The inverse market demand for fax paper is given by P=100-Q. There are two firms who produce fax paper. Firm 1 has a cost of production of C1= 15*Q1 and firm 2 has a cost of production of C2=20*Q2 a) Suppose firm 1 and firm 2 compute simultaneously in quantities. What are the Cournot quantities and prices? What are the profits of firm 1 and 2? b) Suppose firm 1 and firm 2 compete simultaneously in prices. What are the Bertrand quantities and prices? What are the profits of firm 1 and 2
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The inverse market
a) Suppose firm 1 and firm 2 compute simultaneously in quantities. What are the Cournot quantities and prices?
What are the profits of firm 1 and 2?
b) Suppose firm 1 and firm 2 compete simultaneously in prices. What are the Bertrand quantities and prices?
What are the profits of firm 1 and 2?
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- Question 3 The inverse market demand for fax paper is given by P=100-Q. There are two firms who produce fax paper. Firm 1 has al cost of production of C₁= 15*Q₁ and firm 2 has a cost of production of C₂=20*Q₂. 1) Suppose firm 1 and firm 2 compute simultaneously in quantities. What are the Cournot quantities and prices? What are the profits of firm 1 and 2? 2) Suppose firm 1 and firm 2 compete simultaneously in prices. What are the Bertrand quantities and prices? What are the profits of firm 1 and 2? 3) Suppose that firm play a Stackelberg game. First firm 1 sets the quantity in t=1, then, knowing which quantity firm 1 has set, firm 2 chooses the quantity in t=2. What are the Stackelberg quantities and prices? What are the profits od firm 1 and 2? Compared to part a) which firm benefits and which firm loses?The daily demand of two firms Firm 1 and Firm 2 producing two products is given by : D1 = 5 - 22P1 + 11P2 D2 = 50 - 22P1 + 11P2 These are the only firms producing the products. MC of Firm 1 is $0.5 per product and MC of Firm 2 is $2 per product. Q1. Calculate the equilibrium quantity and price of both the firms. You may assume that firms want to maximise the profits. Q2.Calculate producer surplus and deadweight loss.. The market for widgets consists of two firms that produce identical products. Competition in the market is such that each of the firms independently produces a quantity of output, and these quantities are then sold in the market at a price that is determined by the total amount produced by the two firms. Firm 2 is known to have a cost advantage over firm 1. A recent study found that the (inverse) market demand curve faced by the two firms is P = 280 – 2(Q1 + Q2), and costs are C1(Q1) = 3Q1 and C2(Q2) = 2Q2. a. Determine the marginal revenue for each firm. b. Determine the reaction function for each firm.
- Suppose we have two identical firms A and B, selling identical products. They are the only firms in the market and compete by choosing quantities at the same time. The Market demand curve is given by P=477-Q. The only cost is a constant marginal cost of $16. Suppose Firm A produces a quantity of 66 and Firm B produces a quantity of 49. If Firm A decides to increase its quantity by 1 unit while Firm B continues to produce the same 49 units, what is the Marginal Revenue for Firm A from this extra unit? Enter a number only, no $ sign. Don't forget to include the negative sign if revenue decreases.Two firms (called firm 1 and firm 2) are the only sellers of a good for which the demand equation is Here, q is the total quantity of the good demanded and p is the price of the good measured in dollars. Neither firm has any fixed costs, and each firm’s marginal cost of producing a unit of goods is $2. Imagine that each firm produces some quantity of goods, and that these goods are sold to consumers at the highest price at which all of the goods can be sold. A Cournot equilibrium in this environment is a pair of outputs (q1, q2) such that, when firm 1 produces q1 units of goods and firm 2 produces q2 units of goods, neither firm can raise its profits by unilaterally changing its output. Find the Cournot equilibrium. Determine whether the price at which the goods are sold exceeds marginal cost.In the domestic airline market, where companies compete on the number of seats they make available in the market measured in millions (x), the inverse of the demand for seats is pd(x) = 40 - 4x.Assume that there are 2 airlines: LON and Pacific Airlines. The marginal cost per seat of both airlines is 10:(a) Determine the market equilibrium (quantity produced by each firm, market price and profits). Graph(b) Assume that LON and Aerolineas del Pacifico collude and act as a monopoly. Calculate the number of seats (x) and the selling price.(c) What is the efficient number of seats that should be made available to consumers, and at what price would each seat be sold?
- Suppose that Market demand for golf balls is described by Q= 90-3p,Where Q is measured in kilos of balls. There are two firms that supply the market. Firm 1 can produce a kilo of balls at a constant unit cost of $15 whereas firm 2 has a constant unit cost equal to $10.a. suppose firms compete in quantities. How much does each firm sell in a Cournot equilibrium? What is the market price and what are firms' profit?b. suppose firms compete in price. How much does each firm sell in a Bertrand equilibrium. What is market price and what are firms' profits?consider a market with inverse demand P(Q) = 10 − Q and two firms with cost curves C1(q1) = 2q1 and C2(q2) = 2q2 (that is, they have the same marginal costs and no fixed costs). They compete by choosing quantities. Suppose that Firm 1 chooses quantity first and is able to credibly commit to this choice. Then firm 2 choose its quantity after observing firm 1’s quantity. In the SPNE of this game, what is the price faced by consumers?- p = 3- p = 4- p = 5- p = 6- p = 7Consider two firms that produce the same product and sell it in a market with the following demand function: d(p) = max{0, 12 − p}, where p ≥ 0 is the unit price of the good. Suppose that, for technological reasons, firm 1 can produce either 4 units of output at the total cost of 10, or 6 units at the total cost of 15. Similarly, firm 2 can produce either 3 units of output at the total cost of 8, or 4 units at the total cost of 10. Assume that the firms make their production decisions simultaneously. Characterize the players’ strategy sets. Write down this game in the normal and extensive forms. Find all (if any) Nash equilibria of the game. Now assume that firm 1 makes its decision first. Firm 2 decides how much to produce after it observes firm 1’s output. Characterize the players’ strategy sets. Write down this game in the normal and extensive forms. Find all (if any) Nash equilibria of the game.
- Two firms sell substitutable products; the market price is: P = 90-Q, where Q Q₁ + Q2 is the total market quantity, which consists of Q1₁ (the quantity produced by Firm 1) and Q2 (the quantity produced by Firm 2). The firms choose their quantities simultaneously. Firm 1's costs are C₁ 6Q₁ + Q². Firm 2's costs are C₂ = Q². = O Which is the payoff function for Firm 2? O π₂ = 90Q₂ - 2 Which is the best response function for Firm 1? O π₂ = 90Q₂ - Q²². πT2 π₂ = 45 - Q² Q₁ Q₂₁ 2 O π₂ = 45 - 1²/20₁². Q₁ Q₁ 3 = 16. ²/Q²-Q₁2. = 32- 2- 1/1/202₂. 3 Q₁ = 45. Q1 = 40 + ²/Q₂₁ 2.2. = 10- -The marginal cost of a product is fixed at MC = 20. The demand for the product is Q = 100 - 2P. (a) Now consider a Cournot model with two firms that are choosing quantities simultaneously. What is the best reply (best response) function for each firm? What is theNash equilibrium? What is the total surplus? (b)What do you expect the total surplus would be with three firms? Why? (You do not need to calculate an exact value. You can say ”total surplus is at least 100”, or ”total surplus is at most 80”)Two firms sells an identical product. The demand function for each firm is given: Q = 20 - P, where Q = q1 + q2 is the market demand and P is the price. The cost function for reach firm is given: TCi = 10 + 2qi for i = 1, 2. a) If these two firms collude and they want to maximize their combined profit, how much are the market equilibrium quantity and price? b) If these two firms decide their production simultaneously, how much does each firm produce? What is the market equilibrium price? c) If Firm 1 is a leader who decides the production level first and Firm 2 is a follower, how much does each firm produce? What is the market equilibrium price?