Consider a game with the following payoff table for player 1: Strategy Player 1 1 2 3 1 5 23 2 2 0 042 Player 2 3 330 4 1 2 4 (a) Follow the approach described in Sec 15.5 to formulate the problem of finding optimal mixed strategies according to the minimax criterion as a linear programming problem. Please give the linear programming problem for each player.
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- q52 If you advertise and your rival advertises, you each will earn 14 million in profits. If neither of you advertises, you will each earn 20 million in profits. However, if one of you advertises and the other does not, the firm that advertises will earn 10 million and the non-advertising firm will earn 16 million. If you and your rival plan to be in business for only one year, the Nash equilibrium is a. for each firm to advertise. b. for the other firm to advertise and your firm not to advertise. c. for your firm to advertise and the other not to advertise. d. for neither firm to advertise.Suppose two firms compete in quantities (Cournot) in a market in which demand is described by: P=260-2Q. each firm incurs no fixed cost but has a marginal cost of 20. Now imagine they collude to produce the monopoly output. Suppose that after the cartel is established, firm 1 decides to cheat on the collusion, assuming the other firm will continue to produce its half of the monopoly output. What will be firm 1's profit if firm 2 continues producing the monopoly outcome? a. 4500 b. 5200 c.4200 d. 4050 Should firm 2 respond and increas their quantity? Yes or No3. Describe some interaction your company has with another entity (firms producing complementary or substitute products, upstream sup- pliers, or downstream customers), or between internal divisions within your firm that can be described as a sequential or simultaneous game. Diagram the strategies, players, and compute payoffs as best you can. Compute the Nash equilibria. What can you do to change the rules of the game to your advantage? Compute the profit consequences of your advice.
- 5 Suppose two players play one of the two normal-form games shown in Figure 1. L U 0,-1 D 2,4 R 2,0 6,0 L U | 4,-1 D 2,-2 R 2,0Now suppose that Player 2 knows which game is being played, but Player 1 does not. Find the pure strategy Bayesian Nash equilibrium of this game.Q56 A Nash equilibrium is an outcome... a. Achieved by cooperation between players in the game. b. That is achieved by collusion where no party has an incentive to change their behaviour. c. Where each player's strategy depends on the behaviour of its opponents. d. That is achieved when players in the game have jointly maximized profits and divided those profits according to market share of each player. e. Where each player's best strategy is to maintain its present behaviour given the present behaviour of the other players.16-1 Newspaper Bargaining Two equal-sized newspapers have an overlap in circulation of 10% (10% of the subscribers subscribe to both newspapers). Advertisers are willing to pay $10 to advertise in one newspaper but only $19 to advertise in both, because they’re unwilling to pay twice to reach the same subscribers. What’s the likely bargaining negotiation outcome if the advertisers bargain by telling each newspaper that they’re going to reach an agreement with the other newspaper, so the gains to reaching agreement are only $9? Suppose the two newspapers merge. What is the likely post-merger bargaining outcome? these would be most advantageous from a bargaining position?
- 4 Consider an extensive game where player 1 starts with choosing of two actions, A or B. Player 2 observes player 1’s move and makes her move; if the move by player 1 is A, then player 2 can take three actions, X, Y or Z, if the move by player 1 is B, then player 2 can take of of two actions, U or V. Write down all teminal histories, proper subhistories, the player function and strategies of players in this game.You are the manager in a market composed of 20 firms, each of which has a 5.00 percent market share. In addition, each firm has a strong financial position and is located within a 100-mile radius of its competitors. a. Calculate the premerger Herfindahl-Hirschman index (HHI) for this market? b. Suppose that any two of these firms merge. What is the postmerger HHI? c. Based only on the information contained in this question and on the U.S. Department of Justice Horizontal Merger Guidelines described in this chapter, do you think the Justice Department would attempt to block a merger between any two of the firms?multiple choice It may but will also consider other factors. It likely will not. It likely will.7. Jane and Joe are a wealthy couple. In part, this wealth is attributable to Jane’s highly successful limousine business. Although Joe has been involved somewhat in the limousine business, he has a variety of other ventures and assets. Jane decides it should be clearly established that she had legal control over the limousine business and how it is run. As a result, the two enter into a contract pursuant to which Jane foregoes all claims to all business ventures in exchange for Joe agreeing to do the same with respect to the limousine business. At the time, the limousine business has an FMV of $2 million and a basis of $500,000. Joe has the equivalent aggregate FMV and basis in his businesses. What are the tax consequences to Jane and Joe respectively?
- Two rival communications companies (Alpha and Beta) are both considering bringing out a revolutionary 8G wireless technology. Unfortunately, the costs of development are so high that the potential market could only support one firm. Both companies understand these possible outcomes. If one firm enters the 8G market and the other does not, the entering firm will receive $500 billion in profits over the next 5 years; the other firm will receive $100 billion over the same 5 years (by concentrating on their current 5G service). If neither enters the 8G field, they can both expect to receive $75 billion over the 5-year period, as they fight over the 5G market. Lastly, if both enter the 8G market, each will end up suffering a $50 billion loss over the same 5 years. Use a game table with “ENTER” and “STAY OUT” to decide each player’s options and the payoffs. Explain why each company has a strong reason to want to announce its intentions before the other company announces theirs.6 Samsung wants to prevent Whirlpool from entering the market for high-priced, front-load washing machines. Front-load washing machines clean clothes better and use lesser water than conventional top-load machines. Even though front-load machines are more costly to manufacture than top-loaders, Samsung is nonetheless earning economic profit as the only firm making front-loaders for upscale consumers. Plan the appropriate strategic moves that can be applied by Samsung in order to deter Whirlpool from entering the market of front-load washing machines.11 21. Imagine an N firm oligopoly for "nominally differentiated" goods. That is, each of the N firms produces a product that "looks" different from the products of its competitors, but that "really" isn't any different. However, each firm is able to fool some of the buying public. Specifically, each of the N firms (which are identical and have zero marginal cost of production) has a captive market -consumers who will buy only from that firm. The demand generated by each of these captive markets is given by the demand function Pn A- Xn , where Xn is the amount supplied to this captive market and Pn is the price of the production of firm n. There is also a group of intelligent consumers who realize that the products are really undifferentiated. These…