Microeconomics
11th Edition
ISBN: 9781260507041
Author: Colander, David
Publisher: MCGRAW-HILL HIGHER EDUCATION
expand_more
expand_more
format_list_bulleted
Question
Chapter 20, Problem 5IP
(a)
To determine
The Nash equilibrium of an average game.
(b)
To determine
The expectation of the equilibrium to approach the Nash equilibrium, if a class plays the average game.
(c)
To determine
The difference if the equilibrium in playing the real-world game is not the Nash equilibrium.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
You have just played rock, paper, scissors with your friend. You chose scissors and he chose paper, so you won. Is this a Nash equilibrium? Explain why or why not.
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.
Nash equilibrium refers to the optimal outcome of a game where there is no incentive for the players to deviate from their initial strategy. An individual (or player) can receive no incremental benefit from changing actions, assuming other players remain constant in their strategies. Given this premise, can there be a no Nash equilibrium?
Chapter 20 Solutions
Microeconomics
Ch. 20.1 - Prob. 1QCh. 20.1 - Prob. 2QCh. 20.1 - Prob. 3QCh. 20.1 - Prob. 4QCh. 20.1 - Prob. 5QCh. 20.1 - Prob. 6QCh. 20.1 - Prob. 7QCh. 20.1 - Prob. 8QCh. 20.1 - Prob. 9QCh. 20.1 - Prob. 10Q
Ch. 20.A - Netflix and Hulu each expects profit to rise by...Ch. 20.A - Prob. 2QECh. 20 - Prob. 1QECh. 20 - Prob. 2QECh. 20 - Prob. 3QECh. 20 - Prob. 4QECh. 20 - Prob. 5QECh. 20 - Prob. 6QECh. 20 - Prob. 7QECh. 20 - Prob. 8QECh. 20 - Prob. 9QECh. 20 - Prob. 10QECh. 20 - Prob. 11QECh. 20 - Prob. 12QECh. 20 - Prob. 13QECh. 20 - Prob. 14QECh. 20 - Prob. 15QECh. 20 - Prob. 16QECh. 20 - Prob. 1QAPCh. 20 - Prob. 2QAPCh. 20 - Prob. 3QAPCh. 20 - Prob. 4QAPCh. 20 - Prob. 5QAPCh. 20 - Prob. 6QAPCh. 20 - Prob. 1IPCh. 20 - Prob. 2IPCh. 20 - Prob. 3IPCh. 20 - Prob. 4IPCh. 20 - Prob. 5IPCh. 20 - Prob. 6IPCh. 20 - Prob. 7IP
Knowledge Booster
Similar questions
- Q2. The Prisoners' Dilemma: Jill Confess Remain Silent Confess Bob: 8 years Jill: 8 years Bob: Free Jill: 20 years Bob Remain Silent Bob: 20 years Jill: Free Bob: 1 year Jill: 1 year 2A: Find Nash equilibrium? 28. Is the Nash equilibrium best outcome for them? 2C. If your answer of Q2 is 'No', then why they choose an outcome which is not best for them.arrow_forwardUse the following payoff matrix for a one-shot game to answer the accompanying questions. A 5,5 0, -200 B -200, 0 20, 20 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. 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?arrow_forwardPlayer 2 Left P1: $40 Player 1 Up P2: $0 P1: $44 Down P2:$44 In the game shown above, list all of the EFFICIENT Nash Equilibrium (please check ALL that apply) (up, left) (up, right) (down, left) (down, right) No efficient Nash Equilibrium Right P1:$1 P2: $1 P1: $0 P2: $40arrow_forward
- Review Chapter 15, Table 15.4, Prisoner Dilemma. Suppose the game starts with both Jesse and Frank planning to “Stay Mum” in the lower right cell. Discuss how each player would evaluate the situation and decide whether to change decisions. If each player makes decisions to minimize the penalty, in which cell will this game end? Is there a Nash equilibrium?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_forwardExercise 3.12. Three players, Avinash, Brian and John, play the following game. Two cards, one red and the other black, are shuffled well and put face down on the table. Brian picks the top card, looks at it without showing it to the other players GAME THEORY - Giacomo Bonanno 124 (Avinash and John) and puts it back face down. Then Brian whispers either "Black" or "Red" in Avinash's ear, making sure that John doesn't hear. Avinash then tells John either "Black" or "Red". Finally John announces either "Black" or "Red" and this exciting game ends. The payoffs are as follows: if John's final announcement matches the true color of the card Brian looked at, then Brian and Avinash give $2 each to John. In every other case John gives $2 each to Brian and Avinash. (a) Represent this situation as an extensive-form game. (b) Write the corresponding strategic form (or normal form) assuming that the players are selfish, greedy and risk neutral.arrow_forward
- Problem #4: Bayesian Nash Equilibrium Consider the following game, which has two states of nature shown in the two game tables below: "Harmful" (p = 1/3) "Helpful" (1-p = 2/3) Player 2 X Y 3, 2 Player 2 Y 2, 3 3, 2 1,0 0,1 A 0,1 3,2 A Player 1 Player 1 В 0,1 B a) Assume that Player 1 knows what the true state of nature is when playing this game, but Player 2 does not. Find all of the game's Bayesian Nash equilibria. (Hint: It may help to arrange the game tables appropriately.) b) Now, assume that Player 2 knows the true state of nature, but Player 1 does not. Find all of the game's Bayesian Nash equilibria.arrow_forward9. In the game played in the class, "Guess 2/3 of the average", assume there are 3 students, each guesses a number between 0 and 100 (including 0 and 100) simultaneously. The winner will be the one whose number is closest to 2/3 of the average. Which of the following is a Nash Equilibrium for this game? A. Everyone guesses "0" B. Everyone guesses "100" C. One student guesses "0", one guesses "100" and one guesses "50" D. One student guesses "0", one guesses "0" and one guesses "100" E. None of the abovearrow_forwardPlease answer clearly through 1. i to iv.arrow_forward
- Roger 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_forwardChris Evans Party Don't Party Paparazzo Stalk 3,4 1,1 Don't Stalk 4,2 1,2 Suppose a sequential game in which Paparazzo moves first. What is the subgame perfect Nash equilibrium? (Stalk; Party if Paparazzo chooses Stalk, and Party if Paparazzo chooses Don't Stalk). (Stalk; Party if Paparazzo chooses Stalk, and Don't Party if Paparazzo chooses Don't Stalk). O (Don't Stalk; Party if Paparazzo chooses Stalk, and Party if Paparazzo chooses Don't Stalk). (Don't Stalk; Party if Paparazzo chooses Stalk, and Don't Party if Paparazzo chooses Don't Stalk).arrow_forwardConsider the following extensive form game: Find the Nash equilibrium Find subgame perfect Nash Equilibrium Explain why all Nash equilibriums are not subgame perfectarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Principles of Economics (12th Edition)EconomicsISBN:9780134078779Author:Karl E. Case, Ray C. Fair, Sharon E. OsterPublisher:PEARSONEngineering Economy (17th Edition)EconomicsISBN:9780134870069Author:William G. Sullivan, Elin M. Wicks, C. Patrick KoellingPublisher:PEARSON
- Principles of Economics (MindTap Course List)EconomicsISBN:9781305585126Author:N. Gregory MankiwPublisher:Cengage LearningManagerial Economics: A Problem Solving ApproachEconomicsISBN:9781337106665Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike ShorPublisher:Cengage LearningManagerial Economics & Business Strategy (Mcgraw-...EconomicsISBN:9781259290619Author:Michael Baye, Jeff PrincePublisher:McGraw-Hill Education
Principles of Economics (12th Edition)
Economics
ISBN:9780134078779
Author:Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:PEARSON
Engineering Economy (17th Edition)
Economics
ISBN:9780134870069
Author:William G. Sullivan, Elin M. Wicks, C. Patrick Koelling
Publisher:PEARSON
Principles of Economics (MindTap Course List)
Economics
ISBN:9781305585126
Author:N. Gregory Mankiw
Publisher:Cengage Learning
Managerial Economics: A Problem Solving Approach
Economics
ISBN:9781337106665
Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:Cengage Learning
Managerial Economics & Business Strategy (Mcgraw-...
Economics
ISBN:9781259290619
Author:Michael Baye, Jeff Prince
Publisher:McGraw-Hill Education