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

International financial reporting standards-ifrs, IFRS: IFRS (Internationa...

IFRS: IFRS (International Financial Reporting Standards) is a set of accounting standards that were developed as global standard. The IFRS was developed by IASB (International Acc

What is prime cost, What is prime cost? Primary price is the combin...

What is prime cost? Primary price is the combination of a manufactured item's expenditures of immediate materials and immediate labor. In other words, prime price represent

Calculate the expected profit and probability , An individual has $ 100 ini...

An individual has $ 100 initially. He repeatedly plays a game of chance in which he earns $ 100 with probability 0.8 or loses $ 100 with probability 0.2. The stops playing at the f

Explain the financial accounting., Explain the Financial Accounting. Und...

Explain the Financial Accounting. Under the Financial Accounting System the producing of economic purchase are done in the Cash and Publication, in other Bookkeeping as Sales, P

Determine the average sales, A company prepares dinners for several airline...

A company prepares dinners for several airlines, and sales average 300,000 meals per month. The significant costs of each dinner prepared are for the meat, veg,plastic trays, and u

Simple Linear Regression, One measure of the risk or volatility of an indiv...

One measure of the risk or volatility of an individual stock is the standard deviation of the total return (capital appreciation plus dividends) over several periods of time. Altho

Find the mean and standard deviation, A travel agency surveyed 38 customers...

A travel agency surveyed 38 customers holidaying in Australia who took their spouses on either a skiing or a golfing vacation.  The data comprises amounts (in hundreds of dollars).

Adaptive sampling design, Adaptive sampling design   The sampling de...

Adaptive sampling design   The sampling design in which the method for selecting  the sampling Units on which to make observations might rely on the observed values of the v

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

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