7. Acura and Volvo offer warranties on their automobiles, where wA and we are the numbers of years of an Acura and Volvo warranty, respectively. The revenue for Firm i, i = A for Acura and V for Volvo, is 27000 w₁/(WA+Wv). Its cost of providing the warranty is C₁ = 2000 w₁. Acura and Volvo participate in a warranty-setting game in which they simultaneously set warranties. Calculate the Nash equilibrium warranties.
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- There are two firms in the market (duopoly). These two firms are competingsimultaneously. The first firm chooses its output level (x) by predicting the second firm’soutput (y). Let c denote the total cost function c(x) = x and c(y) = y. Also, let’s assumethat the inverse demand function is p(Y) = 7 - Y where Y = x + y. (1) Obtain the reactionfunction of the first firm. (2) Find the equilibrium (output and profit of each firm) whentwo firms simultaneously competeConsider a game where a potential market Entrant is trying to decide whether or not to enter the market. An Incumbent monopolist is established and can choose to cut the price, maintain the price, or raise the price in hopes of deterring the Entrant from entering. Incumbent Entrant Enter Stay Out Cut Price -4,4 0,9 Maintain Price 4,6 0,12 Raise Price 5,5 0, 13 a) Suppose the Entrant and the Incumbent make their decisions simultaneously. Is there a pure strategy Nash equilibrium? If so, what is it? b) Suppose the players move sequentially, and that the Entrant moves first. Set up the game tree and solve for the equilibrium path. Can the Incumbent deter entry? Explain. c) Now suppose that the Incumbent moves first. Again, set up the game tree. What is the subgame perfect Nash equilibrium outcome now? Can the Incumbent deter entry now?15. Consider two competing firms, JR and OG. Suppose OG produces an estab- lished product and JR can either produce a clone or a differentiated product. If JR produces a clone, OG can either sue JR or not sue it. If JR produces a differentiated product rather than a clone, OG can either buy JR or not buy it. The two firms are in a non-cooperative game whose extensive form is rep- resented in the tree diagram below, where the payoffs on the right represent profits. -1 for OG 1 for JR sue OG don't -2 for OG clone sue 1 for JR JR don't clone 1 for OG -1 for JR buy OG don't buy 2 for OG 0 for JR If the two firms' managers are rational and recognize each other as rational, then (a) JR clones and OG sues (b) JR does not clone and OG buys (c) JR does not clone and OG does not buy (d) JR clones and OG does not sue (e) JR clones and OG sues with probability .5
- P&G 1.10 1.20 1.10 - 226 - 215 1.20 - 106 - 89 1.30 - 56 - 37 1.40 - 44 - 25 1.50 - 52 -32 1.60 - 70 -51 - 93 -76 1.70 1,80 - 118 - 102 Why is this situation an example of the prisoners' dilemma game? This game is a type of prisoners' dilemma because O A. the firms are rivals. OB. competing maximizes joint firm profits. O C. the game results in cooperation. Click to select your answer. 1.30 - 204 -73 - 19 -6 - 15 - 34 - 59 -87 1.40 -194 - 58 2 S 12 5 3 - 18 -44 -72 1.50 - 183 - 43 15 29 20 -1 - 28 -57 1.60 - 174 - 28 31 46 36 14 -13 -44 1.70 - 165 - 15 47 62 52 30 1 -30 130 15228841517 1.80 - -2 62 68 4412. To advertise or not to advertise Suppose that two firms, Hatte Latte and Bean Bruuer, are the only sellers of espresso in some hypothetical market. The following payoff matrix gives the profit (in millions of dollars) earned by each company depending on whether or not it chooses to advertise: Bean Bruuer Advertise Doesn't Advertise Advertise Hatte Latte Doesn't Advertise 9,9 3,15 15,3 11, 11 For example, the lower left cell of the matrix shows that if Bean Bruuer advertises and Hatte Latte does not advertise, Bean Bruuer will make a profit of $15 million, and Hatte Latte will make a profit of $3 million. Assume this is a simultaneous game and that Hatte Latte and Bean Bruuer are both profit-maximizing firms. If Hatte Latte chooses to advertise, it will earn a profit of $ does not advertise. million if Bean Bruuer advertises and a profit of $ million if Bean Bruuer If Hatte Latte chooses not to advertise, it will earn a profit of $ does not advertise. million if Bean Bruuer…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
- Y5 The new food delivery company DoorDash is thinking of entering New Zealand. Its rivalry is the existing UBER Eats. Both these companies simultaneously choose whether to operate in January, February, March, or April, or not to operate at all. Thus the strategy set for both these companies is {January, February, March, April, or Not to Operate}. Assume that the profit received by a monopolist in month m (where a monopoly means only one company is operating) is 10 x m – 15, whereas each duopolist (so both are operating) would earn 4 x m – 15. A company makes zero profit for any month that is not operating. Also, the value of m while calculating the profits for a particular month in the above equations is as follows {January = 1, February = 2, March = 3, April = 4}. The payoffs of the strategic form of this game are the sum of the profit of all the months. For example, if DoorDash operates in February and UBER Eats in March, then DoorDash earns zero profit in January; 5 (=10 x 2 - 15)…1. Consider an industry with inverse demand given by p = 8 – q, where p is the price, and q is the quantity. There is one incumbent firm and one potential entrant. In the first stage of the game, the incumbent chooses its quantity qi. In the second stage, the potential entrant observes qi and chooses its quantity Ce. The potential entrant can also decide not to enter the market. The production technology of both firms are represented by the cost function C = 2q. To enter industry implies a fixed entry cost of F. (a) Find the equilibrium of the game, assuming that the potential entrant enters the industry. What are the profits of firms? (b) Assume that entry is not blockaded. For which values of F does the incumbent firm prefer to deter entry? (c) For which values of F, entry blockaded?3. Suppose there are two movie rental stores in town: Captain Video and Movie Mania. These movie rental firms face a choice between two advertising strategies: television (T) and radio (R). Captain Video will be the first firm to make a decision, and their decision will be based on the anticipated action of Movie Mania. A game tree is provided below: Captain Video T R Movie Mania Movie Mania RT T R $800, $600 $600, $750 $400, $400 $250, $450 Find the Nash equilibrium using the backward induction method. Please explain the decision making process of each firm. (3 pts)
- 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%Does each individual in a prisoners dilemma benefit more from cooperation or from pursuing self-interest? Explain briefly.Sometimes oligopolies in the same industry are very different in size. Suppose we have a duopoly where one firm (Film A) is large and the other film (Film B) is small, as the prisoners dilemma box in Table 10.4 shows. Assuming that both films know the payoffs, what is the likely outcome in this case?