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

Spectrum, example for pure and impure spectrum

example for pure and impure spectrum

Probablity, a fair die is thrown 3 times.let X1,X2,X3 denote results of 3 t...

a fair die is thrown 3 times.let X1,X2,X3 denote results of 3 throws.what is the probablity that p[X1>X2+X3]

Variability, the purpose of measures of variability

the purpose of measures of variability

10-k report information, Where are Cash Equivalents and Marketable Securiti...

Where are Cash Equivalents and Marketable Securities noted on a 10-K report? What needs to be included as a minimum disclosure?

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

Regression analysis, Data was gathered on a group of ninth grade students. ...

Data was gathered on a group of ninth grade students. Some students have been diagnosed with a learning disability.  All students were measured on conduct, attention, hyperactivity

Sampling, What is the sampling and it importance in daily routain life. Exp...

What is the sampling and it importance in daily routain life. Explain stratify sampling

A congruential unit random number generator, Suppose the arrival times of p...

Suppose the arrival times of phone calls in a help centre follow a Poisson process with rate 20 per hour (so the inter-arrival times are independent exponential random variables).

IFRS, I am currently doing a report on IRFS and have to identify the the is...

I am currently doing a report on IRFS and have to identify the the issues involved with businesses adopting IRFS

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