Let q1=90-2p1 and q2= 90- 2p2+p1 be the demand function of Firm 1 and Firm 2. The total cost function of each firm is TC=1000.
(a) Based on Bertrand model, find the equilibrium price for Firm 1.
(b) Based on Bertrand model, find the profit for Firm 1.
(c) Based on Cournot model, find the equilibrium quantity for Firm 2.
(d) Based on Cournot model, find the profit for Firm 2.
Let q1=90-2p1 and q2= 90- 2p2+p1 be the demand function of Firm 1 and Firm 2....
The demand function for q1 and q2 are: q1=40-4p1+2p2 and q2=70-4p2+2p1 where q1=2and q2=2. What is the general equilibrium? p1=? p2=?
Duopoly with product differentiation in which the demand and cost functions are q1=88-4p1+2p2 c1=10q1, q2=56+2p1-4p2 c2=8q2 for the firm I and II respectively Derive the price reaction functions for each firm on the assumption that each maximises its profits with respect to its own price. Determine the equilibrium price, quantity and profit for each firm. Kindly elaborate the steps along with the books referred. Thanks
question 2 answer needed.
Ql) Consider an oligopoly with 2 firms. The inverse demand curve is given by P- 100- Q1-Q2. Firm 1's total cost function is TC 30Q1. Firm 2's total cost function is TC2 -20Q2. Analyze this using a Cournot model of oligopoly. Find the Nash Equi- librium quantity that each firm produces. Q2) Analyze the demand and cost functions in Question 1 using a Bertrand model of oligopoly where products are identical. Find the Nash equilbrium(a) prices....
Suppose that identical duopoly firms have constant marginal costs of $16 per unit. Firm 1 faces a demand function of q1 130-2p1+1p2 where q1 is Firm 1's output, p1 is Firm 1's price, and p2 is Firm 2's price. Similarly, the demand Firm 2 faces is 2 130-2P2+ 1p1 Solve for the Bertrand equilibrium. Note that OTI _-130-2p1 + 1p2-2p1 +32-0 op1 and oP2 p 130-2p2+ 1p1-2p2+320 In equilibrium, p1 equals $and p2 eqs (Enter numeric responses using integers.)
2. (Cournot Model) Consider a Cournot duopoly. The market demand is p=160 - q2. Firm 1's marginal cost is 10, and firm 2's marginal cost is also 10. There are no fixed costs. A. Derive each firm's best response function B. What is the Nash equilibrium of this model? Find the equilibrium market price. C. Find the equilibrium profit for each firm D. Find the equilibrium consumer surplus in this market. 3. (Bertrand Model) Consider a Bertrand duopoly. The market...
Suppose two firms (Firm 1 and Firm 2) are producing a product. The total demand is: Q = 110 –10P, where Q = Q1 + Q2. Each of the two firms has the cost function TC = 5Q. Based on the information given, calculate the equilibrium P, Q, Q1, Q2, Profit1 and Profit2 under monopoly (collusion), Cournot, and Stackelberg. For the Stackelberg model, assume that Firm 1 is the leader and Firm 2 is the follower. Show all your workings...
The market demand curve for a pair of duopolists is given as P=38- Q where Q= Q4 + Q2 The constant per unit marginal cost is 14 for firm 1 and 17 for firm 2. Find the equilibrium price, quantity and profit for each firm in both the Cournot model and Bertrand model. (Round your answers to 2 decimal places (e.g., 32.16). Enter zero whenever required.) a) Cournot Equilibrium Price: Equilibrium Quantity for Firm 1: Equilibrium Quantity for Firm 2:...
There are 2 firms in a market producing differentiated products. The firms both have MC that is equal to 0 Firm 1 demand is q1(p1,p2) = 6-2p1 + p2 Firm 2 demand is q2(p1,p2) = 6-2p2 + p1 1. Firms compete in quantities- Cournot Competition. What are the inverse demand functions for firm 1 and 2? 2. Find and graph each firm’s best response functions. The quantities are strategic substitutes or complements? 3. Find the Nash equilibrium prices and quantities...
Suppose that identical duopoly firms have constant marginal costs of $10 per unit. Firm 1 faces a demand function of q1=70-2p1+1p2, where q 1 is Firm 1's output, p 1 is Firm 1's price, and p 2 is Firm 2's price. Similarly, the demand Firm 2 faces is q2=70-2p2+1p1. Solve for the Bertrand equilibrium. In equilibrium, p 1 equals $____and p 2 equals $nothing. (Enter numeric responses using integers.)
Suppose there are two firms in a market producing differentiated products. Both firms have MC=0. The demand for firm 1 and 2’s products are given by: q1(p1,p2) = 5 - 2p1 + p2 q2(p1,p2) = 5 - 2p2 + p1 a. First, suppose that the two firms compete in prices (i.e. Bertrand). Compute and graph each firm’s best response functions. What is the sign of the slope of the firms’ best-response functions? Are prices strategic substitutes or complements? b. Solve...