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

Time series, explain tthe two uses of time serie, and the four components o...

explain tthe two uses of time serie, and the four components of time series?

Example of inference, Q. Example of inference? Ans. Thirty student...

Q. Example of inference? Ans. Thirty students from a college were surveyed and classified according to two variables: (1) gender (M/F) and (2) major (liberal arts, busines

Asked in genpact interview, Expenses a/c. Dr. To vendor a/c. Cr. What is a...

Expenses a/c. Dr. To vendor a/c. Cr. What is an impact of this transaction on business

Calculate the rates of return and standard deviations, 1. Stock A and B hav...

1. Stock A and B have the following probability distributions: ECONONOMY                    PROBABILITY                      K(A)                       K(B) Boom

Calculate and interpret, U.S. College presidents have described alcohol abu...

U.S. College presidents have described alcohol abuse as the number one problem on campus.  How common is it?  As a super crackerjack student, you conducted a survey of 17,096 stude

What does a bookkeeper do?, What does a bookkeeper do? An accountant is ...

What does a bookkeeper do? An accountant is responsible for handling the documents for a business's dealings. Ultimately the dealings will be registered in records within the bu

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