Question

2) Consider the Stackelberg Model of Duopoly in the class slides. Assume that Firm 1 and...

2) Consider the Stackelberg Model of Duopoly in the class slides. Assume that Firm 1 and Firm 2 have different marginal costs of productions—that is, Firm 1’s marginal cost of production is c1 and Firm 2’s is c2. Under this assumption, answer the following questions.

i) Let Firm 1 choose its quantity first. Find Firm 2’s reaction function and the backwards-induction outcome of the game. Also, find the profit of each firm at the backwards-induction outcome.

ii) Let Firm 2 choose its quantity first. Find Firm 1’s reaction function and the backwards-induction outcome of the game. Also, find the profit of each firm at the backwards-induction outcome.

0 0
Add a comment Improve this question Transcribed image text
Know the answer?
Add Answer to:
2) Consider the Stackelberg Model of Duopoly in the class slides. Assume that Firm 1 and...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • In the Stackelberg model we saw in class there were two firms 1 and 2. Suppose...

    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...

  • Two firms are participating in a Stackelberg duopoly. The demand function in the market is given...

    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 duopoly Cournot game, where Firm 1 and Firm 2 have the same marginal cost...

    Consider a duopoly Cournot game, where Firm 1 and Firm 2 have the same marginal cost of production c = 3. The total quantity produced by the firms is Q. The demand function is p(Q) = 84 − Q. a.) Write down Firm 1’s profit function. b.) * Calculate Firm 1’s best-response function. c.) * Find the pure-strategy Cournot-Nash equilibrium of this game. d.) * Show that the firms make strictly positive profit in equilibrium. e.) Explain intuitively why the...

  • 2. (Cournot Model) Consider a Cournot duopoly. The market demand is p=160 - q2. Firm 1's...

    2. (Cournot Model) Consider a Cournot duopoly. The market demand is p=160 - q2. Firm 1's marginal cost is 10, and firm 2's marginal cost is also 10. There are no fixed costs. A. Derive each firm's best response function B. What is the Nash equilibrium of this model? Find the equilibrium market price. C. Find the equilibrium profit for each firm D. Find the equilibrium consumer surplus in this market. 3. (Bertrand Model) Consider a Bertrand duopoly. The market...

  • In Cournot duopoly , the inverse demand function is P=150-Q Firm 1 and Firm costs are...

    In Cournot duopoly , the inverse demand function is P=150-Q Firm 1 and Firm costs are C1=1000+12q1 and C2=2000+6q2 What is the profit maximization , best reaction function to find Nash equilibrium Price

  • Consider a Stackelberg duopoly with a homogeneous product where market demand is given by P =...

    Consider a Stackelberg duopoly with a homogeneous product where market demand is given by P = 1 - Q = 1 - q1 - q2. Firm 1 produces one unit of output using one unit of labor and one unit of a raw material. Firm 2 produces one unit of output using two units of labor and one unit of the raw material. The unit costs of labor and the raw material are w and r respectively. The timing of...

  • Cournot vs. Stackelberg Oligopoly Suppose the inverse demand function and the cost functions for two duopolists...

    Cournot vs. Stackelberg Oligopoly Suppose the inverse demand function and the cost functions for two duopolists are given by: P = 100 – (Q1 + Q2)             C1(Q1) = 2Q1             C2(Q2) = 2Q2 a. Cournot: Assume two Cournot duopolists. i. What is firm 1’s Quantity and Profit? R1 = (100-Q1-Q2) * Q1 R1 = 100Q1 - Q12 - Q2Q1 MR1 = 100 - 2Q1 - Q2 C1(Q1) = 2Q1 MC1 = 2 MR1 = MC1 ii. What is firm 2’s Quantity...

  • 2. (15 pts) Consider a Stackelberg duopoly game of quantity competition in U.S. cigarettes between Philip...

    2. (15 pts) Consider a Stackelberg duopoly game of quantity competition in U.S. cigarettes between Philip Morris (PM, biggest brand is Marlboro) and RJ Reynolds (RJR, biggest brand is Camel). Philip Morris is the leader, and Reynolds is the follower. (We will obviously ignore state-minimum pricing and taxes for this question.) Market demand is described by the inverse demand function P 12 0.005Q. Each firm has a constant unit cost of production equal to 2. Prices are in S/pack, and...

  • 6. Entry Deterrence 2: Consider the Cournot duopoly game with demand p= 100 - (qı+q2) and...

    6. Entry Deterrence 2: Consider the Cournot duopoly game with demand p= 100 - (qı+q2) and variable costs c;(q;) = 0 for i € {1, 2}. The twist is that there is now a fixed cost of production k > 0 that is the same for both firms. Assume first that both firms choose their quantities simultaneously. Model this as a normal-form game. b. Write down the firm's best-response function for k = 1000 and solve for a pure-strategy Nash...

  • 4. A Consider Cournot model of oligopoly where each firm simultaneously makes a quantity decision. Let...

    4. A Consider Cournot model of oligopoly where each firm simultaneously makes a quantity decision. Let yi and y2 denote the quantities 1 and 2, respectively. Let P(Y) = 100-Y be the market-clearing price when the aggregate quantity on the market is Y y1 +y2. Assume that the cost function of firm 1 and firm 2 are as follows. C1(n)-60y1 and C2(2) 60y2. (a) Write down the profit function of firm 1 and firm 2. (of a homogeneous product) produced...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT