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

Economics, #question.what is meant by ppc?illustrate the central problems o...

#question.what is meant by ppc?illustrate the central problems of aneconomy with this curve.

Lori teaches singing. her fixed costs are $1, Price | Quantity demanded ___...

Price | Quantity demanded _________________________ 0 250 50 200 100 150 150 100 200 50 250 0 A) Calculate Lorie''s profit-maximizing output, price, and economic profit. B) Do yo

Microeconomics, INFO: Suppose that a firm is currently employing 20 workers...

INFO: Suppose that a firm is currently employing 20 workers,(the only variable input), at a wage rate of $60. The average product of labor is $30, the last worker added 12 units to

Money and banking., excess reserve make a bank less vulnerable to runs.why

excess reserve make a bank less vulnerable to runs.why

Explain about oligopolistic market, How might a firm in an oligopolistic ma...

How might a firm in an oligopolistic market attempt to increase market share? Explanation of oligopoly; concentration ratio, producer sovereignty Explanation that oligopolie

Economies of scale, what are the limitations of economies of scale?

what are the limitations of economies of scale?

Illustrate the term less developed and developed countries, How might one m...

How might one measure differences in living standards between less developed and developed countries?  This is a very wide question where any clear and relevant calculate shoul

The income elasticity of demand , The income elasticity of demand calculate...

The income elasticity of demand calculates the responsiveness of the quantity demanded of a commodity to changes in consumers' incomes.  This is typically calculated by replacing t

Describe the spatial distribution, Show that a pulsed spherical wave has a ...

Show that a pulsed spherical wave has a complex wavefunction of the form U(r,t) = (1/r)a(t-r/c) where a(t) is an arbitrary function. An ultrashort optical pulse has a complex wavef

Economics for money, 1. Discuss how banks make money, and are structured in...

1. Discuss how banks make money, and are structured in respect to Asset, Liability and Capital Management – give examples.

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