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

Aritmetic mean, merits and demerits of arithmetic mean

merits and demerits of arithmetic mean

What is Agency financial reporting system (afrs), What is Agency financial ...

What is Agency financial reporting system (afrs) The state-wide sales system managed by the Workplace of Economical Control. AFRS is the condition of Washington''s established sa

Tandard deviation of the sample of juveniles, The National Marine Fisheries...

The National Marine Fisheries Services is part of the National Oceanic and Atmospheric Administration. NMFS's programs support the conservation and management of living marine reso

Normal distribution, In a mathematics examination the average grade was 82 ...

In a mathematics examination the average grade was 82 and the standard deviation was 5. all students with grade from 88 to 94 received grade of B. if the grade are approximately no

DATA EDITING, THE SIGNIFICANCE OF DATA EDITING

THE SIGNIFICANCE OF DATA EDITING

Estimate the population mean flying time for the pilots, The mean number of...

The mean number of hours of flying time for pilots at Continental Airlines is 49 hours per month (The Wall Street Journal, February 25, 2003). Assume that this mean was based on ac

What is the speed of the block, A prevent of huge m = 10 kg is drawn by a p...

A prevent of huge m = 10 kg is drawn by a power F = 100 N at a position q = 30o with the horizontally along a sleek horizontally exterior. What is the speed of the block? (g = 10 m

Distribution values, find a distribution with 10 values between 0 and 10 th...

find a distribution with 10 values between 0 and 10 that has as large a variance as possible

Material & labour variances, standard material qty per unit- 2 kg standard ...

standard material qty per unit- 2 kg standard price per kg - 4 rs actual value of material purchased- 4000 rs closing stock- 200 kg actual usage- 2.5 kg finished stock sold- 200 u

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