Principles of Microeconomics
7th Edition
ISBN: 9781305156050
Author: N. Gregory Mankiw
Publisher: Cengage Learning
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Question
Chapter 17, Problem 5CQQ
To determine
Relevance of Prisoner’s dilemma.
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Answer all the questions, show all the working.
Consider the following game in normal form.
Not cooperate
Cooperate
Not cooperate
20,20
50,0
Cooperate
0,50
40,40
What is Nash equilibrium? Is it efficient? Why?
What needs to be complied with so that the players would like to cooperate? What happens when one of the players does not cooperate? Why? Define trigger strategy.
Calculate the discount factor (δ) that would make both players decide to cooperate.
Identify a real-world situation in which you see game theory/strategic behavior in action.
Explain the game: Who are the players ? What are the strategies they have at their disposal? How are payoffs determined? What, if any, is the Nash equilibrium?
Note, this article from Up Journey might help you come up with an example: https://upjourney.com/game-theory-examples-in-real-life
.
In a gambling game, Player A and Player B both have a $1 and a $5 bill. Each player selects one of the bills without the other player knowing the bill selected. Simultaneously they both reveal the bills selected. If the bills do not match, Player A wins Player B's bill. If the bills match, Player B wins Player A's bill.
a. Develop the game theory table for this game. The values should be expressed as the gains (or losses) for Player A.
b. Is there a pure strategy? Why or why not?
c. Determine the optimal strategies and the value of this game. Does the game favor one player over the other?
d. Suppose Player B decides to deviate from the optimal strategy and begins playing each bill 50% of the time. What should Player A do to improve Player A’s winnings? Comment on why it is important to follow an optimal game theory strategy.
Chapter 17 Solutions
Principles of Microeconomics
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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- Consider a game where each player picks a number from 0 to 60. The guess that is closest to half of the average of the chosen numbers wins a prize. If several people are equally close, then they share the prize. The game theory implies that (A) all players have dominant strategies to choose 0 (B) all players have dominant strategies to choose 30 (C) there is a Nash equilibrium where all players pick 0 (D) there is a Nash equilibrium where all players pick positive numbers Behavioral data in such games suggests that (A) most subjects choose 0; (B) most subjects choose 30;(C) common answers include 30, 15, 7.5, and 0; (D) most subjects use randomization.arrow_forwardQuestion 2 This is game theory. (c,c), (c,d), (d,c) are efficient, why? Definition:An outcome is Pareto efficient if there is no other outcome that increases at least one player's payoff without decreasing anyone else's Full explain this question and text typing work only We should answer our question within 2 hours takes more time then we will reduce Rating Dont ignore this linearrow_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_forward
- 7. “I will be the teacher, you be the student, okay?” Mabel asks her brother, Dipper. After playing for a while, Dipper becomes bored and starts making siren noises. Mabel tells him, “No! You aren’t supposed to be a fireman! You’re a student and I’m the teacher!” Considering Mead’s emergence of the self, what stage is Mabel likely in?* A. Preparatory Stage B. Play Stage C. Egocentric Stage D. Game Stage 8. Zero initially planned to go to Tagaytay tomorrow. However, he decided to postpone it since the weather today was a bit unstable and he thought it might just rain and may not enjoy his short break. This best illustrates which concept of Bandura?* A. Forethought B. Intentionality C. Self-reactiveness D. Self-reflectionarrow_forwardPrisoner's dilemma refers to Question 34Select one: a. how cooperation beween players leads to everyone losing. b. how cooperation can be difficult to maintain, even when all players would win. c. how consumers can maximize their surplus d. how self-interest generates higher profits.arrow_forwardImagine that two firms in two different countries want to bring a new product tomarket. Due to economies of scale, if both firms do this, they will both lose £50million. But if only one firm does this, it will gain £300 million.(a) What is the best strategy for firm A, if firm B has not yet entered the market, andwhy?(b) Illustrate this with a game theory diagram, showing appropriate payouts.(c) What is the welfare-maximising strategy for a government, and why?arrow_forward
- 1. A game may have more than one Nash equilibrium. T/F ? 2. A game has always at least one pure strategy Nash equilibrium. T/F? 3. A situation where everyone is playing a dominant strategy must be a Nash equilibrium. T/F?arrow_forwardImagine that two firms in two different countries want to bring a new product to market. Due to economies of scale, if both firms do this, they will both lose £50 million. But if only one firm does this, it will gain £300 million. (a) What is the best strategy for firm A, if firm B has not yet entered the market, and why? (b) Illustrate this with a game theory diagram, showing appropriate payouts. (c) What is the welfare-maximising strategy for a government, and why?arrow_forward
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