Two firms compete as a Stackelberg duopoly. The demand they face is P = 402 - Q. The cost function for firm 1 (the leader) is Ci(Q) = 201, and the cost function for firm 2 (the follower) is C2(Q2) = 6Q2 The profits earned by the firms are Multiple Choice A1 $20,806 and a2 $9,991. #1 $20.402 and a2= $9.409
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- Two firms, App and Sam, producing a good named Smart 13 compete in a Stackelberg duopoly. The inverse demand equation is P=25-(9,+92) the total cost function for Sam (the follower) is TC2=3q2. Determine the leader's maximum profit. The total cost function for App (the leader) is TC1 =1q1, and Moving to another question will save this response. Question 6 of 22Two firms are competing in an infinitely repeated Bertrand duopoly. The marginal cost of both is equal to 6. There are no fixed costs. The demand function for the good is q = 10 – p, where q is the total quantity demanded and p the price. (a) Find the equilibrium in the infinitely repeated game in which the two firms share the market equally. (b) Suppose that firm l's marginal cost falls to 0. The other firm's marginal cost is still 6. Is there an equilibrium in the infinitely repeated game in which the two firms share the market?Two firms compete in a single market (duopoly) with demand given by QD-60-P. The two firms have identical cost functions, C(q)=2q. Suppose firm 1 chooses its output first, following by firm 2 (Stackelberg model). In this case, firm 1 produces ✓ units and firm 2 produces ✓. Firm 1 earns ✓ units. The price in the market is ✓and firm 2 earns $ $ Does firm 1 have a first-mover advantage here?
- Consider a market with demand P(Q) = 39-3Q in which two firms compete. Firm 1 faces TC1(Q) = 18Q and firm 2 faces TC2(Q) = 9Q. Suppose that firm 1 chooses their quantity first, then firm 2 sees that quantity, and then firm 2 sets their quantity (Stackelberg duopoly). (a) Find the reaction function for firm 2 (b) What is the marginal revenue for firm 1 (given that they know that firm 2 will best respond)? (c) Find the Stackelberg equilibrium (d) Determine profits for each firm and consumer surplus. (e) Which firm is better off?1. 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). Now assume firm A chooses quantity first. Firm B observes this choice and then chooses its own quantity. 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?Firm 1 and Firm 2 are Stackelberg competitors. Firm 1 is the leader and Firm 2 is the follower. They have the same cost functions: Firm 1: C₁(Q1) = 4Q1 Firm 2: C2(Q2) = 4Q2 The market demand is QD = 42 -0.5P Compute the SPE of this game. In equilibrium, Firm 1 produces Q₁= and the price is P= v, Firm 2 produces Q2=
- Table 2 below represents the payoff matrix for two firms, X and Y, who compete with each other. Payoffs are in millions of pounds (£) profit. Each firm may choose one of two strategies i.e. set a high price for its output or set a low price for its output. Neither firm knows what strategy the other will adopt. Table 2 11. Firm Y High Price Low Price Firm X High Price X-£7mn, Y-£7mn X=£1mn, Y=£15mn Low Price X-£15mn, Y-£1mn X=£4mn, Y=£4mn In the absence of collusion, which combination of strategies is most likely to occur? a) X sets a low price and Y sets a low price. b) X sets a high price and Y sets a low price. c) X sets a low price and Y sets a high price. d) X sets a high price and Y sets a high price.Consider a Leader-Follower duopoly, the firms face an (inverse) demand function: Pb = 530 - 17 Qb.The marginal cost for firm 1 (The Leader) is given by mc1 = 12 Q.The marginal cost for firm 2 (The Follower) is given by mc2 = 9 Q. (Assume firm 1 has a fixed cost of $ 157 and firm 2 has a fixed cost of $ 113 .) What are the profits of firm 2? Answer: 41.92Consider a market that only includes two large firms. The (inverse) market demand is P = 100 – Q. 3q2. Firm 1 has a cost function of C, = 2q1, and firm 2 has a cost function of C2 Use a Cournot model to calculate the Nash equilibrium outputs q, and q2 of the two firms. and 92 (a) Give each firm's profit as a function of (b) Compute the Nash equilibrium q, and q2.
- Q4Three firms compete in the style of Cournot. The market demand is given by Q(P) = 9 - P. There are no fixed cost and each firm s marginal cost is constant. Firm 1's marginal cost is MC1 = equilibrium if and only if 1, firm 2's marginal cost is MC2 = 2. Let MC3 be the marginal cost of Firm 3. All three firms will produce a strictly positive quantity in the Nash МС3 4. МС3 < 1. МС3 < 4. МС3 < 2.Two firms compete in a single market (duopoly) with demand given by QD=60-P. The two firms have identical cost functions, C(q)=2q. If the two firms compete via Bertrand (price) competition, then each will charge a price of $ If the two firms compete via Cournot (quantity) competition, then each firm will produce in the market will be $ ✓. Each firm's profit will be $ Suppose rather than compete, the two firms collude. In this case, the price in the market will be $ a profit of $ ✓ units and the equilibrium price ✓ and each firm will earn