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

What is the tension in the upper string, Question: The weights shown in the...

Question: The weights shown in the figure are in equilibrium. It consists of objects held by vertical strings. The object 3 weighs 1.4 N. The horizontal bars are identical, uniform

Probability, Consider the two events A and B with P(A) = 0.4 and P(B) = 0.3...

Consider the two events A and B with P(A) = 0.4 and P(B) = 0.3. (a) If A and B are independent then compute the probability that Both A and B happen

Business Research Report Proposal: Initial Research, The initial research p...

The initial research proposal will consist of the following SIX (6) items: 1. Identify a business research topic 2. Define the research questions for the identified problem or opp

Applications of linear regression, Linear regression is widely used in bi...

Linear regression is widely used in biological behavioral and social sciences to describe relationship between variables. It ranks as one of the most important tools used

Word problem, Suppose that cars pass a certain toll booth at an average rat...

Suppose that cars pass a certain toll booth at an average rate of 10 cars per minute between the hours of 7 a.m. and 9 a.m. The random variable X counts the number of cars that pas

Stock control, Two components, A and B, are used as follows: normal usage -...

Two components, A and B, are used as follows: normal usage - 50 per week each minimum usage - 25 per week each maximum usage - 75 per week re-order quantity - A:300; B:500 re-order

Surveys by mailing of questionnaires, The researcher and the respondents d...

The researcher and the respondents do not come in contact with each other if this method of survey is adopted Questionnaires are mailed to the respondents with a request to re

Price level change, how effect changes in prices to a financial statement?

how effect changes in prices to a financial statement?

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