1) Define Cartel and give an example.2) Thelma and Louise are being charged for a murder/robbery. They areseparated by police and interrogated. They are given the choice to confess ornot to confess. The payoff matrix below identifies the years that they will eachspend in jail, for the various outcomes.LouiseConfessDon't ConfessConfess10,1015,2ThelmaDon't Confess2,153,3a. Identify the Dominant Strategy for either player, or state that there isn't one.Remember, a "Strategy" is the players move. In this example, state "Confess" or"Don't Confess" for each player, not the payoff.b. Identify the Nash Equilibrium.

The oligopoly refers to the market where few dominant firms dominate the market. The competition is…

1) Define Cartel and give an example. 2) Thelma and Louise are being charged for a murder/robbery. They are separated by police and interrogated. They are given the choice to confess or not to confess. The payoff matrix below identifies the years that they will each spend in jail, for the various outcomes. Thelma

1) Define Cartel and give an example. 2) Thelma and Louise are being charged for a murder/robbery. They are separated by police and interrogated. They are given the choice to confess or not to confess. The payoff matrix below identifies the years that they will each spend in jail, for the various outcomes. Thelma

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter8: Game Theory

Section: Chapter Questions

Problem 8.9P

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1) Define Cartel and give an example. 2) Thelma and Louise are being charged for a murder/robbery. They are separated by police and interrogated. They are given the choice to confess or not to confess. The payoff matrix below identifies the years that they will each spend in jail, for the various outcomes. Louise Confess Don't Confess Confess (2 10,10 15.2 Thelma Don't Confess 2,15 3,3 a. Identify the Dominant Strategy for either player, or state that there isn't one. Remember, a "Strategy" is the players move. In this example, state "Confess" or "Don't Confess" for each player, not the payoff. b. Identify the Nash Equilibrium.
The payoff matrix represents hypothetical profits that could be earned by two milk sellers who have formed a cartel. Each seller must decide whether or not to cheat on the production quotas in the cartel agreement. Use the payoff matrix to answer the questions. Heifer's Gold Cheat Do not cheat Cheat A Milky Moos $148,000 $148,000 $200,000 $140,000 Do not cheat B a. Does either member have an incentive to cheat? $200,000 D $140,000 $150,000 Milky Moos will cheat, but Heifer's Gold will not. No, neither has an incentive to cheat. Heifer's Gold will cheat, but Milky Moos will not. Yes, both will cheat. $150,000 b. How does cheating impact the other cartel member? O Cheating hurts the member who does not cheat by decreasing its profits. Cheating does not impact the other member. Cheating helps the other cartel member by increasing its profits.
5. The following problem was first considered by John von Neumann and is a fundamentalresult game theory.A and B play the following game:A writes down either number 1 or number 2, and B must guess which one.If the number that A has written down is i and B has guessed correctly, B receives i units from A.If B makes a wrong guess, B pays 4/5 of a unit to A.First we consider the expected gain of player B.Suppose B guesses 1 with probability p and 2 with probability 1 −p.Let X1 denote B’s gain (or loss) in a game where A has written down 1.Let X2 denote B’s gain (or loss) in a game where A has written down 2.(a) Find the pmf of X1 and X2(b) Find B’s expected gain for these two cases, E[X1] and E[X2].(c) What value of p maximizes the minimum possible value of B’s expected gain?Now consider the expected loss of player ASuppose that A writes down 1 with probability q and 2 with probability 1 −q.Let Y1 be A’s loss (or gain) if B chooses number 1.Let Y2 be A’s loss (or gain) if B…
Does each individual in a prisoners dilemma benefit more from cooperation or from pursuing self-interest? Explain briefly.
ABC Inc. Offer Rebate No Rebate XYZ Corp offer Rebate 20.10 30,0 No Rebate 12, 16. 20, 4 In the game above, in the equilibrium strategies: Lutfen birini seçin O A are for XYZ to offer a rebate, and ABC not to offer a rebate. O B are for ABC to offer a rebate, and XYZ not to offer a rebate. O C are for both firms to effer no rebate OD are for both firms to offer rebates
3 0: she makes a pront of $9 An is ISK AVCise and aunty she makes. Let P be the probability that it rains the day of the concert. Find the number P tha makes Ann indifferent between organizing the concert in the Club or at the Park. 8. Compute the mixed strategy Nash equilibrium of the game below: Bungle F2 # Zippy E Left Right DOD F4 Up 2,-1 R I 20 F3 $ BAG 3 4 -2,0 HOT % 5 F5 Down 3,1 T 4,-2 VO MacBook Air 6 F6 Y & 7 F7 * U 8
Two Owners s Are Trying to Decide Where to Put Their Businesses. They have choices of Uptown and Downtown. In this case, one restaurant is a bowling alley and the other is a restaurant and they actually want to locate close to each other as they think this will attract more customers. Here is the payoff matrix: Restaurant Uptown Blank #1: Blank #2: Downtown 0 Uptown Bowling Alley 1 1 2 Downtown 0 2 How many Nash equilbria are there? 1,2,3 or 4 There is an option to let the Bowling Alley move first, but no option for the Restaurant to move first. Should the Restaurant let the Bowling Alley move first.. Yes or No Question 10 options:
2.19. Standard setting. Suppose Apple and Samsung are in the process of negotiating a common standard for a new 3D camera tech- nology they plan to introduce in the next generation of smartphones. Apple has a preference for standard A, whereas Samsung has a pref- erence for standard S. However, both recognize that multiple stan- dards are a worse outcome for all. Specifically, Apple gets 240 if it selects A and Samsung does so too, but only 20 if Samsung does not adopt A. If Apple adopts standard S and Samsung does so too, then Apple gets a payoff of 190. If, however, Samsung chooses A then Ap- ple gets zero. For Samsung, the situation looks similar: If Samsung chooses standard S and Apple does the same then Samsung gets 210, but if Apple chooses A the Samsung's payoff is only 30. If Samsung opts for standard A and Apple does so too then Samsung gets a pay- off of 110, whereas if Apple chooses standard S then Samsung gets a payoff of zero. (a) Suppose that both Apple and Samsung…
Bonnie and Clyde have been accused of committing a crime. The police have given each an opportunity to confess to the crime. Bonnie and Clyde are put in separate rooms, and each must decide whether to confess or not without knowing the other's choice. Corresponding prison terms for each outcome are represented in the payoff matrix to the right. Predict the outcome of the game. O A. Bonnie will not confess and Clyde will confess. Clyde Not confess Confess O B. Bonnie will confess and Clyde will not confess. Bonnie O C. Bonnie and Clyde will both confess. 3 years 1 year O D. Neither Bonnie nor Clyde will confess. Not confess 3 years 8 years 8 years 6 years Confess 1 year 6 years
mall Dynaco Jains Pynaco gains 4. Synergy and Dynaco are the only two firms in a specific high - tech industry. They face the following payoff matrix as they determine the size of their research budget: Synergy's Deeision Small Bodget Lange Budget Synergy gain $420M Symedgy Dynaco ins Large budget Dynaro gains $30M Synergy Small Dynaco Jains Budget Jains zero Dynae's 2ero gains $70m Synergy Pynaco gains gains #50M Decision a. Does Synergy have a dominant strategy? Explain. b. Does Dynaco have a dominant strategy? Explain. c. Is there a Nash equilibrium for this scenario? Explain. (Hint: Look closely at the definition of Nash equilibrium.)
Bernie and Leona were arrested for money laundering and were interrogated separately by the phone. Bernie and Leona were each presented with the following independent offers. If one confesses and the other doesn’t, then who confesses goes free and the other will receive a 20-year prison sentence; if both confess, each receives a 10-year prison sentence; and if neither confesses, each will only receive a 2-year prison sentence.a. Use the above information to construct a payoff matrix for Bernie and Leonab. Does either Bernie or Leona have a dominant strategy? Why or why not?c. Does a Nash equilibrium exist? Why or why not?
The next 3 questions involve the following game. There are two players, a husband and wife. They can either be selfish (S) or selfless (U) in their marriage. If they choose to be selfish, then there is a negative ʻguilt’ payoff of g. The payoff matrix is below. Figure 1: The Marriage Game Wife S U S 10-g, 10-g 15-g, 2 U 2, 15-g 12, 12 Number left (right) of comma refers to H's (W's) payoff. 23. Suppose that g = 0. What is the Nash equilibrium (or equilibria)? (A) (S, S). (B) (U, S) and (S, U). (C) (S, S) and (U, U) (D) (U, U). 24. Suppose that g= 5. What is the Nash equilibrium (or equilibria)? (A) (S, S). (B) (U, S) and (S, U). (C) (S, S) and (U, U) (D) (U, U). 25. Suppose that g = 10. What is the Nash equilibrium (or equilibria)? (A) (S, S). (B) (U, S) and (S, U). (C) (S, S) and (U, U) (D) (U, U). Husband