Refer to the accompanying normal-form game of advertising depicted here. Firm B Do Not Advertise Advertise Firm A Advertise $0, $0 $175, -$100 Do Not -$100, $175 $125, $125 Advertise Suppose there is a 50 percent chance that the advertising game depicted shown above will end in the next period. The collusive agreement is

Refer to the accompanying normal-form game of advertising depicted here. Firm B Do Not Advertise Advertise Firm A Advertise $0, $0 $175, -$100 Do Not -$100, $175 $125, $125 Advertise Suppose there is a 50 percent chance that the advertising game depicted shown above will end in the next period. The collusive agreement is

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)

14th Edition

ISBN:9781305506381

Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris

Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris

Chapter13: best-practice Tactics: Game Theory

Section: Chapter Questions

Problem 10E

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Consider a situation where two firms, 1 and 2, compete by choosing prices simultaneously. Theycan either compete (charge a low price) or cooperate (collude, charging a high price). The firmsplay this competition game repeatedly and indefinitely, using a grim trigger strategy toincentivize cooperation. They use the same interest rate, i, to discount future payoffs. Payoffsare $4,050 when both firms cooperate and $3,600 when they compete. If one firm charge a lowprice while the other charges a high price, the firm charging the low price gets $7,200, and theother gets zero, but now assume there is a 10% chance that aregulatory agency will give both firms a $1,500 fine in each period if they are caught colluding.Find the condition on the interest rate, i , necessary for sustaining the cooperative equilibrium.Which of the following statements is correct?(a) For any i < 1/7 the firms will cooperate.(b) For any i < 1/11 the firms will cooperate.(c) For any i > 1/11 the firms will…
Suppose that there are two firms in a market, firm 1 and firm 2. The marketis declining in size. The game starts in period 0, and the firms can compete in periods 0, 1,2, 3, ... (i.e., indefinitely) if they so choose. Duopoly profits in period t for firm 1 are equalto 105 −10t, and they are 10.5 −t for firm 2. Monopoly profits (those if a firm is the onlyone left in the market) are 510 −25t for firm 1 and 51 −2t for firm 2. At the start of eachperiod, each firm must decide either to “stay in” or “exit” if it is still active (they do sosimultaneously if both are still active). Once a firm exits, it is out of the market forever andearns zero in each period thereafter. Firms maximize their (undiscounted) sum of profits.What is this game’s subgame perfect Nash equilibrium?
A) Focus on the strategic game at the lower-right side of the gametree. Find all the Nash equilibria for this subgame, including the mixed-strategyones. (b) Find all the subgame perfect equilibria for the entire game, allowingfor both pure and mixed strategies
13) Two identical firms are engaged in Cournot competition, with cost functionsTCA(QA) = 30 QA and TCB(QB) = 30 QB. The market demand is given by P = 480 –3Q.a) Plot the best response functions and report the Cournot-Nash equilibrium quantities, price and profits.b) What are the prices, quantities, and profits for the firms if they decide to collude and share profits equally?c) Show that firms have an incentive the deviate from the collusive outcome.d) Find the Stackelberg equilibrium if A leads and B follows.e) Show the equilibria in the previous parts on the inverse demand function. Calculate and identify consumersurplus and deadweight loss in each equilibrium. If you can only answer a limited amount of questions, please answer d and e :)
Solve for the Stackelberg subgame-perfect Nash equilibrium for the fol- lowing game tree (see next page). What is the joint-profit maximizing outcome? Why is that not the outcome of this game?
N6 As the number of firms In an cligopoly becomes very lange, the price gets close to the perfiect competition price True False
Suppose three Cournot competitors, each with costs Ci = 30qi, face an inverse market demand curve of P = 480 – 4Q. Suppose merging will not change costs. a. Find profits for the three firms. Note: Don’t round your answers. How will the profits change for F1 and for F2|3 if F2 and F3 merge? b. Suppose that after the merger occurs, F1 and the new firm F2|3 successfully collude at setting the monopoly price and output, and splitting the resulting monopoly profits. How, if at all, does this change the impact of the merger on F1 and on the merged firm?
Someone please clear my doubt.I have posted question and got answer,i attached the ques and ans(refer image). I can't understand how q1=19800 and q2=0 in equilibrium when the two actors have the same cost and revenue functions and they act simultaneously in a one-shot game. Intuitively one would guess that a cournot equillibrium would occur when q1=q2. Am I wrong i assuming that there can be no "player business that chooses to produce first" in a one-shot simultaneous game? What am i not understanding?
Consider the location game we covered in Lecture 3. Now assume there arethree players (vendors). As we assumed in the lecture, consumers in each area choosethe closest vendor and if there are multiple closest vendors then these vendors receiveequal share of consumers in the area. Notice Si = {1, 2, 3, ...., 9} for i = 1, 2, 3. Here aresome examples of payoffs: u1(1, 1, 1) = 3, u1(1, 1, 9) = u2(1, 1, 9) = 2.25, u3(1, 1, 9) =4.5, u1(1, 5, 9) = u3(1, 5, 9) = 2.5 and u2(1, 5, 9) = 4. (a) Is s′1 = 1 strictly dominated by s′′1 = 2 for player 1?(b) Is s′1 = 1 weakly dominated by s′′1 = 2 for player 1?(c) Can you find a Nash equilibrium in pure strategies?
Part d please Suppose four Cournot competitors face an inverse market demand curve of P = 1620 – 8Q, each with identical costs Ci = 4000 + 60qi. Use the formulae given in exercise 8.15 (pgs. 214-15) for firm profits, market price, and consumer surplus at a Cournot equilibrium to answer the following questions. a. Demonstrate that a merger between F3 and F4 will not be profitable if their costs remain unchanged. (Careful: the “n” in the profit formula changes from 4 to 3.) b. Could the merger be profitable i. if fixed costs fell? If so, how much reduction is necessary? ii. If the variable costs of the merged firm fell by 75%, so that C3|4 = 8000 + 15q? (Fixed cost remains 8000 because we are assuming only variable costs fall.) c. Calculate the consumer surplus created in this market when there are four identical firms. How does it change after a merger occurs between F3 and F4 if: i. no costs savings occur ii. the merged firm reduces its fixed costs by $6000 iii. the merged firm…
1. What are the advantages and disadvantages of collusion? Define Collusion 2. In a Stackelberg game, what is the best response that follower firm 2 can make to the choice y1 already made by the leader, firm 1? Defining the game and provide an example of the best response.
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?