In the price model duopoly, the firms 1 and 2 produce quantities d1 and d2 as a functions of their prices p1, p2.
In this case:
d1 = max {0; 5 - p1 + 3p2} and d2 = max {0; 10 - 2p1 + p2}.
The firms have no production cost and they choose the prices at the same time and
independent of what the other chooses.
Solve for the Nash equilibrium and write down the best response functions of the firms.
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...
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...
Please answer the following question fully and in detail! Consider a Bertrand duopoly with two firms 1,2 who sell the same good. The demand curve of the good is given by Q = 30 − p if p < 30 and Q = 0 if p ≥ 20. Both firms have the same constant unit cost 5. Firms 1,2 set prices p1, p2. If firms set different prices, then the firm which sets the minimum price of the two, receives...
Please answer the following question fully and in detail! Consider a Bertrand duopoly with two firms 1,2 who sell the same good. The demand curve of the good is given by Q = 15 − p if p < 15 and Q = 0 if p ≥ 15. Both firms have the same constant unit cost 2. Firms 1,2 set prices p1, p2. If firms set different prices, then the firm which sets the minimum price of the two, receives...
6. Entry Deterrence 2: Consider the Cournot duopoly game with demand p= 100 - (qı+q2) and variable costs c;(q;) = 0 for i € {1, 2}. The twist is that there is now a fixed cost of production k > 0 that is the same for both firms. Assume first that both firms choose their quantities simultaneously. Model this as a normal-form game. b. Write down the firm's best-response function for k = 1000 and solve for a pure-strategy Nash...
BERTRAND DUOPOLY: Company A and B decide how to price their commodities. If firm A chooses price Pa and the competitor chooses Pb, the quantity demanded from firm A is given by Qa=100-5Pa+2Pb. Firm B is given by Qb=100-5Pb+2Pa. The cost of producing one unit of the commodity is $10 for both firms. 1) Calculate the best response function for each firm. 2) Graph both best response functions in one diagram. 3) What is the Nash Equilibrium of these? 4)...
1 (Bertrand Model with sequential move) Consider a Bertrand duopoly model with two firms, Fi and Fa selling two varieties of a product. The demand curve for Fi's product is 91 (pi,P2) = 10-Pl + 0.5p2: and the demand for F's product is where p is the price charged by F). Both firms have a constant marginal cost of (a) Write down the profits of F1 and F2 as a function of prices P1 and P2. You have b) Derive...
Sub King and GyroMart are the only two sandwich shops in town. Their goods are imperfect substitutes. Careful research has found that the demand function for the two firms are q1 = 30 − 3p1 + 2p2, and q2 = 30 − 3p2 + 2p1. In other words, while the price of Gyros affects demands for subs, consumers do not simply buy the cheapest item, some are willing to pay more to get a sub, and some are willing to...
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.)
Mathematical Question 3 (30pts) 3. Consider two firms are performing Cournot price competition in two differentiated goods markets. Firm 1 produces goods 1, and firm 2 produces goods 2, and two market demand functions are given by 91 (P1,P2) = 12-2p1 + P2 and 921,P2) = 12-2p2 + P 1. Furthermore, assume that the two firms have the same cost function such that fixed cost is $20 and variable cost is zero. a. (10pts) Calculate the equilibrium prices, quantities and...