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

#test, The AM of 10 numbers are 20 and 30 numbers are 60 then find AM of co...

The AM of 10 numbers are 20 and 30 numbers are 60 then find AM of combined data

Penny''s game, (Penney’s game) Independent flips of a biased coin that land...

(Penney’s game) Independent flips of a biased coin that lands on heads with probability 0.7 are made. Each of two players, A and B, had chosen one out of the eight triplet: {HHH, H

Sample space of an experiment, 1.The resumés of 2 males applicants for a co...

1.The resumés of 2 males applicants for a college teaching position in chemistry are places in the same file as the resumés of 2 female applicants. Two positions become available a

Cost accounting, difference between financial statement and annual report ....

difference between financial statement and annual report .

Systematic sampling, Where an element of randomness is introduce by suing r...

Where an element of randomness is introduce by suing random numbers to pick up the unit with which to start this process of sampling is known as systematic sampling.

Hom, (A) Find the binomial probability P(x = 5), where n = 15 and p = 0.50....

(A) Find the binomial probability P(x = 5), where n = 15 and p = 0.50. (B) Set up, without solving, the binomial probability P(x is at most 5) using probability notation. (C) H

Hypotheses testing, Celia is a nurse in a geriatric ward.  She noticed that...

Celia is a nurse in a geriatric ward.  She noticed that older persons in her care are having problems sleeping at night.  She decided to introduce non-pharmocologic ways of relaxat

Ploblem, free hand curve to measure secular trend

free hand curve to measure secular trend

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