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

Describe time cost of working alters of budget constraint, Suppose that an ...

Suppose that an individual has unearned income of $V and can choose how many hours she works per week at a wage of $w per hour.  Assume that she has a total of 110 hours of time to

Probability, If there are 12 numbered balls in a basket (0-11), and you get...

If there are 12 numbered balls in a basket (0-11), and you get 6 chances to pick a ball what are the odds to get two of the same number, 3 of the same number, 4, 5 and 6. I would

Reproduction rates, Reproduction rates: if the majority of births are thos...

Reproduction rates: if the majority of births are those of boys the population is bound to decrease while the reverse will be the case if the majority of births are girls. Similar

Population, Explain what is meant by population and sample

Explain what is meant by population and sample

Numerical annalysis, the number x = 37.46235 is round off to four significa...

the number x = 37.46235 is round off to four significant figures. compute the absolute error

Histogram , The following figure shows a histogram of the annual maxima of ...

The following figure shows a histogram of the annual maxima of daily rainfall levels (in millimetres) recorded at Maiquetia international airport, Venezuela, for the years 1952 to

Cost accounting test, i need someon to help me do my cost accounting test

i need someon to help me do my cost accounting test

Probability statistics, Probability 3DP, a Luxembourg-based company pla...

Probability 3DP, a Luxembourg-based company plans to develop and sell highly specialized 3D printers. The cost of product development is estimated at EUR 50,000.-, irrespective

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