Assume that you are in a oligopolistic market where there are two strong firms such as Turkcell and Vodafone, Turkish GSM providers Please design a game between these two providers. Please discuss If there is a Nash Equilibrium in your game.
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Q3) Assume that you are in a oligopolistic market where there are two strong firms such as Turkcell and Vodafone, Turkish GSM providers Please design a game between these two providers. Please discuss If there is a Nash Equilibrium in your game.
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- Consider the following game: Mercedes-Benz and Honda are the only two firms in the market for automobiles. Each firm has two strategies: produce high-grade vehicles or produce low-grade vehicles. The first entry in the bracket is the payoffs (in $billion) of Mercedes-Benz and the second entry is the payoffs of Honda. (see the image) What is the dominant strategy of Mercedes-Benz and Honda? Also, what is the Nash equilibrium of this game?Intel and AMD are the two dominant producers of microchip processors. The following matrix gives the payoffs (in millions of dollars) of the two firms for different combinations of their pricing strategies. The first number is Intel's payoff and the second AMD's. AMD Intel Low Price High Price Low Price 35, 30 30, 60 High Price 70,25 65,55 O If this game is played sequentially, the Nash equilibrium will not change irrespective of who moves first. If this one-shot game is repeated for 10 times, the Nash equilibrium is for both firms to choose High Price. O In this game, Pareto criterion leads both firms to choose High Price. This game is an example of coordination game.Quick Lesson in Game Theory A Nash Equilibrium is an outcome in which neither player is better off by changing their strategy. 2.7 Is a Dominant Strategy equilibrium also a Nash equilibrium? a) Yes b) No The Ice Cream Guys $3.99 $4.99 Chucky's Chunky CCT: $20,000 $3.99 ICG: $20,000 CCT: $60,000 ICG: $10,000 CCT: $10,000 $4.99 ICG: $60,000 CCT: $40,000 ICG: $40,000 Treats The table above is the payoff matrix for the annual profit of the only two ice-cream-truck firms operating in Beach City. They are deciding the price of an ice cream cone. 2.8 What is Chucky's dominant strategy? a) $3.99 b) $4.99 c) Not enough information 2.9 What is the dominant strategy equilibrium in this situation? a) Both charge $3.99 b) Both charge $4.99 c) CCT charges $3.99 and ICG charges $4.99 d) CCT charges $4.99 and ICG charges $3.99 2.10 Suppose these two firms engaged in collusion (which, of course, totally doesn't happen because it is against the law). Which outcome would they agree upon, if any? a) Both…
- Two firms are considering simultaneously developing a new product for a market. The costs of developing the product are $10m but there will only be revenue in the market of $40m if only one of the firms develops the product. If both firms develop the product then earnings/revenues will be competed away. a) Capture this entry game in a payoff matrix. b) What is the Nash equilibrium and why? Please provide explanation. c) Does either firm have a dominant strategy? Please provide explanation.Consider the following extensive form of the game. The outcome in the subgame perfect Nash equilibrium of this game is ( Select] It would not pay for the incumbent to produce the large quantity if its profits from producing large quantity is less than $ ( Select ] Enter (50,50) Rival Small •(100,0) Don't enter Incumbent Large - (60,0)3. The following is an interpretation of the rivalry between the United States (USA) and the Soviet Ünion (USSR) during the cold war. Each side has the choice of two strategies: Aggressive and Restrained. The payoff table is given as follows: USSR Restrained Aggressiveness Restrained 4,3 1,4 USA Aggressiveness 3,1 2,2 a) Consider this game when the two countries move simultaneously. Find all pure strategy Nash equilibria. b) Next consider three alternative ways in which the game could be played with sequential moves: (i) The USA moves first and the USSR moves second. (i) the USSR moves first and the USA moves second. (i) The USSR moves first, and the USA moves second, but the USSR has a further move after the USA moves. For each case, draw the game tree and find the subgame-perfect Nash equilibrium. c) What are the key strategic issues (commitment, credibility and so on) for the two countries. (Note: Be concise. Your answer should not exceed 300 words].
- A and B are competitors in the mobile phone industry. Both A and B have to decide whether to participate or not to participate in a Phone for the Future Trade Fair next month. The matrix payoff below shows the profits (USD million) corresponding to their actions. a) What is the Nash equilibrium of the above game? b) Is the Nash equilibrium Pareto Optima? Explain. c) Suppose B is pessimistic of A's rationality, what is B's strategy? Compare and comment on B's strategy in (a) and (c). A Participate Do not participate B Participate Do not participate 400,1000 200,200 500,500 1000,400Suppose Proctor & Gamble (PG) and Johnson & Johnson (JNJ) are simultaneously considering new advertising campaigns. Each firm may choose a high, medium or low level of advertising. a. What are each firm’s best responses to its rival’s strategies? b. Does either firm have a dominant strategy? c. What is the Nash equilibrium in this game?Consider the following extensive form of the game. The outcome in the subgame perfect Nash equilibrium of this game is [ Select one option] ["Large; Don't Enter", "Large; Enter", "Small; Don't Enter", "Small; Enter"]. It would not pay for the incumbent to produce the large quantity if its profits from producing large quantity is less than $ [ Select one option ] ["50", "60", "100", "0"].
- Suppose that Green Giant and Red Rover are two companies competing in the canned vegetable market. Each is contemplating an aggressive new ad campaign. The payoffs of each decision are listed below, where Green Giant is player 1. Green/Red Ad Campaign No Ad Campaign |Ad Campaign |1 million, 1 million zero, 3 million No Ad Campaign 3 million, zero 2 million, 2 million What is the Nash equilibrium of the game? a. (advertise, don't advertise) b. (advertise, advertise) c. (don't advertise, don't advertise) d. (don't advertise, advertise)Boeing and Airbus, change in profits ($m) from the development of a super jumbo jet. airbus airbus develop do not develop boeing develop -50, -50 -30, 80 boeing do not develop 80, -30 0, 0 a) Identify the key assumption of Game theoryb) What important lesson does game theory reveal about coordination inan oligopoly market?c) In the game above, what is the Nash equilibrium?Consider the following information for a simultaneous move game: If you advertise and your rival advertises, you each will earn £5 million in profits. If neither of you advertises, you will each earn £10 million in profits. However, if one of you advertises and the other does not, the firm that advertises will earn £15 million and the non-advertising firm will earn £1million. Answer the following questions: a)Please draw the payoff matrix for the game b)What is the outcome of this game? What payoff will each firm earn? c)What is the reasoning that you have followed in order to arrive at this outcome? d)Is this a Prisoner's Dilemma? Why or why not? e)Suppose that this game is played sequentially instead of simultaneously and that you decide first. Draw the game tree of this game. What is the equilibrium of this sequential game? How did you arrive to this conclusion?
