1. Assume the payoff matrix for a game is as follows. Firm B X Y Firm A 6,6 14,2 2 2, 14 9,9 What is the maximum interest rate at which collusion could occur between these firms with a trigger strategy if the game is played an infinite number of times?
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- Refer to the following payoff table: Firm A's Advertising Budget Multiple Choice Low O Medium High Firm A High Firm A High A Firm B Medium D G Low $900, $900 $1,000 $800 Firm B's Advertising Budget Medium B E H $820, $1,220 $950, $1,025 $875, $920 $800, $875 After the first round of elimination, are there any dominant strategies? If so, which one(s)? C Neither firm has a dominant strategy after the first round. F High $1,060, $1,100 $1,040, $1,000 $1,025, $1,175Answer part C and DPls help with below homework
- 10:04 PM cb = Chegg Economics Vo LTE expert.chegg.com/expertqna Time remaining: 00:09:49 Consider the following payoff matrix for two oligopolists that are deciding what quantity to produce: Firm 2 High Quantity Low Quantity $70k; $70k $130k; $20k High Quantity Firm 1 $20k; $130k $100k; $100k Low Quantity In the Nash equilibrium of this game, what are the payoffs to each firm? O a. Firm 1 receives $130k and Firm 2 receives $20k. O b. Firm 1 receives $20k and Firm 2 receives $130k. O c. Firm 1 receives $100k and Firm 2 receives $100k. O d. Firm 1 receives $70k and Firm 2 receives $70k. Answer Skip 4G Exit 2 ¹20%The following payoff matrix shows the possible sentence that two suspects , who are arrested on suspicion on car threft,could recieve. The suspects are intarogated seperately and are unable to communicate with one another. For the information given in the payoff matrix above: a. Is there a dominant strategy. b. What is the dominant strategy? How do you know? c. Is there a Nash equilibirium ? How do you know?2. Consider an infinitely repeated game in which, in each period, two firms with zero costs choose quantities and prices are given by: p1 = 1 - q1 - q2/2, p2 = 1 - q2 - q1/2. Firms have a common discount factor of 8 = 1/2. a) Explain what a trigger strategy is and determine whether the firms can attain the joint profit maximising outcome in a subgame perfect equilibrium using trigger strategies. b) Explain what a stick and carrot strategy is and discuss whether it is possible to attain the joint-profit maximising outcome in a subgame perfect equilibrium using stick and carrot strategies.
- Suppose that Creamland and Dairy King are the only two firms that sell ice cream. The following payoff matrix shows the profit (in millions of dollars) each company will earn depending on whether or not it advertises: Dairy King Advertise Doesn't Advertise Advertise 8, 8 15, 2 Creamland Doesn't Advertise 2, 15 11, 11 For example, the upper right cell shows that if Creamland advertises and Dairy King doesn't advertise, Creamland will make a profit of $15 million, and Dairy King will make a profit of $2 million. Assume this is a simultaneous game and that Creamland and Dairy King are both profit- maximizing firms. If Creamland decides to advertise, it will earn a profit of s million if Dairy King advertises and a profit of $ million if Dairy King does not advertise. If Creamland decides not to advertise, it will earn a profit of s million if Dairy King advertises and a profit of s million if Dairy King does not advertise. If Dairy King advertises, Creamland makes a higher profit if it…A secluded off-ramp on a highway through the Prairie of Prax has two gas stations, the only gas stations for miles, Northgoings and Southgoings. Suppose Northgoings and Southgoings must simultaneously display their prices, choosing between a high price and low price gas. The payoff matrix for this game, showing potential daily profit, is displayed below. Assume both stations know all of the information in the matrix, and that this is a one-time payoff. Northgoings Decisions High Price Low Price N: $500 N: $800 High Price S: $400 S: $50 Southgoings Decisions N: $100 N: $250 Low Price S: $700 S: $200 (a) According to our model of game theory, Northgoings has a dominant strategy to [Select] (b) According to our model of game theory, Southlgoings has a dominant strategy to [ Select] V (c) According to our model of game theory, the competitive outcome, or Nash Equilibrium, Northgoings will earn [ Select] and Southgoings will earn [ Select] (d) On the other hand, if these two companies…To advertise or not to advertise Suppose that Creamland and Dairy King are the only two firms that sell ice cream. The following payoff matrix shows the profit (in millions of dollars) each company will earn depending on whether or not it advertises: Dairy King Advertise Doesn't Advertise Creamland Advertise 10, 10 18, 2 Doesn't Advertise 2, 18 11, 11 For example, the upper right cell shows that if Creamland advertises and Dairy King doesn't advertise, Creamland will make a profit of $18 million, and Dairy King will make a profit of $2 million. Assume this is a simultaneous game and that Creamland and Dairy King are both profit-maximizing firms. If Creamland decides to advertise, it will earn a profit of _________ million if Dairy King advertises and a profit of ________ million if Dairy King does not advertise. If Creamland decides not to advertise, it will earn a profit of __________ million if Dairy King advertises and a profit of _________…
- 2) 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 60, 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? C) What is the cooperative outcome? D) Which firm benefits most from the cooperative outcome? How much would that firm need to offer the other?NoneSuppose 2 firms must decide whether or not to invest in building a new factory to expand production. The payoff matrix from this decision is shown below in the image What are the possible values of y such that Firm 2 has the dominant strategy to not expand?