Cournot Model firms can effectively collude with each other and set a higher price. It would fetch them higher prices. Thus, profits would rise further. Although profits are higher in collusion form, the cheating by the one firm might increase profits of cheater further. Thus, there is a strong incentive for both firms to get involved in cheating for increasing profits.
Following are reaction curves :
In the above diagram, both firms collude and set output at M point. But after cheating one firm increases its output and both tend to think in a similar fashion. Eventually, there is a fall in price and a rise in output. both end up getting lesser profit.
Question 16: In a Cournot market, use the Best Response Functions for firms one and two...
Suppose the two firms cannot collude and instead compete in the Cournot Model in the market described in question 1 (market demand is still Q=18-P) with the same cost (C(Q)=1/2 *Q^2). Set up firm 1’s profit maximization. Solve for firm 1’s best response function. Solve for firm 1’s quantity, firm 2’s quantity, the equilibrium market quantity, and price. Show your work. Is this a Nash equilibrium? Do consumers prefer the Cournot competition equilibrium over the collusion of the two firms...
2*. Consider a market with two firms where the inverse demand function is given by p = 28 - 2q and where q = q1 + q2. Each firm has the total cost function c(qi) = 4qi, where i = {1,2}. a) Compare price level, quantities and profits in this market calculating the Cournot equilibrium and the Stackelberg equilibrium. Draw a graph with best response functions and illustrate the Cournot and Stackelberg solutions in that graph. b) Compare your solutions...
2*. Consider a market with two firms where the inverse demand function is given by p = 28 - 2q and where q = q1 + q2. Each firm has the total cost function c(qi) = 4qi, where i = {1,2}. a) Compare price level, quantities and profits in this market calculating the Cournot equilibrium and the Stackelberg equilibrium. Draw a graph with best response functions and illustrate the Cournot and Stackelberg solutions in that graph. b) Compare your solutions...
2*. Consider a market with two firms where the inverse demand function is given by p = 28 - 2q and where q = q1 + q2. Each firm has the total cost function c(qi) = 4qi, where i = {1,2}. a) Compare price level, quantities and profits in this market calculating the Cournot equilibrium and the Stackelberg equilibrium. Draw a graph with best response functions and illustrate the Cournot and Stackelberg solutions in that graph. b) Compare your solutions...
please answer all 10 questions
thanks
Suppose there are only two firms in the marker, firm A and firm B. They produce identical products. Firm A and firm B have the same constant marginal cost, MCA = MCB = ACA = ACB = 25. The market demand function is given by Q = 400 – 4P. a. If the firms practice under the Bertrand model, what will be the Nash equilibrium market price and output level? b. If these two...
Question 13a: On the same graph, draw the typical Best Response Functions (BRF) for two Cournot firms. Question 13b: Draw the effect of a reduction in firm one's marginal costs on its BRF in the above graph.
In the market of cournot competition, the aggregate market demand is P 100 4Q a. There exists two firms in the market, with identical production technology, i.e. mci = m2-20. Calculate the cournot equilibrium in this case. Also, draw the best response functions for firm 1 and firm 2 in the((2) plane b. There exists two firms in the market, with different production technology, i.e. mci = 10 and m2-30. Calculate the cournot equilibrium in this case. Also, draw the...
3. Suppose the two firms cannot collude and instead compete in the Cournot Model in the market described in question 1 (market demand is still Q = 18 – P) with the same cost (C(Q)=Q2). a. Set up firm 1's profit maximization. b. Solve for firm 1's best response function. C. Solve for firm 1's quantity, firm 2's quantity, the equilibrium market quantity, and price. Show your work. d. Is this a Nash equilibrium? e. Do consumers prefer the Cournot...
The inverse market demand is P=160 – 4Q. The firms have cost functions TC1 = 8+12q1+2q1² TC2 = 8+12q2+2q2² a. Determine monopoly profit-maximizing output for each firm. Determine the industry profit-maximizing output under collusion. Calculate the equilibrium price under collusion. Determine if the firms should collude. Assume your initial game is Cournot. Joint profits Profits Collusion = $1079.2 Profits Cournot = 1010.75 Profits Stackelberg = 971.17 Profit monopoly 1 = 904.67 Profits monopoly 2 = 904.67 Collude since...
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...