Microeconomics
11th Edition
ISBN: 9781260507140
Author: David C. Colander
Publisher: McGraw Hill Education
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Question
Chapter 20, Problem 3IP
(a)
To determine
The Nash equilibrium of the payoff matrix.
(b)
To determine
The difference in the play of matrix if it is symmetric.
(c)
To determine
The reason why the players cooperate 60 times out of 100 games.
(d)
To determine
The choice of players when playing the 100th game.
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Suppose that you and a friend play a matching pennies game in which each of you
uncovers a penny. If both pennies show heads or both show tails, you keep both. If one shows
heads and the other shows tails, your friend keeps them. Show the pay- off matrix. What, if
any, is the pure-strategy Nash equilibrium to this game? Is there a mixed-strategy Nash
equilibrium? If so, what is it?
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.
Use the following payoff matrix to answer the questions below.
Cooperate
Defect
1
Cooperate
100, 100
40, 125
Defect
125, 40
50, 50
Which player (if any) has a Dominant Strategy?
[ Select ]
What is the Nash Equilibrium of this game? [ Select ]
Does this game satisfy the definition of a prisoner's dilemma? [ Select ]
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
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