Derivation of compensated demand curve, Microeconomics

Assignment Help:

Derivation of compensated demand curve: 

Hicksian compensated demand function for x1 is given by x1=x1(p1, p2, U), where Hicksian compensated demand curve for a good represent the relationship between price of that good with its own demand quantity for given prices of other goods and real income in terms of utility.  

 

1522_Derivation of compensated demand curve.png

We now derive this graphically. Suppose,  initial equilibrium is attained at e0 in Figure A where price of good on is p10 and price of good two is p20 respectively and utility is fixed at U0. Corresponding indifference curve is IC0. Compensated Hicksian demand for x1 is at x10. Expenditure line is AB at initial equilibrium with absolute slope p10/p20. Plot this x10 and p10 in Figure B. Suppose, for given utility and p2, p1 decreases to p11. Therefore, absolute slope of the budget line decreases, i.e., expenditure line become flatter. Since utility is constant, the indifference curve remains the same as before. Therefore, expenditure is minimised for given utility at point e1 in Figure A, as indifference curve is downward sloping strictly convex to the origin. So compensated Hicksian demand for good I increases to x11 plot p11 and x11 in Figure B. By joining all such pair of p1 and x1 in Figure B, we have a downward sloping curve in p1-x1 plane, for given p2 and utility. This downward sloping demand curve is the Hicksian compensated demand curve. This is shown in the above Figure B.  


Related Discussions:- Derivation of compensated demand curve

#proposed merger between heinz and beech-nut scrutinized, Who are the compe...

Who are the competitors in the jarred baby food market? What market share do they have? How do Heinz and Beech-Nut compete with one another? Are the barriers to entry high or low f

Why is the goal of stability important to many people, Why is the goal of s...

Why is the goal of stability and security important to many people?  What problems typically emerge during periods of instability? The instability over the business cycle can b

Properties of isoquants, 1. Isoquants are negatively sloped because if...

1. Isoquants are negatively sloped because if the quantity of factor 1 used in production is decreased then the quantity of the other factor must be increased to produce the s

Explain the post-keynesian economics, Q. Explain the Post-Keynesian Economi...

Q. Explain the Post-Keynesian Economics? Post-Keynesian Economics: A modern heterodox school of economic thought that emphasizes more radical or non-neoclassical aspects of Joh

What is corporate governance, What is corporate governance? Why is it impor...

What is corporate governance? Why is it important for board of directors to ensure good corporate governance within a company? Students need to define corporate governance concisel

Effect of effluent fees on the firm input choices, The Effect of Effluent F...

The Effect of Effluent Fees on the Firms' Input Choices *  Firms which have a by-product to production produce an effluent. *  An effluent fee is a per unit fee which firms

Price control, an explanation of the meaning of price ceiling

an explanation of the meaning of price ceiling

Define why prices is significant for economy, Define why prices is signific...

Define why prices is significant for economy Reason for using different weights is that some prices are more significant than others for economy. Price of gasoline, for instanc

Name the actors in the basic neoclassical model of economics, Name the two ...

Name the two actors in the basic neoclassical (or traditional microeconomic) model of economics, and identify the assumptions the model makes of these two actors. Firms and hou

What caused the productivity slowdown, What caused the productivity slowdow...

What caused the productivity slowdown?  Observers have pointed to 4 factors--Oil prices, baby boom, increased problems of economic measurement and environmental protection expe

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