Strategy nash equilibrium, Basic Statistics

Assignment Help:

Consider a population of consumers uniformly distributed along the interval from left-hand (x = 0) to right-hand (x=1). The mass of consumers is 1. There are two firms (F1 and F2) that supply homogrnouse goods. The objective of each firm is to maximize its profit. The price is regulated at p. each of the riems simultaneously chooses its location (i.e. a point on the line between x=0 and x=1). The consumers observe the firm's choice, and then each consumer buys from the firm whose location is closest to the consumer's position on the line. If the two firms locate at a same point, they equally split the consumer demand.

For example, if Fi locates as in the following figure, the left-hand consumers buy from F1 and the right-hand consumers buy from F2.

1. In this case, what is a pure-strategy Nash equilibrium? You must explain how to derive it.

2. When there are three firms, no pure-strategy Nash equilibrium exists. Prove it.

3. When there are four firms, what is a pure-strategy Nash equilibrium? You must explain how to derive it.

1137_Derive the pure strategy Nash equilibrium3.png


Related Discussions:- Strategy nash equilibrium

Management accounting, Defination,Advantages and Limitation, Proper Managem...

Defination,Advantages and Limitation, Proper Management of company,

Earliest due date, Q1.(i)   A manufacturing firm has previously sequenced i...

Q1.(i)   A manufacturing firm has previously sequenced its jobs using the "Shortest Operation Time" (SOT) rule.  This has resulted in poor delivery performance with many jobs being

Ogive, how to draw less than ogive

how to draw less than ogive

Esk jewellery, You are working for the management of ESK Jewellery as a mar...

You are working for the management of ESK Jewellery as a marketing consultant. The main business of ESK Jewellery is the retailing of diamond jewellery. They opened their first sho

Probability, the probability that you win a game is 0.3. if you play the ga...

the probability that you win a game is 0.3. if you play the game 20 times. what is the probability that you will win at least 8 times?

Why is interest expense a no operating expense, Why is interest expense a n...

Why is interest expense a no operating expense? Attention cost is a no operating cost when it is not part of a business's primary functions. For example, a store's primary func

Managerial accounting, Barker Company has a single product called a Zet. Th...

Barker Company has a single product called a Zet. The company normally produces and sells 80,000 Zets each year at a selling price of $40 per unit. The company’s unit costs at this

Biomechanics , what are the biomechanical techniques for swimming freestyle...

what are the biomechanical techniques for swimming freestyle?

Payroll, is about deductions

is about deductions

Write Your Message!

Captcha
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