![Exploring Economics](https://www.bartleby.com/isbn_cover_images/9781544336329/9781544336329_smallCoverImage.jpg)
Exploring Economics
8th Edition
ISBN: 9781544336329
Author: Robert L. Sexton
Publisher: SAGE Publications, Inc
expand_more
expand_more
format_list_bulleted
Question
Chapter 15, Problem 14P
To determine
To explain:
The nature of the mutual interdependence between the two firms. Whether a Nash equilibrium is evident.
Expert Solution & Answer
![Check Mark](/static/check-mark.png)
Want to see the full answer?
Check out a sample textbook solution![Blurred answer](/static/blurred-answer.jpg)
Students have asked these similar questions
Problem 5.1. The inverse market demand for printer paper is given by P = 400 – 2Q. There are two firms
who compete to produce this paper, each with a marginal cost of production equal to c = 40 over a large
range of output (ie, assume constant marginal cost). The two firms compete in quantities, in other words
they each simultaneously choose a quantity to produce (Cournot competition).
Derive the Cournot-Nash equilibrium of this game. Please write final answers in the boxes, showing work in
blank areas.
(a) The reaction function for each firm.
91 (92):
92 (91)
(b) Optimal output q for each firm.
92
=
р
=
=
π1 =
(c) Market price (from demand curve).
(d) Firm profits.
92
=
π2 =
O Cell A
O Cell C
O Cell E
O Cell I
None of the above
Two firms, Snow Kings and Ski Express, at Denver International Airport have franchises to
carry passengers to and from the mountains. These two firms compete through advertising. Their
payoff matrix is below. Profits per customer are represented in the following format (Snow
Kings, Ski Express
Snow Kings
Advertise
Don't Advertise
Advertise
25, 15
15, 20
Ski Express
Don't Advertise
30,0
40,5
What combination of strategies achieves the Nash equilibrium in this game?
a) 25,25 (Advertise, Advertise)
b) 15,20 (Advertise, Advertise)
c) 25,0 (Advertise, Don't Advertise)
d) 40,5 (Advertise, Don't Advertise)
Knowledge Booster
Similar questions
- Two firms A and B produce a product jointly. The total value to the two firms from the joint venture is given by V = √iA + √iB where iA and iB are the firms’ respective investment levels. After the investment levels have been chosen, the firms divide V equally. a) Find the Nash equilibrium investment levels, and the payoffs for each firm. b) Suppose that A and B merge. Find the optimal investment levels and the payoffs for the merged firm. Do the firms benefit from the merger? Why?arrow_forwardConsider a market with two firms, Hewlett-Packard (HP) and Dell, that sell printers. Both companies must choose whether to charge a high price ($400) or a low price ($350) for their printers. These price strategies with corresponding profits are depicted in the bavoli matris to the right. HP's profits are in red and Dell's are in blue. Suppose HP and Dell are initially at the game's Nash equilibrium. Then, HP and Dell advertise that they will match any lower price of their competitors. For example, if HP charges $350, then Dell will match that price and also charge $350. What effect will matching prices have on profits (relative to the Nash equilibrium without price matching)? Assuming HP and Dell can coordinate to maximize profits, HP's profit will change by $ and Dell's profit will change by (Enter either positive or negative numeric responses using integers.) Price $400 Dell Price $350 HP Price = $400 Price $350 $80 $90 $80 $20 $20 $50 $90 $50 Garrow_forwardPfizer and a competitor, Astra-Zeneca, are considering developing a new drug for a particular illness at the same time. The illness is relatively rare but the fixed cost of production is very high. In particular, the forecast demand for such a drug is insufficient to cover both firms’ costs. Analyse the interaction between the two firms using game theory. Present a payoff matrix to model the situation and analyse it for Nash equilibrium. What can either of these firms do to make their best, most- preferred outcome more likely?arrow_forward
- Assume that Acme and Gamma are the two main rivals in the market for hair dryers. Each firm is considering prices of $50 or $60, with the following possible profit outcomes: Gamma Price = 50 Price = 60 Price = 50 40, 45 45, 42 Acme Price = 60 24, 55 30, 48 A) Assume the firms choose prices simultaneously. Does the game have a solution? Explain. B) Is the solution you have identified a Nash Equilibrium? Explain why or why not.arrow_forwardConsider a market with two firms, Kellogg and Post, that sell breakfast cereals. Both companies must choose whether to charge a high price ($4.00) or a low price ($2.50) for their cereals. These price strategies, with corresponding profits, are depicted in the payoff matrix to the right. Kellogg's profits are in red and Post's are in blue. Kellogg What is the cooperative equilibrium for this game? Price = $4.00 Price = $2.50 O A. The cooperative equilibrium is for Kellogg to choose a price of $2.50 and Post to choose a price of $4.00. $800 Price = $4.00 $50 %3D O B. The cooperative equilibrium is for Kellogg and Post to both choose a price of $2.50. Post of $4.00. OC. The cooperative equilibrium is for Kellogg and Post to both choose a price $350 O D. The cooperative equilibrium is for Kellogg to choose a price of $4.00 and $350 Price = $2.50 $50 Post to choose a price of $2.50. O E. A cooperative equilibrium does not exist for this game. Clear all Chec 88,092 2 47arrow_forwardConsider a market with two firms, Kellogg and Post, that sell breakfast cereals. Both companies must choose whether to charge a high price ($4.00) or a low price ($2.50) for their cereals. These price strategies, with corresponding profits, are depicted in the payoff matrix to the right. Kellogg's profits are in red and Post's are in blue. Kellogg What is the cooperative equilibrium for this game? $4.00 Price = $2.50 Price = O A. The cooperative equilibrium is for Kellogg to choose a price of $2.50 and $800 $50 Post to choose a price of $4.00. Price = $4.00 $800 %3D OB. The cooperative equilibrium is for Kellogg and Post to both choose a price 006$ of $2.50. Post C. The cooperative equilibrium is for Kellogg and Post to both choose a price of $4.00. Price = $2.50 $350 OD. The cooperative equilibrium is for Kellogg to choose a price of $4.00 and Post to choose a price of $2.50. %3D $50 $350 OE. A cooperative equilibrium does not exist for this game. Is the cooperative equilibrium likely…arrow_forward
- Consider the following hypothetical case. Only BMW and a competitor, Mazda, are considering launching a new, niche HPC in the Asian market. The issue is what price to charge. Both new cars are very similar in performance and production cost. Analyse the interaction between the two firms using game theory. Present a payoff matrix to model the situation and analyse it for Nash equilibrium. What can either of these firms do to make their best, most-preferred outcome more likely?arrow_forwardEconomics Consider two firms that are choosing the price of competing products. The choices are contained in the payoff table. Each firm can raise price, lower price, or maintain their price. Suppose the game is played once each period forever. If both players play the strategy "always lower price" is this a Nash equilibrium? Let b = discount rate, 0 < b <1. Raise price Maintain price Lower price Firm B Raise price Maintain price Lower price 6. 4 8. 8 1.1 5, 5 4, 6 7.2 1.1 3.3 Firm A 2.7 No. because it is dominated by raising the price. No, because it is dominated by both firms raising the price. No, because it is dominated by maintaining the price. Yes.arrow_forwardGoogle and Microsoft are the two dominant firms in the internet search market. They each must decide on whether to have a large budget for research and development (R&D). Their respective payoffs are in the following matrix: Google Microsoft Large R& D Small R& D Large R& D +$30m 0 What is the Nash equilibrium? +$20m +$30m Small R& D +$70m +$50m 0 +$40m Both google and Microsoft have small R&D budgets. There is not a Nash equilibrium because both firms don't have a dominant strategy. Both google and Microsoft have large R&D budgets. Google has a large, and Microsoft a small, R&D budgets.arrow_forward
- Consider a market with two firms, Hewlett-Packard (HP) and Dell, that sell printers. Both companies must choose whether to charge a high price ($500) or a low price ($350) for their printers. These price strategies with corresponding profits are depicted in the payoff matrix to the right. HP's profits are in red and Dell's are in blue. Suppose HP and Dell are initially at the game's Nash equilibrium. Then, HP and Dell advertise that they will match any lower price of their competitors. For example, if HP charges $350, then Dell will match that price and also charge $350. What effect will matching prices have on profits (relative to the Nash equilibrium without price matching)? (Enter either positive or negative numeric HP's profit will change by $ and Dell's profit will change by responses using integers.) Price = $500 Dell Price $350 HP Price = $500 Price = $350 $80 $100 $80 $15 $15 $50 $100 $50arrow_forwardTwo firms produce Bliffs. They compete by simultaneously choosing prices in a single period. The demand for Bliffs is given by P(Q) = 100-2Q where Q is market quantity and P is market price. Firm 1 has costs C1(q1) = 20q1 and Firm 2 has costs C2(q2) = 10q2. Which statement is true? In the Nash equilibrium to the game, both firms play dominated strategies None of the other answers are correct O In the Nash equilibrium to the game, both firms play dominant strategies In the Nash equilibrium to the game, both firms slowly lower prices towards marginal costs O In the Nash equilibrium to the game, both firms set price equal to marginal costarrow_forwardTwo identical firms are engaged in Cournot competition, with cost functionsTCA(QA) = 10 QA and TCB(QB) = 10 QB. The market demand is given by P = 610 –2Q.a) Plot the best response functions and report the Cournot-Nash equilibrium quantities, price and profits.b) What are the prices, quantities, and profits for the firms if they decide to collude and share profits equally? c) Show that firms have an incentive the deviate from the collusive outcome.d) Find the Stackelberg equilibrium if A leads and B follows.e) Show the equilibria in the previous parts on the inverse demand function. Calculate and identify consumer surplus and deadweight loss in each equilibrium..arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Exploring EconomicsEconomicsISBN:9781544336329Author:Robert L. SextonPublisher:SAGE Publications, IncManagerial Economics: A Problem Solving ApproachEconomicsISBN:9781337106665Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike ShorPublisher:Cengage Learning
- Managerial Economics: Applications, Strategies an...EconomicsISBN:9781305506381Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. HarrisPublisher:Cengage Learning
![Text book image](https://www.bartleby.com/isbn_cover_images/9781544336329/9781544336329_smallCoverImage.jpg)
Exploring Economics
Economics
ISBN:9781544336329
Author:Robert L. Sexton
Publisher:SAGE Publications, Inc
![Text book image](https://www.bartleby.com/isbn_cover_images/9781337106665/9781337106665_smallCoverImage.gif)
Managerial Economics: A Problem Solving Approach
Economics
ISBN:9781337106665
Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:Cengage Learning
![Text book image](https://www.bartleby.com/isbn_cover_images/9781285859460/9781285859460_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781305506381/9781305506381_smallCoverImage.gif)
Managerial Economics: Applications, Strategies an...
Economics
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:Cengage Learning
![Text book image](https://www.bartleby.com/isbn_cover_images/9781337613040/9781337613040_smallCoverImage.gif)