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

Momentum and energy, Momentum and Energy Statement 1: If there is a defin...

Momentum and Energy Statement 1: If there is a definite force there is a definite displacement, which means that work is done definitely by the force. And Statement 2: The wor

Accounting and finance for managers , From the following cost, production...

From the following cost, production and sales data of Decors Motor Ltd., prepare comparative income statement for three years under (i) absorption costing method, and (ii) marginal

Joy, Ask questio How many women must be randomly selected to estimate the m...

Ask questio How many women must be randomly selected to estimate the mean weight of women in one age group? We want 90% confidence that the sample mean is within 3.7 lbs of the po

Calculate the standard error and confidence interval, 1. You have a regiona...

1. You have a regional country-year dataset over 10 years of 150 total observations, within this data you have 25 observations where the ruling party has lost power. (a) Assumin

Hypothesis testing, a clinical psychologist claims that on average, at leas...

a clinical psychologist claims that on average, at least twenty five clients visit her per week. for a random sample of 8 weeks, the following numbers of clients were recorded; 25

Expansion 0f solid, state the advantage of expansion of solid

state the advantage of expansion of solid

Abdullahi, why should cofficient of variation be used to compare the disper...

why should cofficient of variation be used to compare the dispersion?

Question from inventory, CASE STUDY 1 3 MARKS An audit of the...

CASE STUDY 1 3 MARKS An audit of the accounting records of Loch Ness Ltd. for the year ending 30 June 2012 discovered that the ending inventory balance

Simple random sample, A simple random sample of n = 300 full-time workers i...

A simple random sample of n = 300 full-time workers is selected from a company list containing the names of all n = 5000 full-time workers in order to evaluate job satisfaction. Gi

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