Income Effect, Price Effect and Substitution Effect on consumer,s equilibrium (with graph)

 All these effect can change the consumer equilibrium,in this context ,we will see the effect on consumer,s equilibrium if there is change in:

i) consumer,s income

ii) prices of commodity

iii) substitusion effect,

these all effect are work in the presence of ,normal goods,inferior goods, giffon goods.

Now we see about the different kinds of goods.

Normal goods:---------are those goods on which law of demand is applicable.if there prices increases----demand decreases and vice versa according the law of demand

Inferior goods:------a good----the demand for which falls when consumer,s income rise,-----Or-----when price of that good increase as compare with its substitution.

Example:-------as in the case of beaf &mutton ------when income increases or the prices of beaf increase the demand of beaf will falls becoz as compare with mutton beaf is inferior good.

Giffen goods:----goods which do not obey the “law of demand”

This idea was presented by sir robbert giffen of great Britain (1837-1910)

as in laboring class in Britain” when prices of bread (main item of their diet) rise their bread consumption also rise (they are forced to curtail their consumption of meat). When the bread price decline then the bread-consumption also decline (&they tend to buy meat)

after this discussion now we explain the different kinds of  “effects”

1:-------- income effect

Definition:----the effect on consumer,s equilibrium due to change in income while prices of “x” & “y” do not change is said to be “income effect”

Assumption:--(i)---there is change in income.

                       (ii)----- prices are remain the same of both commodity “x” & “y”

                       (iii)----both goods in this diagram x & y are normal.x

·        We suppose that I=10.  px=2.     py=1. Consumer is in equi-librium at E2 on IC2, where AA is tanget to IC2 and’ he purchase Ox1 of X-----AND Oy1of Y.

·        If consumer,s income increases and I=20 px=2 ,py=1(both are same), the “BL” sift upward as “BB” now equ At E3 on IC3, and purchasing is Ox3 of x And Oy3 of Y.

·        If consumer,s income decreases and I=5 px=2 ,py=1(same as in assumptions). Now the “BL” shift down ward. Equilibrium at IC1 on E1.

By joing the points E1, E2 AND E3 we get The “income consumption curve” (ICC)

Income effect in case of inferior good. Good which is cheaper ,as case of beef and mutton ,if the income of consumer rises,------he reduces the chases of inferior good which is-----“beaf” in this situation ICC will bend toward Y axis----- or

If good “x” is inferior

As shown in the diagram when income increases the equilibrium move from E1 to E2 he increase the purchases of superior good “Y” and decreases of “X” becoz -------X----- is inferior good.

If good “y” is inferior

as shown in the diagram when income increases the equilibrium move from E1 to E2 he increase the purchases of superior good “X” and decreases of “Y” becoz -------Y----- is inferior good.

Finally we reproduce all these possible shapes of ICCs in a single diagram as under---in this diagram

ICC1 shows both X and Y normal good

ICC2 shows X inferior & Y superiorgood

ICC3 shows X superior & Y inferior goods

ICC4 shows X constant & Y normal goods

ICC5 shows Y constant & X normal goods

Properties of (ICC)

1):---All ICCs start from the origin.

Becoz with zero income the consumer can not purchase any positive amount of x and y

2):-------An ICC intersect each only once

3):-------CCs derieved from the same indifference map can never intersect each other

2:-------- price effect OR price changes and

                                “Consumer equilibrium”

Definitions:

Price effect-The effect on consumer equilibrium due to change in price of goods “x” while the price,s of other commodity’ “y” and income remain the unchanged ,that effect is said to be “price effect”

Price consumption curve (PCC)- The locus of all successive equilibrium point is known as (PCC)---

                               -OR---by joining the equilibrium points E0,E1, E2 we get PCC)

Assumptions:-i)The price of “x’ changes and the price of “y” remain the same

                              ii)There is no change in income.

Now we explain the price effect with the help of diagram.we start with the information,

i)--- I=10    px =2    and py=1.

 As a result we get the basic budget line which is “AA” this is tangent to IC1 at E1.hance consumer purchases Ox1 of “x” commodity

ii)if----- I=10    px =2    and py=1(price of X falls from 2 to 1).

Resultantly the budget line rotates downward to Xaxis in the from of AB.here the consumer is in equilibrium at E2where AB is tangent to IC2, & purchasing is Ox1 of “x”

ii) ----- I=10    px =4    and py=1(the price of X rises).

As a result the budget line rotates leftward in the form of “AC’ the consumer is know I equilibrium at E0 ,where AC is tangent to IC0,purchasing is Ox0 of  X.

By joining all equilibrium , points E0, E1, E2, we have price consumption curve (PCC)

Properties:----i) ---The PCC intersect each IC only once.

                       ii)---The PCC sloped negatively downward which shows

                       “lower the price----more will be demand and vice versa”.

3:--------substitution effect

Defination: ------by substitution effect mean “that effects on consumer,s equi-librium in condition of PX. decline and consumer,s rises the purchasing of commodity’ of “X” but as regard to assumption, there is no increase in his real-income ------and he remnants on the similar indifference curve:

To understand his concept in a easier way

We explain the “theme and methodology” of substitution effect.

Theme: ----consumer remain at the same indifference curve---or--- he get two equilibrium points at the same (one) indifference curve (if price of X falls)

Methodology: --------this method is attributed to late sir Jhon Hicks.

For this purpose he introduced the “income compensation variation “method.in which The increase in real income (which occour due to decrease in price of x) will have to be cancelled or being “offset”

---------------------------------by drawing a line CC which is parallel to (BL)-----AB.

So the consumer has change the commodity bundle but he remain at the same (IC)

He increases the purchasing of x by reducing y-----as from X1 to X2.-----this is (SE)

Explanation: ------

Now we explain the substitution effect with the help of diagram

In this diagram when

·           I=10          px=2     & py=1

We get the budget line (AA).the consumer is in equilibrium at E1purchasing Ox1 of x

We suppose that when:

·           I=10          px=1     & py=1

As a result the AB is the new BL .as we concerned with the SE of price of fall.there fore we will offset the real increase in income by illustration of a new budget-line CC(according to the method asdescribe by J.R.HICKS) ,and we sketch a new’ budget-line which is parallel─to the budget-line AB. this budget-line is tan-gent to the same’ IC at E2-point.consequently, the consumer,s purchase’s OX2 of X OY0 ofY.

Result: --- Thus the increase in purchases of X (by reducing of Y)----- fromX1to X2 IS (SE). While no change in consumer,s real-income and he remain,s on the same-IC.

Prove that PE=SE+IE

This analysis is attributed to Sir Jhon Hicks who proved the price effect is the result of substitution effect and income effect ----------We here also present this in case of

1:-----normal good--- (following the law of demand)

2:-----inferior good--- (following the law of demand) as in the case of cheaper goods.if thee prices decreases demand increases but not as effectively as in normal goods

Relationship between price effect,s substitution effect, and income effect------  in the case of (normal goods)

We can examined the relationship between these with trhe help of this diagram-----

In the digram basic equilibrium takes place at E1 where consumer purchases Ox1 of X.

Price effect: --- now we suppose that price of X falls, whicw result in new BL--- (AC) .

Here consumer is in equilibrium at G where IC2 is tanget to AC.hance, consumer purchases OX3 of X.accordingly  PE= 0X1to 0X3=3 to 9=6as

PE.

PX

QX

3

1

3

9

 

It is clear when PX decreases QX increases.now we see that PE is Composed of IE and SE.

Substitution effect: ---to find the substitution effect we draw the line MN which is parallel to the AC.this line is drawn with the view of-----offsetting----the increase in real income(which become possible due to fall in PX) so that he could remain at the same IC.Accordingly, the decrease in real income is shown by the difference AM.this decrease in income is by the method of “income compensation variation as J.R.Hicks has introduced earlier. The line MN is now tanget to the same (previous) indifference curve IC1,so according the Hicksian approach we can deduce the SE =0X1 to OX2=3Tto 5= 2 The movement from E to F is due to SE.

SE.

PX'

QX

3

1

3

5

 

Income effect:THe movement fromF to G is due to IE;  IE=      0X2 to OX3=5  to 9=4

Conclusion:- price effect = substitution effect +income effect

OX1-----OX3

        3-9

OX1-------OX2

          3----5

+OX2----OX3

+ 5-9                    6=6

 

Prove that PE=IE+SE(in case of   Inferior good)

In this figure, we follow’ the similar procedure other than with one diff-erence. Once more, the product X price is declines foremost to a substitution with regard to the product,s i.e. movements from (A TO B), with more being-consumed “X1 TO X2”. Though, there is a negative income-effect, dissimilar the prior example’, and this shows that a movement’ from (B TO C )with less being-consumed, “X2 to X3”

         Even though there is a negative income effect, in this case, it is never enough to compensate the substitution-effect, which shows that generally there is still more’ of the product,s demanded as the consumer,s has moved from “X1 to X3”. Simply, the product “x” demand-curve is remain sloping down-ward. It is probable, though, for the inverse income-effect to be satisfactorily larger to compensate the substitution-effect.

SE =X1 TO X2

IE =X2 TO X3

PE =X1 TO X3

Prove that PE=IE+SE(in case of   Giffen good)

A situation which refers by Giffen good, where the substitution-effect is compensate by the negative-income-effect and this situation can-be seen─in the diagram where,s the total of the price change effect disclose that the total amount of the product-demanded declines “X1 TO X3” as the product-price decline.

PE =X1 TO X3

SE =X1 TO X2

IE =X2 TO X3

In this condition the demand-curve is up-ward sloping─from left to ‘-right “a positive slope” and this particular form of demand-curve relate,s to a kind of product which is referred to as’ a Giffen-good. The Giffen-good “so named later than a nine-teenth century economist,s Sir Robert giffen” is one whetre demand decline as the product price decline and vice-versa. For certain very low income groups, potatoes may from an important part of their total expenditure. Therefore, if the price of potatoes falls this group, finding that their real income has increased, may substitute products such as meat for potatoes-thus reducing their demand for potatoes.

 

 

 

 

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