



Q.2 Two firms (i- 1, 2) produce differentiated produets. The market-clearing price is given by: pl60-lj,...
Q.3 Two firms (i 1, 2) produce differentiated products. The demand function for the product of firm i is given by: qiVi, pj) 4-pi + 2pj firm i and pj the price chosen by its competitor. Firm 1 chooses its price first and firm 2 chooses its price after observing the price of firm 1. The cost function of each firm is G(%) 21. Find the subgame-perfect Nash equilibrium. , where Pi is the price chosen by
Q.3 Two firms (i 1, 2) produce differentiated products. The demand function for the product of firm i is given by: qiVi, pj) 4-pi + 2pj firm i and pj the price chosen by its competitor. Firm 1 chooses its price first and firm 2 chooses its price after observing the price of firm 1. The cost function of each firm is G(%) 21. Find the subgame-perfect Nash equilibrium. , where Pi is the price chosen by
Suppose there are two firms operating in a market. The firms produce identical products, and the total cost for each firm is given by C = 8qi, i = 1,2, where qi is the quantity of output produced by firm i. Therefore the marginal cost for each firm is constant at MC = 8. Also, the market demand is given by P = 56 –4Q, where Q= q1 + q2 is the total industry output. The following formulas will be...
Q.2 Two firms produce homogeneous products. The inverse demand function is: p(x1,x2)-a-x1- x2, where x is the quantity chosen by firm 1, x2 the quantity chosen by firm 2, and a > 0. The cost functions are C1 (x1)-x follower. and C2(x2)- . Firm I is a Stackelberg leader and firm 2 a Stackelberg Q.2.a Find the subgame-perfect quantities. Q.2.b Calculate each firm's equilibrium profit.
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...
Two firms produce and sell differentiated products that are substitutes for each other. Their demand curves are Firm 1: Q 1 = 40 - 3P 1+ P 2 Firm 2: Q 2 = 40- 3P 2+P 1 Both firms have constant marginal costs of $2.00 per unit. Both firms set their own price and take their competitor's price as fixed. Use the Nash equilibrium concept to determine the equilibrium set of prices. Since the firms are identical, they will set...
imagine a market comprising two competing firms 1&2 which produce an identical product . the inverse demand function of the latter is p = 102 – Q, where Q = Q1 + Q2 , Qi = output of firm I (i=1,2) lastly , the cost of production equals TC(Qi)= 2 Qi . if the two firms choose Qi simultaneously , and only once , with a view to maximize their respective profit , find the nash equilibrium (Firm 1, firm...
2 Two firms compete in a market by selling differentiated products. The demand equations are given by the following equations: P2 91 = 75 - Pi + P1 92 = 75 - P2 + 2 assume that each firm has a marginal cost (and average costs) of o. a. What market model do we use if each firm competes by simultaneously choosing price? b. Are the two goods substitutes? C. Solve for firm 1's best response function. d. Solve for...
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...
Consider a market with two firms, A and B, producing a differentiated product. The demand for the products of firms A and B are, respectively, QA = 60 – 2pA + pB and QB = 60 – 2pB + pA, where pA is the price of firm A and pB is the price of firm B. Each firm has a constant marginal cost of production which is equal to 30 and no fixed costs. The firms choose prices only once...