Find the cournot-nash equilibrium

Assignment Help Microeconomics
Reference no: EM13321699

Suppose that two identical firms produce widgets and that they are the only firms in the market. Their costs are given by C, = 60Ql and C2 = 60Q2" where Ql is the output of Firm 1 and Q2 the output of Firm 2. Price is determined by the following demand curve:

P =300- Q

where Q = Ql + Q­2

a. Find the Cournot-Nash equilibrium. Calculate the profit of each firm at this equilibrium.

b. Suppose the two firms form a cartel to maximize joint profits. How many widgets will be produced? Calculate each firm"s profit.

c. Suppose Firm 1 were the only firm in the industry. How would market output and Firm L"s profit differ from that found in part (b) above?

d. Returning to the duopoly of part (b),suppose Firm 1 abides by the agreement but Firm 2 cheats by increasing production. How many widgets will Firm 2 produce? What will be each firm"s profits?

Reference no: EM13321699

Questions Cloud

Is total factor productivity growth also the most important : Real GDP per hour worked in the United States grew by 2.17% per year from 1949 to 2009, and capital per hour worked grew at the rate of 2.27% per year during the same years.
Calculate the value of the marginal product of capital : Suppose that the production function for the economy is: Assume that real GDP is $12,000 billion, the capital stock is $40,000 billion, and the labor supply is 200 billion hours.
What would be the equilibrium quantity if texas air had : Suppose the airline industry consisted of only two firms: American and Texas Air Corp. Let the two firms have identical cost functions, C(q) = 40q. Assume that the demand curve for the industry is given by P = 100- Q and that each firm expects the ot..
The marginal cost of both firms increases : Suppose that two competing firms, A and B, produce a homogeneous good. Both firms have a marginal cost of MC = $50. Describe what would happen to output and price in each of the following situations if the firms are at (i) Cournot equilibrium, (ii) c..
Find the cournot-nash equilibrium : Returning to the duopoly of part (b),suppose Firm 1 abides by the agreement but Firm 2 cheats by increasing production. How many widgets will Firm 2 produce? What will be each firm"s profits?
Calculate the profit-maximizing price and quantity for this : Suppose a second firm enters the market. Let Ql be the output of the first firm and Q2 be the output of the second. Market demand is now given by Ql + Q2 = 53-P Assuming that this second firm has the same costs as the first, write the profits of each..
Suppose both firms have entered the industry : Suppose both firms have entered the industry. What is the joint profit-maximizing level of output? How much will each firm produce? How would your answer change if the firms have not yet entered the industry?
The kinked demand curve describes price rigidity : The kinked demand curve describes price rigidity. Explain how the model works. What are its limitations? Why does price rigidity occur in oligopolistic markets?
Explain the meaning of a nash equilibrium when firms are : Why is the Cournot equilibrium stable? (i.e., Why don"t firms have any incentive to change their output levels once in equilibrium?) Even if they can"t collude, why don"t firms set their outputs at the joint profit maximizing levels (i.e., the levels..

Reviews

Write a Review

Microeconomics Questions & Answers

  The free rider problem

Question: Explain why the free rider problem makes it difficult for perfectly competitive markets to provide the Pareto efficient level of a public good.

  Failure of the super committee is good thing for economy

Some commentators have argued that the failure of the “Super committee” is good thing for the economy?  Do you agree?

  Case study analysis about optimum resource allocation

Case study analysis about optimum resource allocation: -  Why might you suspect (even without evidence) that the economy might not be able to produce all the schools and clinics the Ministers want? What constraints are there on an economy's productio..

  Fixed cost and vairiable cost

Questions:  :   Which of the following are likely to be fixed costs and which variable costs for a chocolate factory over the course of a month?  Explain your choice.

  Problem - total cost, average cost, marginal cost

Problem - Total Cost, Average Cost, Marginal Cost: -  Complete the following table of costs for a firm.  (Note: enter the figures in the  MC   column  between  outputs of  0 and 1, 1 and 2, 2 and 3, etc.)

  Oligopoly and demand curve problem

Problem based on Oligopoly and demand curve,  Draw and explain the demand curve facing each firm, and given this demand curve, does this mean that firms in the jeans industry do or do not compete against one another?

  Impact of external costs on resource allocation

Explain the impact of external costs and external benefits on resource allocation;  Why are public goods not produced in sufficient quantities by private markets?  Which of the following are examples of public goods (or services)? Delete the incorrec..

  Shifts in demand and movements along the demand curve

Describe the differences between shifts in demand and movements along the demand curve. What are the main factors which can shift the demand curve? Explain why they cause the demand curve to shift. Use examples and draw graphs to support your discuss..

  Article review question

Article Review Question: Read the following excerpts from the article "Fruit, veg costs surge' by Todd, Dagwell, published in the Herald on January 25th 2011 and answer questions below:

  Long-term growth, international trade & globalization

Long-term Growth, International Trade & Globalization:- This question deals with concepts such as long-term growth, international trade and globalization. Questions related to trade deficit, trade surplus, gains from trade, an international trade sce..

  European monetary union (emu) in crisis

"Does the economic bailout of Spain and Greece spell the beginning of the end for the European Monetary Union (EMU)?"

  Development game “settlers of catan”

Read the rules of the game, the overview and the almanac for the Development Game "Settlers of Catan"

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd