Firm 1 Chooses output and Firm 2 follows suit.Given that the followers best reaction Function (BR2(q1)q1- c(q1)
-Assume market demand is P(Q)=a-bQ=a-b(q1+q2)
-Assuming also two identical firms with marginal cost m and no fixed costs
c(qi)=cqi where i= Firm 1 or Firm 2 and Q=q1 or q2
QUESTION: Calculate profit maximization output of each firm where Firm 1 is a Stackelberg Leader.
We need at least 10 more requests to produce the answer.
0 / 10 have requested this problem solution
The more requests, the faster the answer.
In the Stackelberg model we saw in class there were two firms 1 and 2. Suppose that the market demand is p(Q) = 60−Q, where as in class Q is the aggregate quantity. The const function for firm 1 is c1(q1) = 10q1 and the cost function for firm 2 is c2(q2) = q2. Firm 1 is the leader and Firm 2 is the follower. (a) Solve for the follow’s reaction function, and the leader’s maximization problem. (b) Describe the...
PROBLEM #1 Consider a market with two firms that sell products that are identical. Su market demand is as follows: P-56-Q , where Q measures the total output produced by both firms (that is, Q=q +q.) and qi and q, are the quantities produced by firm 1 and firm 2, respectively. The per-unit cost of production is $6 for each firm, and so the firm's cost functions are 6q, and 6q, respectively. Each firm seeks to maximize profits. The firms...
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...
Reference the following information about the market demand function for questions 1 to 15. These questions are on different types of market structures – monopoly, perfect competition, Cournot oligopoly market, and the Stackelberg oligopoly market. The market demand function is given the following equation: P = 1600 – Q where Q is the industry’s output level. Suppose initially this market is served by a single firm. Let the total cost function of this firm be given the function C(Q) =...
Exercise 11.3 Consider the following duopoly model. There are two firms sup- plying a market where demand is given by p(Q)- a-bQ. Firm i produces qi units of output and so the total level of production is q1q2. Both firms face the same constant marginal cost, so the cost of producing qi for firm i įs cqỉ. Thus the profit functions of firms 1 and 2 respectively, are given by: (a) Suppose that each firm takes the output of the...
1. Consider two Cournot duopolists. Each firm sells a homogenous product and has a MC = c per unit, and no fixed costs. Market demand is P = a−bQ, where market quantity sold Q = q1 +q2, where q1 is firm 1’s output and q2 is firm 2’s output. Each firm simultaneously chooses its quantity to sell, then lets price clear the market. a. What is firm 1’s best response function (or reaction function)? b. Solve for the profit maximising...
imagine a market comprising two competing firms 1&2 which produce an identical product . the inverse demand function of the latter is p = 102 – Q, where Q = Q1 + Q2 , Qi = output of firm I (i=1,2) lastly , the cost of production equals TC(Qi)= 2 Qi . if the two firms choose Qi simultaneously , and only once , with a view to maximize their respective profit , find the nash equilibrium (Firm 1, firm...
Reference the following information about the market demand function for questions 1 to 15. These questions are on different types of market structures – monopoly, perfect competition, Cournot oligopoly market, and the Stackelberg oligopoly market. The market demand function is given the following equation: P = 1600 – Q where Q is the industry’s output level. Suppose initially this market is served by a single firm. Let the total cost function of this firm be given the function C(Q) =...
Two firms are participating in a Stackelberg duopoly. The demand function in the market is given by Q = 2000 − 2P. Firm 1’s total cost is given by C1(q1) = (q1) 2 and Firm 2’s total cost is given by C2(q2) = 100q2. Firm 1 is the leader and Firm 2 is the follower. (1) Write down the inverse demand function and the maximization problem for Firm 1 given that Firm 2 is expected to produce R2(q1). (2) Compute...
Consider a Stackelberg price-leader duopoly. There are two firms: A leader and a follower. Assume marginal cost to be zero. The market demand is given as: p = a-bq: Show that: (a) The leaders profit-maximizing output q is the same as a monopolist in this market. But, the leaders profit and the market price are lower compared to monopoly. The followers output is one-half the output of the leader. (b)Leaders output is lower than when two firms behave as Cournot...