Derivation of ordinary demand function, Microeconomics

Derivation Of Ordinary Demand Function:

Suppose, 1675_Derivation Of Ordinary Demand Function.png and q1 = (Q11, Q21,..., Qn1)T. Let M0 be the money income and p0q0 = M0 and p0q0≥ p0q1, where p0q1 is the total expenditure of buying q1 at p0 set of prices. q0 is revealed preferred to q1. Let the set of prices when she buys q1 be p1 = (p11, p12,..., p1n), then q0 is not an available alternative at p1 price. p1q11q0 and M11q0


For simplicity lets consider a two-goods world and at initial prices and money income, budget line is AB, which is shown in the following figure.  According to the axiom, budget line is downward sloping and linear. Suppose the consumer chooses the bundle (x10, x20). Moreover suppose that for given money income M and price of the good two (viz. p2) (i.e., given the intercept of the budget line) p1 decreases. Then 448_Derivation Of Ordinary Demand Function2.png would fall. Now initial budget line is AB becomes flatter with same intercept. None of the commodity bundles on the new budget line are previously available. Therefore, according to weak axiom of revealed preference, consumer can choose any commodity bundle from the new budget line AC. Suppose it is at point V. That means ordinary demand curve can take any algebrical slope. In this case, x1 increases due to fall in p1 for given p2 and M. Ordinary demand curve is downward sloping or, own price effect is negative. Let us show that this own price effect consists of own substitution effect and income effect for a price change by using Slutsky's method, where real income is measured in terms of purchasing power. Given the money income, as p1 decreases, real income increases by which demand for x1 changes. To ignore this, money income reduces proportionately so that real income in terms of purchasing power is constant i.e., after adjustment of money income, the budget line AC shifts parallely downward such that it passes through the original commodity bundle i.e., point z to maintain same purchasing power.   


443_Derivation Of Ordinary Demand Function3.png

 Such a budget line is known as compensated budget line along which real income (in terms of purchasing power) is constant. This is denoted by line A'C' in the diagram. Note that the consumer always chooses a commodity bundle only from the compensated budget line A'C'. But according to weak axiom of revealed preference, consumer can't choose any bundle between A'z since all these bundle are previously available at the budget line AB. But consumer doesn't prefer these as she preferred the bundle z. Therefore, consumer can choose any bundle in between z and C' under constant real income. If the consumer chooses the bundle z, then we have a single quantity of good 1 with two different prices which is not possible in view of the fact that the demand function is single valued. Hence, under the constant real income consumer actually chooses any bundle on the line A'C' right to the point z, say at point T.   

Posted Date: 10/26/2012 3:46:11 AM | Location : United States

Related Discussions:- Derivation of ordinary demand function, Assignment Help, Ask Question on Derivation of ordinary demand function, Get Answer, Expert's Help, Derivation of ordinary demand function Discussions

Write discussion on Derivation of ordinary demand function
Your posts are moderated
Related Questions
The price of petrol fell during the past year. a. Explain why the law of demand applies to petrol just as it does to all other goods and services. b. Explain how the substitu

the diagram used to illustrate abnormal and normal progits

Bank for International Settlements: An international financial regulatory organization based in Switzerland, Bernethat designs international regulations regarding capital adequacy

For the purposes of economic analysis, a normal profit contains the cost of the lost opportunity of the next best option allocation of the firms resources.  In a purely competitive

Give two level of incomes 100$ and 150$ DRAW demand curve for individual a & b and then draw market demand curve for these two different kind of income

for the total product curve why is it when you reach at maximum adding more input leads to decline in output?

Hydrogen, Alkali and Alkaline earth metals Lithium atom and ion are very small and are comparable in sizes to those of Mg. Their polarizing power (charge / radius) are almost t

Labor Productivity  - Labor Productivity and Standard of Living - Consumption can increase if productivity increases. - Determinants of Productivity Stock of capit

The reduced row echelon form of  A=    is equal to R = (a)  What can you say about row 3 of A? Give an example of a possible third row for A. (b)  Determine the values o

what is marginal costs?