Macroeconomics
13th Edition
ISBN: 9780134735696
Author: PARKIN, Michael
Publisher: Pearson,
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Question
Chapter 15, Problem 4SPA
(a)
To determine
Identify the strategies and payoffs of the game.
(b)
To determine
Identify the payoff matrix.
(c)
To determine
Identify the equilibrium point of this game.
(d)
To determine
Identify the game in terms of prisoners’ dilemma.
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Three married couples in the state of Maryland—Bob and Carol, Ted and Alice, and Ross and Mike (remember, same-sex marriage is legal in the state of Maryland)—are thinking about renting a boat to go sailing on the Chesapeake Bay. The cost of a boat rental is $600. Each of the three couples puts some amount of money in an envelope. Thus, each player in this game is a couple. If the total amount collected is at least $600, then the boat is rented. If the amount collected is more than $600, then the money left over after renting the boat is spent on wine. If the total amount collected is less than $600, then they do not rent the boat, and the money is spent on a dinner. Assume the benefit to a couple from the boat trip is 400, the benefit from each dollar spent on wine is 50 cents, the benefit from each dollar spent on dinner is 40 cents, and the personal cost of the contribution to a couple equals the amount of contribution. For example, if the boat is rented, $50 of wine is purchased…
Use the following payoff matrix to answer the following questions Suppose this is a one-shot game: a. Determine the dominant strategy for each player. If such strategies do not exist, explain why not. b. Determine the secure strategy for each player. If such strategies do not exist, explain why not. c. Determine the Nash equilibrium of this game. If such an equilibrium does not exist, explain why not.
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.
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Chapter 15 Solutions
Macroeconomics
Ch. 15.1 - Prob. 1RQCh. 15.1 - Prob. 2RQCh. 15.1 - Prob. 3RQCh. 15.1 - Prob. 4RQCh. 15.2 - Prob. 1RQCh. 15.2 - Prob. 2RQCh. 15.2 - Prob. 3RQCh. 15.2 - Prob. 4RQCh. 15.2 - Prob. 5RQCh. 15.2 - Prob. 6RQ
Ch. 15.3 - Prob. 1RQCh. 15.3 - Prob. 2RQCh. 15.4 - Prob. 1RQCh. 15.4 - Prob. 2RQCh. 15.4 - Prob. 3RQCh. 15.4 - Prob. 4RQCh. 15.4 - Prob. 5RQCh. 15 - Prob. 1SPACh. 15 - Prob. 2SPACh. 15 - Prob. 3SPACh. 15 - Prob. 4SPACh. 15 - Prob. 5SPACh. 15 - Prob. 6SPACh. 15 - Prob. 7SPACh. 15 - Prob. 8SPACh. 15 - Prob. 9APACh. 15 - Prob. 10APACh. 15 - Prob. 11APACh. 15 - Prob. 12APACh. 15 - Prob. 13APACh. 15 - Prob. 14APACh. 15 - Prob. 15APACh. 15 - Prob. 16APACh. 15 - Prob. 17APACh. 15 - Prob. 18APACh. 15 - Prob. 19APACh. 15 - Prob. 20APACh. 15 - Prob. 21APACh. 15 - Prob. 22APACh. 15 - Prob. 23APA
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