Ask Question, Ask an Expert

+61-413 786 465

info@mywordsolution.com

Ask Business Economics Expert

problem: Consider two firms producing an identical product in a market where the demand is described by p = 1; 200 - 2Y . The corresponding cost functions are c1(y1) = y21 and c2(y2) = 3y22.

(a) State the profit maximization problem of firm 1 and use the first order condition to derive firm 1's reaction function.

(b) State the profit maximization problem of firm 2 and use the first order condition to derive firm 2's reaction function.

(c) Solve the system of reaction functions to identify how much each firm is producing, what is the market quantity, the market price, and the corresponding individual and collective profits.

(d) Assuming that the firms can coordinate their actions, what are the individual quantities produced, the market quantity, the market price, and the resulting joint profits?

(e) How will the firms distribute the joint profits (Hint: Find the minimum amount that each firm is willing to accept and the maximum amount available for each firm under the cartel agreement ). Is this form of cooperation sustainable? describe.

problem: Two firms, producing an identical good, engage in price competition. The cost functions are c1 (y1) = 1:17y1 and c2 (y2) = 1:19y2, correspondingly. The demand function is D(p) = 800 - 50p. The firm that charges the lowest price gets the entire demand, while, if prices are equal, each firm gets exactly one half of the total demand. Firms can only charge prices that correspond to denominations of Canadian dollars (i.e., prices change by one cent).

(a) Suggest an equilibrium pricing scenario (i.e., one price per firm). Given the prices you propose, find the quantities that each firm is selling, the total market quantity, and the corresponding profits. Justify why the prices you propose are equilibrium prices (by showing that NO firm wants to deviate from the prices you propose).

(b) Repeat part (a) assuming that the Canadian economy run out of 1 cent and 5 cent coins (i.e., prices can change only in multiples of twenty-five cents).

problem: Consider a two-player game where player A chooses "Up," or "Down" and player B chooses "Left," "Center," or "Right". Their payo§s are as follows: When player A chooses "Up" and player B chooses "Left" player A gets $5 while player B gets $2. When player A chooses 1"Up" and player B chooses "Center" they get $6 and $1 correspondingly, while when player A chooses "Up" and player B chooses "Right" player A gets $7 while player B gets $3. Moreover, when player A chooses "Down" and player B chooses "Left" they get $6 and $2, while when player A chooses "Down" and player B chooses "Center" they both get $1. Finally, when player A chooses "Down" and player B chooses "Right" player A loses $1 and player B gets $1. Assume that the players decide simultaneously (or, in general, when one makes his decision doesnít know what the other player has chosen).

(a) Draw the strategic form game.

(b) Is there any dominant strategy for any of the players? Justify your answer.

(c) Is there any Nash equilibrium in pure strategies? Justify your answer fully and discuss your result.

When an action is never chosen by a player it is because this action is DOMINATED by another action (or by a combination of other actions). Dominated strategies are assigned a probability of 0 in any Nash Equilibrium in mixed strategies. Given this observation answer the following parts of this problem:

(d) Find the best response functions and the mixed strategies Nash Equilibrium if each player randomizes over his actions.

(e) Show graphically the best responses and the Nash Equilibria (in pure and in mixed strategies).

Business Economics, Economics

  • Category:- Business Economics
  • Reference No.:- M9248

Have any Question? 


Related Questions in Business Economics

A medical researcher is interested in determining whether a

A medical researcher is interested in determining whether a new medication for lung cancer is effective in a group of patients with early-stage disease. Explain what a Type I and Type II error would be in this study. (Be ...

Imagine a small city chambana with a labor demand function

Imagine a small city Chambana with a labor demand function E=200-1/2w and a labor supply function E=2w-100. Assume that there is a sudden influx of 40 perfect substitutes immigrants. a. How does this affect the natives i ...

Income effects depend on the income elasticity of demand

Income effects depend on the income elasticity of demand for each good that you buy. If one of the goods you buy has a negative income elasticity, that is, it is an inferior good, what must be true of the income elastici ...

A mixture of three water samples will test positive for a

A mixture of three water samples will test positive for a contaminant if at least one of the samples contains it. If the contaminant is present in 7% of samples, find the probability that: 1. The mixture tests positive: ...

Equipment maintenance costs for manufacturing

Equipment maintenance costs for manufacturing explosion-proof pressure switches are projected to be $125,000 in year one and increase by 3.5% each year through year five. What is the equivalent annual worth of the mainte ...

A manager has a utility functionnbspunbspnbspcnbsp05nbspif

A manager has a utility function  U  =  C  0.5  if she doesn't work hard and  U  =  C  0.5  - 3 if she does. Expected profit will increase from 1,000 to 1,500 if she works hard. The manager receives compensation  C  equa ...

Tom works for a fruit company and found that the weights of

Tom works for a fruit company and found that the weights of pineapples are normally distributed with mean = 500 grams and standard deviation = 100 grams. a. If he randomly chooses 16 pineapples and measures their weights ...

A person who is hit by lightning had a 14 chance of being

A person who is hit by lightning had a 1/4 chance of being killed. What is the probability that someone who is struck by lightning will live to tell about it?

A tire manufacturer believes its tires will last an average

A tire manufacturer believes its tires will last an average of 48,000 miles, with standard deviation of 2,000 miles. What is the probability that one of these tires, chosen at random, will last at least 50,000 miles?

When comparing monopolization to monopolistic competition

When comparing monopolization to monopolistic competition in the wireless telecommunications world, what are some good differences to touch on in a short paper?

  • 4,153,160 Questions Asked
  • 13,132 Experts
  • 2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

Why might a bank avoid the use of interest rate swaps even

Why might a bank avoid the use of interest rate swaps, even when the institution is exposed to significant interest rate

Describe the difference between zero coupon bonds and

Describe the difference between zero coupon bonds and coupon bonds. Under what conditions will a coupon bond sell at a p

Compute the present value of an annuity of 880 per year

Compute the present value of an annuity of $ 880 per year for 16 years, given a discount rate of 6 percent per annum. As

Compute the present value of an 1150 payment made in ten

Compute the present value of an $1,150 payment made in ten years when the discount rate is 12 percent. (Do not round int

Compute the present value of an annuity of 699 per year

Compute the present value of an annuity of $ 699 per year for 19 years, given a discount rate of 6 percent per annum. As