2. Consider a market with inverse demand P (Q) = 100 - Q. Assume there are...
2. Consider a market with inverse demand P (Q) = 100 - Q. Assume there are two different duopolies serving it. Duopoly D1 has two firms having unit costs c1 = 6 and c2 = 2, and duopoly D2 has two (symmetric) firms both having unit cost c = 4.
(a) Find the Cournot equilibrium in each duopoly.
(b) Compare the equilibrium total outputs and market prices in the two duopolies.
(c) Compare the equilibrium consumer surplus, total firm revenue, total production cost, and producer surplus (or total profit) in the two duopolies.
(d) Which of the two duopolies is preferable to consumers? To society as a whole?
Provide an economic intuition for the result.
(Hint. Calculate total production costs at the Cournot equ. and compare them).
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2. Consider a market with inverse demand P (Q) = 100 - Q. Assume
there are...
1. Consider a market with inverse demand P(Q) = 100 Q and two firms with cost...
1. Consider a market with inverse demand P(Q) = 100 Q and two firms with cost function C(q) = 20q. (A) Find the Stackelberg equilibrium outputs, price and total profits (with firm 1 as the leader). (B) Compare total profits, consumer surplus and social welfare under Stackelberg and Cournot (just say which is bigger). (C) Are the comparisons intuitively expected? 2. Consider the infinite repetition of the n-firm Bertrand game. Find the set of discount factors for which full collusion...
1. Consider a three firm (n = 3) Cournot oligopoly. The market inverse demand function is p (Q) = 24 Q. Firm 1 has constant average and marginal costs of $12 per unit, while firms 2 and 3 have constan...
1. Consider a three firm (n = 3) Cournot oligopoly. The market inverse demand function is p (Q) = 24 Q. Firm 1 has constant average and marginal costs of $12 per unit, while firms 2 and 3 have constant average and marginal costs of $15 per unit. a)Verify that the following are Nash equilibrium quantities for this market: q1 = 9 / 2 and q2 = q3 = 3 / 2 . b)How much profit does each firm earn...
Problem 1: Suppose that the market demand function is given by q-80-2p. All firms in the...
Problem 1: Suppose that the market demand function is given by q-80-2p. All firms in the industry have marginal cost of 10 and no fixed cost. In this problem, the firms compete in quantities. (a) What is the equilibrium price, quantity, consumer surplus, profit (producer surplus) and deadweight loss if there is only one firm in the industry? (b) Now answer the same question if there are two firms in the industry (duopoly). How does your answer compare to the...
Consider an (inverse) demand curve P = 30 - Q. And a total cost curve of...
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Let demand for car batteries be such that Q = 100 − 2P. Assume constant marginal...
Let demand for car batteries be such that Q = 100 − 2P. Assume constant marginal costs of 15. Compute the equilibrium price, quantity, consumer surplus, producer surplus and if relevant deadweight loss for: i. A perfectly competitive firm ii. A monopoly iii. Two firms engaged in Cournot Competition. iv. Two firms engaged in Bertrand Competition
Let demand for car batteries be such that Q= 100-2p. Assume constant marginal costs of 15....
Let demand for car batteries be such that Q= 100-2p. Assume constant marginal costs of 15. Compute the equilibrium price, quantity, consumer surplus, producer surplus and if relevant deadweight loss for: 1. Two firms engaged in Cournot Competition. 2. Two firms engaged in Bertrand competition.
Consider a market with a demand curve given (in inverse form) by P(Q) = 80 – 0.25Q
Part 1 Consider a market with a demand curve given (in inverse form) by P(Q) = 80 – 0.25Q, where Q is total market output and P is the price of the good. Two firms compete in this market by simultaneously choosing quantities q1 and q2 (where q1 + q2 = Q). This is an example of Choose one: A. Stackelberg competition. B. Cournot competition. C. Bertrand competition. D. perfect competition.Part 2 Now suppose the cost of production is constant at $50.00 per unit (and is the same...
2*. Consider a market with two firms where the inverse demand function is given by p...
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...
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...
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...
Problem 1: Suppose that the market demand function is given by q-80-2p. All firms in the industry have marginal cost of 10 and no fixed cost. In this problem, the firms compete in quantities. (a) What is the equilibrium price, quantity, consumer surplus, profit (producer surplus) and deadweight loss if there is only one firm in the industry? (b) Now answer the same question if there are two firms in the industry (duopoly). How does your answer compare to the...
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