Question

In: Economics

Consider the constant elasticity Cournot example from class. Two firms are facing market demand D(P) =...

Consider the constant elasticity Cournot example from class. Two firms are facing market demand D(P) = A/P^ε . Firms have constant marginal costs c1 and c2 respectively. Derive the expression for the equilibrium market power m1 of firm 1. If c1 = c2, then how does m1 depend on ε?

Solutions

Expert Solution


Related Solutions

Consider two identical firms in a Cournot competition. The market demand is P = a –...
Consider two identical firms in a Cournot competition. The market demand is P = a – bQ. TC1 = cq1 = TC2 = cq2 . Find the profit function of firm 1. Maximize the profit function to find the reaction function of firm 1. Solve for the Cournot-Nash Equilibrium. Carefully discuss how the slope of the demand curve affects outputs and price.
Consider a market with two firms, facing the demand function: p = 120 – Q. Firms...
Consider a market with two firms, facing the demand function: p = 120 – Q. Firms are producing their output at constant MC=AC=20. If the firms are playing this game repetitively for infinite number of times, find the discount factor that will enable cooperation given the firms are playing grim trigger strategy.
Consider a modified example from class. There are 3 Cournot competitors in the market with P(Q)...
Consider a modified example from class. There are 3 Cournot competitors in the market with P(Q) = 20 − Q. Marginal costs are MC1(q1) = 10 − q1, MC2(q2) = 9 and MC3(q3) = 6. Firms 1 and 2 decide to merge. Does firm 3 win or lose from this merger?
1 Consider two Cournot competitive firms – with the following market demand function P=100-Q. The firms...
1 Consider two Cournot competitive firms – with the following market demand function P=100-Q. The firms face constant marginal costs, MC1 = 5 whereas MC2 = 25. However, if they merge then the marginal production costs would fall to 5. Calculate the costs and benefits due to the merger for either firm.    Is this merger Pareto improving for the economy? Explain.    A Bertrand competition does not necessarily gravitate towards competitive prices in the equilibrium, with imperfect substitutes. In...
Two firms, firm 1 & firm 2, in a Cournot duopoly are facing the market demand...
Two firms, firm 1 & firm 2, in a Cournot duopoly are facing the market demand given by P = 140 – 0.4Q, where P is the market price and Q is the market quantity demanded. Firm 1 uses old technology and has (total) cost of production given by C(q1) = 200 + 15q1, where q1 is the quantity produced by firm 1. Firm 2 has managed to introduce a new technology to lower the per unit cost, and its...
Assume that two firms are in a Cournot oligopoly market. Market demand is P=120 - Q...
Assume that two firms are in a Cournot oligopoly market. Market demand is P=120 - Q where Q isthe aggregate output in the market and P is the price. Firm 1 has the cost function TC(Q1)=30 + 10Q1 and Firm 2 has the cost function TC(Q2)=15 + 20Q2. a) Write down the Profit function of Firm 1: Profit function of Firm 2: b) Using the profit functions in part (a), obtain the reaction function of Firm 1 to Firm 2....
Consider two identical firms competing as Cournot oligopolists in a market with demand p(Q)=100-0.5Q. Both firms...
Consider two identical firms competing as Cournot oligopolists in a market with demand p(Q)=100-0.5Q. Both firms have total costs,TC=10q where 10 is the marginal cost of production. ( Here Q represents total output in the market whereas q represents firm level output.) (b)   Now assume that the firms collude. They again play a one-shot game. What is the output that each firm should produce in order to sustain the collusion? Find the market price, and profits of each firm. Are...
Demand in a market dominated by two firms (a Cournot duopoly) is determined according to: P...
Demand in a market dominated by two firms (a Cournot duopoly) is determined according to: P = 300 – 4(Q1 + Q2), where P is the market price, Q1 is the quantity demanded by Firm 1, and Q2 is the quantity demanded by Firm 2. The marginal cost and average cost for each firm is constant; AC=MC = $77. The cournot-duopoly equilibrium profit for each firm is _____.
Demand in a market dominated by two firms (a Cournot duopoly) is determined according to: P...
Demand in a market dominated by two firms (a Cournot duopoly) is determined according to: P = 300 – 4(Q1 + Q2), where P is the market price, Q1 is the quantity demanded by Firm 1, and Q2 is the quantity demanded by Firm 2. The marginal cost and average cost for each firm is constant; AC=MC = $68. The cournot-duopoly equilibrium profit for each firm is _____. Hint: Write your answer to two decimal places.
3) (Symmetric Cournot) Consider a duopoly facing market demand p(Q) = 90 – 3Q, and assume...
3) (Symmetric Cournot) Consider a duopoly facing market demand p(Q) = 90 – 3Q, and assume each firm has cost function C(q) = 18q. For parts a-d, suppose these two firms engage in Cournot competition – that is, they simultaneously choose a quantity to produce, and then the price adjusts so that markets clear. [Recall that a firm’s Cournot best response function is the quantity that this firm will choose to produce in order to maximize its own profit, for...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT