Which of the following best describes a dominant strategy? Question 4Answer a. The strategy that a player chooses depends on what the other player does b. The strategy that a player chooses minimizes the other player's payoff c. The strategy that a player chooses is independent of what the other player does d. The strategy that a player chooses maximizes joint payoffs for both players

Which of the following best describes a dominant strategy? Question 4Answer a. The strategy that a player chooses depends on what the other player does b. The strategy that a player chooses minimizes the other player's payoff c. The strategy that a player chooses is independent of what the other player does d. The strategy that a player chooses maximizes joint payoffs for both players

Managerial Economics: A Problem Solving Approach

5th Edition

ISBN:9781337106665

Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor

Publisher:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor

Chapter15: Strategic Games

Section: Chapter Questions

Problem 2MC

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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.
Sam and Sarah are thinking about getting married. However if either of them cheats on the other, they would get a payoff of 10, while the other person gets zero. If neither cheat, they stay with each other and get a payoff of 7 each and if both cheat, the relationship falls apart and each get a payoff of 1. What is the Nash equilibrium of this game? a. Cheat, Cheat b. Not cheat, Not cheat Sam cheats, Sarah doesn't Sarah cheats, Sam doesn't
The bimatrix represents a simultaneous move game between Rowena and Colin. Rowena's payoff is the left number in each cell. ROWENA Up Down 0.25Left +0.75Right 0.65Left +0.35Right Find Colin's mixed strategy that makes Rowena indifferent between a pure strategy of playing Up and a pure strategy of playing Down. 0.5Left +0.5Right Left 1,16 2,20 0.45Left +0.55Right COLIN Right 4,6 3,40
Which is the correct mixed strategy Nash equilibrium for the below game? A B Confess Confess (3,2) Doesn't (0,0) confess a. (2/5); (3/5) b. (1/4); (3/4) c. (1/2); (1/2) d. (1/3); (2/3) Doesn't confess (0,0) (2,3)
Consider a game where there is a dominant strategy equilibrium. You would then argue that, in equilibrium the following statement applies Question options: Each player gets the highest utility he can possibly get. Total surplus is not necessarily maximized. Total surplus is maximized. At least one of the player gets the highest payoff he can reach.
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Problem 2. Consider the game below. Player 2 C L R T (2, 1) (0, 2) (0,3) (1,1)| (1,1)|(1,0) Player 1 M B (0, 1) (2, 0) (2, 2) (a) Are there any dominant or dominated strategies? (b) Report the best responses AND find the Nash equilibrium.
Find all of the Nash equilibrium of the following three player game. Player 1 chooses rows (a,b). Player 2 chooses columns (c,d). Player 3 chooses matrices (x.y). Player 3 receives the third listed payoff for cach outcome. 5,5,5 4,4,0 8,8,3 7,7,3 1,3,1 4,2,0 3,2,4 3,1,0 a by A) (b,d.x) and (a,d.y) B) (b.cy) OC) (b,d,x) D) (a,d,x) and (b,c.y) E) (b,c,x) OF) (a,d.x)
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
Player 1 Cooperate (C) Defect (D) Cooperate (C) 3,3 8,0 Player 2 Defect (D) 0,8 1,1 In general, a combination of strategies is a Nash equilibrium if ... Every player is choosing a best response against the other players' strategies. Every player has a positive payoff. The players maximize the sum of their payoffs. The players choose identical strategies. If the game is repeated, which cooperative actions could benefit both players? O Both players choose C. Player 1 chooses C, Player 2 chooses D. O Player 1 chooses D, Player 2 chooses C. Both players choose D.
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.