Part 2: First Long Question There are two French bakeries in a small town: Le Meilleur Croissant (C), owned by Camille, and Le Meilleur Pain Au Chocolat (P), owned by Paul. In each period of an infınitely repeated game, they compete a la Bertrand, with market demand given by Q(pmin) = 10 - pmin: Even though they sell %3D identical goods, they have different marginal costs: cc = 2 and %3D
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As the two bakeries are now in a Bertrand price competition , both Bakeries aim to capture major market share . This game leads both players to undercut their prices sequentially to grab major market share .
Now , in this game both players can undercut prices till the point its equal to their marginal costs as beyond that it would not be profitable to produce .
It is given ,
MC of Paul = 4 , MC of Camille = 2
For above game Camille can undercut its prices till the point its just slightly lesser than 4 , and grab all of the market . This is because at price slightly below 4 will make Paul to stop production and leave market .
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- Part 2: First Long Question There are two French bakeries in a small town: Le Meilleur Croissant (C), owned by Camille, and Le Meilleur Pain Au Chocolat (P), owned by Paul. In each period of an infinitely repeated game, they compete a la Bertrand, with market demand given by Q(pmin) = 10 - Pmin- Even though they sell identical goods, they have different marginal costs: cc = 2 and %3D Cp = 4 (Paul bakes just as well but is bad at business decisions). There are no fixed costs. Question 6 Turns out that Camille and Paul are married, and so they choose prices to maximize the joint profits of the two firms. Because both love baking and love each other, they also jointly decide that both firms should be selling positive amounts in their optimal plan. What prices do they choose? Pc = 6, pp = 11 Pc = 6.5, pp = 6.5 Pc = 6, pp = 6 Pc = 7, pp = 7 %3D O pc = 6, pp = 7. Using a payoff matrix to determine the equilibrium outcome Suppose there are only two firms that sell tablets: Padmania and Capturesque. The following payoff matrix shows the profit (in millions of dollars) each company will earn, depending on whether it sets a high or low price for its tablets. Capturesque Pricing High Low Padmania Pricing High 9, 9 3, 15 Low 15, 3 7, 7 For example, the lower-left cell shows that if Padmania prices low and Capturesque prices high, Padmania will earn a profit of $15 million, and Capturesque will earn a profit of $3 million. Assume this is a simultaneous game and that Padmania and Capturesque are both profit-maximizing firms. If Padmania prices high, Capturesque will make more profit if it chooses a price, and if Padmania prices low, Capturesque will make more profit if it chooses a price. If Capturesque prices high, Padmania will make more profit if it chooses a price, and if Capturesque prices low, Padmania…II.2 Companies A and B can compete on advertising or R&D. The profits (in millions of $ million) of the two firms are given in the table below assumig that they play a one-shot simultancous mov game (the profit or firm A is listed first in every cell of the matrix, followed by the profit of firm B): Advertising R&D 50, 25 10, 70 20, 40 60, 35 1. Find the mixed strategy equilibrium. A\B Advertising R&D 2. What are the expected profits for both firms in this equilibrium?
- Consider the following Cournot game with two firms i = 1, 2. The demand function is P(Q) = 100 − Q, with Q = q1 + q2. The production costs for firm i are: C(qi) = 400 + 2qi . Find the nash equilibrium of this game. plz answer correct calculatuon asap plz dont answer by pepar1. Two firms (A and B) play a competition game (i.e. Cournot) in which they can choose any Qi from 0 to ¥. The firms have the same cost functions C(Qi) = 10Qi + 0.5Qi2, and thus MCi = 10 + Qi. They face a market demand curve of P = 220 – (QA + QB). a. Assume firm A chooses quantity first. Frim B observes this choice and then chooses its own quantity. What is Frim B's profit as a function of QA and QB? b. Firm B has MRB = 220 – 2QB – QA. What is firm B’s best response to an arbitrary QA selected by firm A? c. Given that firm A expects firm B’s best response, what is firm A’s profit as a function of QA? (Hint: the only unknown variable in the profit function should be QA) d. Firm A has MRA = 150 – 4QA/3. What are the equilibrium QA and QB selected in this game? e. What is the equilibrium price, and how much profit does each firm collect?1. The market (inverse) demand function for a homogeneous good is P(Q) = 10 - Q. There are two firms: firm 1 has a constant marginal cost of 2 for producing each unit of the good, and firm 2 has a constant marginal cost of 1. The two firms compete by setting their quantities of production, and the price of the good is determined by the market demand function given the total quantity. a. Calculate the Nash equilibrium in this game and the corresponding market price when firms simultaneously choose quantities. b. Now suppose firml moves earlier than firm 2 and firm 2 observes firm 1 quantity choice before choosing its quantity find optimal choices of firm 1 and firm 2.
- Suppose that currently there are no airlines serving the city of South Podunk. Both Accommodating Airlines and Friendly Flyers are looking to enter that morket (They are the only two.) The figure shows in extensive form the possible outcomes of the two firms' decisions. The payoffs represent, in thousands per month, the profit (or loss) the firm will realize from its decision. What does this extensive form game Indicate about the decision to enter the South Podunk market? Accommodating Airlines (AA) Moves First Friendly Flyers (FF) Move Second Profits (AA FF) Enter A (8, 5) Enter FF Don't Enter C 12. 0) AA Enter 8 (0, 10) Don't Enter FF2 Don't Enter D (0, 0) Multiple Choice Both airlines are better off by entering this market The outcome of this game is a prisoner's dilemma. O Accommodating Airlines has a first-mover advantage in this game. Friendly Flyers has a first-mover advantage in this game.2 firms are engaged in Cournot competition; firm A faces the cost curveCA(yA)=40yAand firm Bfaces the cost curveCB(yB)=40yB. The inverse market demand curve isP(y)=100y, whereyrepresents market level of output. a)Define the Cournot game. b)In 1 or 2 sentences explain why a firm has no incentive to deviate from the Cournot Nash equilibrium(holding their opponent’s strategy constant). c)Find the Cournot Nash Equilibrium. d)Now suppose instead of playing their strategies at the same time, firm A moves first and then firm B moves second(sequentialgame).Does firm A earn higher profits in this game or the game in part c)?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 compete
- 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?:Suppose that Fizzo and Pop Hop are the only two firms that sell orange soda. The following payoff matrix shows the profit (in millions of dollars) each company will earn depending on whether or not it advertises: Рop Hop Advertise Doesn't Advertise Advertise 8, 8 15, 2 Fizzo Doesn't Advertise 2, 15 11, 11 For example, the upper right cell shows that if Fizzo advertises and Pop Hop doesn't advertise, Fizzo will make a profit of $15 million, and Pop Hop will make a profit of $2 million. Assume this is a simultaneous game and that Fizzo and Pop Hop are both profit-maximizing firms. If Fizzo decides to advertise, it will earn a profit of $ million if Pop Hop advertises and a profit of $ million if Pop Hop does not advertise. If Fizzo decides not to advertise, it will earn a profit of $ million if Pop Hop advertises and a profit of $ million if Pop Hop does not advertise. If Pop Hop advertises, Fizzo makes a higher profit if it chooses If Pop Hop doesn't advertise, Fizzo makes a higher…Three firms compete in the style of Cournot. The inverse demand is P(Q) = a - Q. Scenario 1: All three firms have the same constant marginal cost MC = c. Scenario 2: Firm 1 has MC = 0.5c, Firm 2 has MC = c, and Firm 3 has MC = 1.5c. Assume that a > 3c. Which of the following is correct? (Price means the price in Nash equilibrium.) O Price in scenario 1> Price in scenario 2 O Price in scenario 2> Price in scenario 1 O Price in scenario 1 = Price in scenario 2 O Any of the first three options is possible depending on the value of a O Any of the first three options is possible depending on the value of a and c.