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

Variation Coefficient, Variation Coefficient The standard deviation discus...

Variation Coefficient The standard deviation discussed above is an absolute measure of dispersion. The corresponding relative measure is known as the coefficient of variation. Thi

Data for ogive graph, Data for ogive graph in sectors of indian economy

Data for ogive graph in sectors of indian economy

compare the quality of the different estimations, To illustrate the import...

To illustrate the importance of model selection. We will use only the first four observations to estimate the function f such that ini t. h = f(h. d) for two different models.

Impact of government regulation on managerial decision, Impact of governme...

Impact of government regulation on managerial Decision making Impact of government regulation on managerial Decision making how methods of control can influence market prices.

Sale of an asset on account of depreciation, Write a short note on Sale of ...

Write a short note on Sale of An Asset on account of Depreciation. Ans. An asset can be sold anytime before or after its useful life estimated time, in case the asset is sold more

Limitation of the accounting, Limitation of the Accounting. It informati...

Limitation of the Accounting. It information only accounting purchase, it is restricted to the accounting purchase only, and for example other elements which are not having any

Managing ashaland multicomm service, please give me, example answer managin...

please give me, example answer managing ashland multicomm servicess. tq

Index numbers, what isweight and why is it necerary to calculate its index ...

what isweight and why is it necerary to calculate its index numbet

Draw a scatter diagram relating cigarette, The following data relating ciga...

The following data relating cigarette smoking and death rates for lung cancers in 14 states in the USA. The data are based in part on records concerning 1960 cigarette tax receipts

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