In a game of chicken, two drivers are heading towards each other on a collision course. The first one to swerve is considered the "chicken" and loses. What is the Nash equilibrium in this game? a) Both drivers swerve b) Neither driver swerves c) One driver swerves while the other doesn't d) It depends on the specific

In a game of chicken, two drivers are heading towards each other on a collision course. The first one to swerve is considered the "chicken" and loses. What is the Nash equilibrium in this game? a) Both drivers swerve b) Neither driver swerves c) One driver swerves while the other doesn't d) It depends on the specific

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Felix and Jocelyn are arrested and charged with armed robbery. The police interview both suspects separately about their involvement in the crime. Each suspect has to make a decision. They can betray the other suspect by confessing that they both committed the crime, or they can cooperate with the other suspect by remaining silent. The table shows the sentences that Felix and Jocelyn will receive given their choices. Use the table to answer the question. What will be the dominant strategy outcome for Felix and Jocelyn? They both get 12 years. O They both get 10 years. Felix gets 5 years, and Jocelyn gets 15 years. Jocelyn gets 5 years, and Felix gets 15 years. Felix Stay silent Confess Stay silent Jocelyn gets 10 years Felix gets 10 years Jocelyn Jocelyn gets 15 years Felix gets 5 years Confess Jocelyn gets 5 years Felix gets 15 years Jocelyn gets 12 years Felix gets 12 years
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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.
Consider the following game: Payoff Matrix Player B L M R U 10, 11 8, 13 7, 12 Player A C 14, 12 9,9 5, 7 D 12, 5 10, 6 8,8 Select the Nash equilibrium/equilibria of this game
Three politicians are voting on whether to allow themselves a salary increase of$3,500per a year. If they vote in favor of a raise, then they lose some public support, costing them each$1,500 per year. The salary increase passes if two or more politicians vote in favor of it. What is this game’s Nash equilibrium (or equilibria)? Explain. There is no need to draw a payoff matrix.
Consider a beauty-contest game in which n players simultaneously pick a number between zero and 100 inclusive; the person whose number is closer to half of the average number wins a prize. What is the unique Nash equilibrium of this game? What number will a level-3 thinker pick?
Cameron and Luke are playing a game called ”Race to 10”. Cameron goes first, and the players take turns choosing either 1 or 2. In each turn, they add the new number to a running total. The player who brings the total to exactly 10 wins the game. a) If both Cameron and Luke play optimally, who will win the game? Does the game have a first-mover advantage or a second-mover advantage? b) Suppose the game is modified to ”Race to 11” (i.e, the player who reaches 11 first wins). Who will win the game if both players play their optimal strategies? What if the game is ”Race to 12”? Does the result change? c) Consider the general version of the game called ”Race to n,” where n is a positive integer greater than 0. What are the conditions on n such that the game has a first mover advantage? What are the conditions on n such that the game has a second mover advantage?
Let's think about a traditional game theory principal agent game. In this game we have two players, Lauren and Jason Lauren will choose to invest $500 dollars with Jason If she doesn't invest the money, she keeps the $500 and Jason gets nothing If she does invest the money, then Jason has a choice-he can cooperate by investing Lauren's money and then splitting the profit of another $500. This would give Lauren $750 (her original $500 investment plus $250 of profit) and would give Jason $250. Jason's other choice is to appropriate, or to steal Lauren's money and not invest it. If he does this, Lauren ends up with nothing and Jason has the entire $500. The following diagram outlines this game. Principal Agent Game Jason (750.250) Invest appropriate 10. 500) doninve What will happen in this game? Lauren will not invest Lauren will invest and Jason will cooperate Lauren will invest and Jason will appropriate Next page
find all Nash equilibria in this game using von Neumann-Morgenstern preferences:
Hello, please help me to solve this Game Theory question. Thanks in advance! Hobby hunter Jack decides what to do the next weekend. He can either stay at home and watch movies (Movies), or call his friend Katherine to go hunting (Hunt). If he stays in, both Jack and Katherine get a payoff of 2. If he decides to hunt, he knows the situation with his friend will resemble a classic stag hunt game with simultaneous moves: Hunting a stag is better than hunting a rabbit, but it only works if they cooperate. The hunting subgame is captured as: Katherine Stag Rabbit Jack Stag 3 , 3 0 , 1 Rabbit 1 , 0 1 , 1 1. Write the normal form representation of the full game, including Jack’s initial decision.2. Identify any pure-strategy Nash equilibria. How does this compare to the pure strategy Nash equilibria of the hunting game alone?
find all Nash equilibria in this game using von Neumann-Morgenstern preferences: