Coornot game is more efficient because the price charged is lower, quantity produced is higher, and the size of the Dead weight loss is a small.
In contrast the stackelberg game has a higher price all over quantity and a higher deadweight loss. For the stackelberg leader the profit is more while for the follower the profit is less in comparison to what the same firn can on in a cournot competition. Both of these firms first select the quantity. Stackelberg is a sequential game where the leader produces first. Cournot competition has both the firms operating and making decisions simultaneously.
4. Think about a Cournot and a Stackelberg game. What do firms choose? Who goes first?...
Compare the duopoly outcomes under the Cournot and Stackelberg games. How do the two firms compete? Are the decisions simultaneous or sequential? In which game are profits higher? Which game is more efficient–i.e. leads to a higher quantity and a lower price–when the two firms have the same cost functions?
Problem 4. Cournot Competition With Different Costs Suppose there are two firms engaged in quantity cornpetition. The demand is P = 2-Q where Q qi + 92. Assunie c.-1 and c2 =丨, ie.. Firm 2 is more efficient. Compute the Cournot equilibrium (i.e., quantities, price, and profits)
5. (i) Consider a Cournot quantity setting game of simultaneous moves. Solve for the rationalizable strategies (quantities) for the two firms that simultaneously choose quantities to produce, which then determines the price at which the produced goods will sell. The marginal cost of production is 4 for firml and 2 for firm 2. P = 40-91-92 Find the equilibrium price and the profits of each firm. (15) ii) Now model the game as a sequential move game where firm 1...
(5 pts) When firms choose quantities of output, as in the Cournot model, what happens to the marginal revenue of the firm when the rival increases its quantity? When firms choose prices, as in the Bertrand model with differentiated products, what happens to the marginal revenue of the firm when the rival increases its price? How is this related to the slopes of the reaction functions in the Cournot and Bertrand models?
3. We will examine the idea of oligopolies in this problem. The examples here will be based on the ideas of competition over quantity for identical goods (i.e. Cournot and Stackelberg) (a) (4 points) We begin with a 3 firm oligopoly and the assumption that each firm is using the minimal efficient scale, i.e. the lowest cost production method. Let market demand be P(Q) = 1200 5Q where Q 2 + 3. Assume each firm has a cost of C(qa)...
2. In class we discussed the Stackelberg market competition model in the case where there were two firms sequentially announcing their production quantities qı and q2. Recal that we assumed the firms wish to maximize profit (which equals revenue minus cost) The cost to firm i to produce q, units is cq, and the per unit sales price when Q q2 units are produced in total is P(Q)-α-Q if Q-α and zero otherwise. We assume Suppose now there are three...
Two firms (A and B) play a simultaneous-move quantity competition game (i.e. Cournot competition) in which they can choose any Qi ∊ [0, ). The firms have cost functions C(Qi) = 10Qi + 0.5Qi^2, and thus MCi = 10 + Qi. They face a market demand curve of P = 220 – (QA + QB) and have MRi = 220 – 2Qi – Q-i. a. What is firm A’s profit as a function of QA and QB? b. What is...
Consider the following game. Firm 1, the leader, selects an output q1, after which firm 2, the follower, observes the choice of q1, and then selects its own output, q2. The resulting price is one satisfying the industry demand curve P=200-q1-q2. Both firms have zero fixed costs and a constant marginal cost of c=60. Derive the equation for the follower firm’s best response function. Draw this equation on a graph with q2, on the vertical axis and q1 on the...
1. Consider a Cournot game between two firms. The firms face an inverse demand function described by the equation P(Q) = α − Q if Q ≤ α, P(Q) = 0 if Q > α, where P is the price of output and Q is the total output produced by the two firms. Firm 1 produces its output q1 at a constant unit cost c1 (i.e, the total cost to firm 1 of producing q1 units of output is c1q1)....
1.Consider an industry with only two firms that produce identical products. Each of the firms only incurs a fixed cost of $1000 to produce and marginal cost is 20. The market demand function is as follows: Q=q1+q2=400-P a. Assuming that the firms form a cartel, calculate the profit-maximizing quantity of output, price and profits b. If the firms choose to behave as in the Cournot model, what would be the profit- maximizing quantities of output, price and profits? c. if...