2. Duopolists are violating labor laws and getting away with it. The firms can self-report their violations (S) or not (N). Self-reporting guarantees the firm a slap on the wrist and gets the other firm in deeper trouble if they haven't self-reported. Payoffs are given in matrix form: PI P2 S S 5, 5 N 5, -5 N -5, 5 10, 10 Find the (pure strategy) NE of this game: a. (S, S) and (N,N} b. (S, S) c. {N, N} d. None of the above
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- Consider following payoff matrix for two firms Firm 1 Firm 2 High Price Low Price High Price O HP O LP OLPHP 50,60 75,25 If Firm 1 follows a maximin strategy, it would choose Low Price 22,90 20,18UofC Aggressive Restrained Aggressive 18, 26 29,47 MRU Restrained 45, 59 32, 23 Consider the case of a Sequential-Move game. Uofc moves First Part 1. Is UofC 's sub-game Perfect Nash Equilibrium strategy Aggressive or Restrained? (Answer 1 for aggressive and 2 for Restrained) 1 Part 2. Is MRU's sub-game Perfect Nash Equilibrium strategy Aggressive or Restrained? (Answer 1 for aggressive and 2 for Restrained) Number: Part 3. How much profit does UofC make under the Sub-game perfect Nash-Equilibrium? Number Part 4. How much profit does MRU make under the Sub-game perfect Nash-Equilibrium? NumberThe payoff matrix below is for two firms, A and B, deciding the quantity of their output levels. What is the dominant strategy of each firm? icrosc Firm B Strategy High output Low output High output 100, 80 0, 125 Firm A Low output 65, 0 40, 65 Both firms produce low levels of output. DO cGill Both firms produce high levels of output. Temp Firm A's dominant strategy is to produce low levels of output, but Firm B does not have a dominant strategy. Order Article O Firm B's dominant strategy is to produce low levels of output, but Firm A does not have a dominant strategy. Neither firm has a dominant strategy. oy 00 halysis
- fnan421 - Word Teri Gozden Geçir Görünum Yardım Ne yapmak istediğinizi soyleyin 2) Two firms, X and Y, are planning to market their new products. Each firm can develop TV, Laptop. Market research indicates that the resulting profits to each firm for the alternative strategies are given by the following payoff matrixi FIRM Y TV LAPTOP PHONE FIRM X TV 30, 30 50, 35 20, 50 LAPTOP 40,70 20, 20 50,80 PHONE 50,20 80,50 10,10 A) What will be the equilibrium if Firm X makes its selection first? If Firm Y goes first? ; (Ctrl) -Pay-offs (in terms of profit) for the two firms are give Firm2 startegies Firm1 Strategies C B W C [4, 4] [0, 5] [-1, 5] [5, 0] [2, 2] [-1, 1] W [5, -1] [1, -1] [0, 0] a)What is a dominant strategy for each player? b)What are the possible pure strategy Nash equilibrium/equilibria to the one-shot play of this game? c) Explain the likely out the gameSave Answer Consider two cigarette companies, PM Inc. and Brown Inc. If neither company advertises, the two companies spit the market and earn $60 million each. If they both advertise, they again split the market, but profits are lower by $20 million since each company must bear the cost of advertisirlg. Yet if one company advertises while the other does not, the one that advertises attracts customers from the other. In this case, the company that advertises earns $70 million while the company that does not advertise earns only $30 million. What will these two companies do if they behave as individual profit maximizers? Neither company will advertise, and PM Inc. earns $60. One company will advertise, the other will not. Brown Inc. earns $70. Both companies will advertise, and PM Inc. earns $40. Both companies will advertise, and PM Inc. earns $60.
- 3) Suppose the profits for two firms is given below in the payoff matrix based on whether they offer their product at a low price, a medium price, or a high price. Kringle's Krunchees (2nd #) Med Low High Nick's Noshes (1st #) Low 100,150 120, 100 140, 80 Med 80, 200 140, 180 200, 160 High 50, 220 70, 200 160, 240 a) Does either firm have a dominant strategy? If so, what is it? b) What is the simultaneous game Nash Equilibrium? c) What would be the payout for Nick if he were to move first? d) What would be the payout for Kringle if he were to move first? e) Is there an agreement that you could suggest that would make both better off? Remember to look to see whether both would enter and abide by the agreement!fnan421 Word Gozden Geçir Górunum Vard m e vaomak sted nz sOv eyin 1) Two firms, X and Y, are planning to market their new products. Each firm can develop either TV or Laptop. Market research indicates that the resulting profits to each firm for the alternative strategies are given by the following payoff matrix: FIRM Y TV LAPTOP FIRM X TV 30, 30 20, 35 LAPTOP 40,70 20, 20 A) What is the cooperative outcome? B) Which firm benefits most from the cooperative outcome? How much would that firm need to offer the other?Belge1 - Word eri Gözden Geçir Görünüm Yardım Ne yapmak istediğinizi söyleyin 1) Two firms, X and Y, are planning to market their new products. Each firm can develop TV, Laptop. Market research indicates that the resulting profits to each firm for the alternative strategies are given by the following payoff matrix ! FIRM Y TV LAPTOP PHONE FIRM X TV 30, 30 60. 35 20, 50 LAPTOP 40,70 20, 20 50,80 PHONE 50,20 80,50 10,10 A) Find the Nash equilibria for this game, assuming that both firms make their decisions at the same time. (explain the decision step by step); B) If each firm is risk averse and uses a maximin strategy, what will be the resulting equilibrium? (explain the decision step by step); C) What will be the equilibrium if Firm X makes its selection first? If Firm Y goes first?:
- fnan421 WWord Gozden Geç r Gorunum Varc m Ne yaomak steci gnz soy evn 1) Two firms, X and Y, are planning to market their new products. Each firm can develop either TV or Laptop. Market research indicates that the resulting profits to each firm for the alternative strategies are given by the following payoff matrix: FIRM Y TV LAPTOP FIRM X TV 30, 30 50, 35 LAPTOP 40,70 20, 20 A) If both firms make their decisions at the same time and follow maximin (low-risk) strategies, what will the outcome be? B) Suppose both firms try to maximize profits, but Firm X has a head start in planning, and can commit first. Now what will the outcome be? What will the outcome be if Firm Y has a head start in planning and can commit first? I2. Focus on the following Prisoner's Dilemma which is infinitely repeated. Find for what value of the discount factor the grim trigger strategy is a Subgame Perfect Nash Equilibrium of the game. Player 1 D C Player 2 D 0,0 -2,7 с 7,-2 5,5mall 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.)