it is pointless for candidates to stay positive. The damage from staying positive is heaviest when the opponent is attacking. Explain the dilemma.      Airlines practice price discrimination by charging leisure travelers and business travelers different prices. Why do you think by charging different prices; the airline companies will maximize their profits? Discuss briefly.arrow_forwardIn game theory, what are some conflicts (history/fiction) in which there is a nash equilibrium between 2 actors?arrow_forward
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