Answered: The prisoners' dilemma is a game in… | bartleby

Microeconomic Theory

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter8: Game Theory

Section: Chapter Questions

Problem 8.9P

See similar textbooks

Related questions

Question

The prisoners' dilemma is a game in which
the players fail to reach the best possible outcome when each player independently pursues what is in their self-interest.
one player wins and one loses when each player independently pursues what is in their self-interest.
the players jointly reach the best possible outcome when each player independently pursues is in their self-interest.
neither player wins or loses anything when each player independently pursues what is in their self-interest.

Expert Solution

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Blurred answer

Similar questions

Define the prisoner’s dilemma game. The prisoner’s dilemma game is a: two-person noncooperative sequential game that demonstrates the difficulty of cooperative behavior in certain circumstances. two-person cooperative simultaneous game that demonstrates the difficulty of cooperative behavior in certain circumstances. two-person noncooperative simultaneous game that demonstrates the difficulty of cooperative behavior in certain circumstances. two-person cooperative sequential game that demonstrates the difficulty of cooperative behavior in certain circumstances. a. What assumptions lead to the dilemma? If the prisoners confess, each would get a light sentence. But each prisoner is interrogated separately and is offered the chance to go free if he or she confesses to the crime and agrees to serve as a witness against the other prisoner. This creates the incentive for both prisoners to not confess. If the prisoners do not confess, each would get a…
There are a kicker and a goalie who confront each other in a penalty kick that willdetermine the outcome of the game. The kicker can kick the ball left or right, while the goaliecan choose to jump left or right. Because of the speed of the kick, the decisions need to bemade simultaneously. If the goalie jumps in the same direction as the kick, then the goalie winsand the kicker loses. If the goalie jumps in the opposite direction of the kick then the kickerwins and the goalie loses. Model this as a strategic form game and write down the matrix thatrepresents the game you modeled. Find the Nash equilibrium.
Suppose that two players are playing the following game. Player 1 can choose either Top or Bottom, and Player 2 can choose either Left or Right. The payoffs are given in the following table: Player 1 Player 2 Left Right Top 6 1 9 4 Bottom 2 4 5 3 where the number on the left is the payoff to Player 1, and the number on the right is the payoff to Player 2. D) What is Player 1’s maximin strategy?E) What is Player 2’s maximin strategy?F) If the game were played with Player 1 moving first and Player 2 moving second, using the backward induction method we went over in class, what strategy will each player choose?
Alice and Betsy are playing a game in which each can play either of two strategies, leave or stay. If both play the strategy leave, then each gets a payoff of $400. If both play the strategy stay, then each gets a payoff of $800. If one plays stay and the other plays leave, then the one who plays stay gets a payoff of $C and the one who plays leave gets a payoff of $D. When is the outcome where both play leave a Nash equilibrium? a) never, since 800 > 400 b) when 400 > C and D > 800 but not when 800 > D c) whenever 400 > C d) when D > C and C > 400 e) whenever d < 800
3.1 Do either of the two telecommunications firms have a dominant strategy in this interaction?If so, what are these dominant strategies? 3.2 What is the Nash Equilibrium of the game above? Clearly, show the logic you use to reachyour conclusion. What type of game is this? 3.3 Suppose the two firms could incentivize or punish each other, could the two firms find theirway to the socially optimum outcome? How would they do this? After observing the strategic interaction between Globogym and Average Joe’s, the governmentdecides to pass a law that states that the two terms must pre-commit to the quantities of trainingsessions they will supply to the American market.Market demand for training sessions is still modeled as ? = 400 − 0.2?, as before, and the marginalcost of production is constant at R40 per call. Let the number of sessions provided by Globogym berepresented by ?G and the quantity provided by Average Joe’s be represented by ?A. 3.4 Solve the firms’ reaction functions and…
12.3 Armed Conflict: Consider the following strategic situation: Two rival armies plan to seize a disputed territory. Each army's general can choose either to attack (A) or to not attack (N). In addition, each army is either strong (S) or weak (W) with equal probability, and the realizations for each army are independent. Furthermore the type of each army is known only to that army's general. An army can capture the territory if either (i) it attacks and its rival does not or (ii) it and its rival attack, but it is strong and the rival is weak. If both attack and are of equal strength then neither captures the territory. As for payoffs, the territory is worth m if captured and each army has a cost of fighting equal to s if it is strong and w if it is weak, where s <w. If an army attacks but its rival does not, no costs are borne by either side. Identify all 12.7 Exercises • 267 the pure-strategy Bayesian Nash equilibria of this game for the following two cases, and briefly describe…
Consider the strategic voting game discussed at the endof this chapter, where we saw that the strategy profile (Bustamante, Schwarzenegger,Schwarzenegger) is a Nash equilibrium of the game. Show that (Bustamante, Schwarzeneg-ger, Schwarzenegger) is, in fact , the only rationalizable strategy profile. Do this by firstconsidering the dominated strategies of player L. (Basically, the question is asking youto find the outcome of the iterative elimination of strictly dominated strategies)
Prove that in the variation on the centipede game given in figure 14.5(b) the unique sequential equilibrium described is, in fact, the unique Nash equilibrium. (Hint: Take some presumed Nash equilibrium and suppose information set 2n+ 1 [for player 2] is the first unreached information set. Derive an immediate contradiction. Then suppose that node (2n) t is the first unreached information set and derive a contradiction that is one degree removed from immediate.)
12. Consider a game where each player picks a number from 0 to 60. The guess that is closest to half ofthe average of the chosen numbers wins a prize. If several peopleare equally close, then they share theprize. 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 13. 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. Can you help me answer number 13 please?
Consider the following simultaneous move game: a. What is the maximum amount player 1 should be willing to pay for the opportunity to move first instead of moving at the same time as player 2? Explain carefully. b. What is the maximum amount player 2 should be willing to spend to keep player 1 from getting to move first?
Suppose a $1 bill is to be divided between two players according to a simultaneous-move, one-shot bargaining game. Is there a Nash equilibrium to the bargaining game if the smallest unit in which the money can be divided is $0.01? Assume that if the players ask for more in total than is available, they go home empty-handed.
Let us see the example of Juan and María given but modify their preferences. It is still the case that they are competitive and are deciding whether to show up at their mom’s house at 8:00 A.M., 9:00 A.M., 10:00 A.M., or 11:00 A.M. But now they don’t mind waking up early. Assume that the payoff is 1 if he or she shows up before the other sibling, it is 0 if he or she shows up after the other sibling, and it is 1 if they show up at the same time. The time of the morning does not matter. Find all Nash equilibria.

SEE MORE QUESTIONS

Recommended textbooks for you

Microeconomic Theory

Microeconomic Theory

Economics

ISBN:

9781337517942

Author:

NICHOLSON

Publisher:

Cengage

Principles of Economics (MindTap Course List)

Principles of Economics (MindTap Course List)

Economics

ISBN:

9781305585126

Author:

N. Gregory Mankiw

Publisher:

Cengage Learning

Principles of Economics, 7th Edition (MindTap Cou…

Principles of Economics, 7th Edition (MindTap Cou…

Economics

ISBN:

9781285165875

Author:

N. Gregory Mankiw

Publisher:

Cengage Learning

Microeconomic Theory

Microeconomic Theory

Economics

ISBN:

9781337517942

Author:

NICHOLSON

Publisher:

Cengage

Principles of Economics (MindTap Course List)

Principles of Economics (MindTap Course List)

Economics

ISBN:

9781305585126

Author:

N. Gregory Mankiw

Publisher:

Cengage Learning

Principles of Economics, 7th Edition (MindTap Cou…

Principles of Economics, 7th Edition (MindTap Cou…

Economics

ISBN:

9781285165875

Author:

N. Gregory Mankiw

Publisher:

Cengage Learning

Principles of Microeconomics (MindTap Course List)

Principles of Microeconomics (MindTap Course List)

Economics

ISBN:

9781305971493

Author:

N. Gregory Mankiw

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS