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Consumer Behaviour Analysis
Subhalaxmi MohapatraDated:04.08.2011
KIAMS
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Index Utility -Cardinal versus Ordinal utility
Total, average and Marginal Utility Law of diminishing marginal utility
Consumer equilibrium
Consumer surplus
Indifference Curve and its properties
Budget line
Consumer equilibrium
Effect of change in income and priceson consumer equilibrium
Price , Income and Substitution effect
Income consumption curve and Price
consumption curve
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Utility The want satisfying power of commodity
is utility. Same commodity gives different utility
to different consumers.
Even for the same consumer, utilityvaries from unit to unit, from time totime and from place to place.
We measure utility in units called utils
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MEASUREMENT OF UTILITY
Cardinal utility approach
Ordinal utility approach
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Cardinal Utility Approach
Alfred Marshall (1890) introducedthe Cardinal Utility Theory also
known as Marshallian Utility Theory.
Utility is subjective not objective
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Total Utility
Meaning: amount of utility a person derives fromthe consumption of a particular productin a given period.
The sum total of satisfaction which aconsumer derives by consuming thevarious units of a commodity.
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Marginal Utility Defined as the change in total utility resulting from 1 unit
change in the consumption of the good.MU x = TU x / Qx
MU x -- Marginal utilityTU
x change in total utility
Qx change in quantity of good X respectively
MU of nth Unit = TU n - TU n-1
Another way of finding marginal utility is by differentiatingtotal utility function:
MUx = dTU x / dQx
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Total and Marginal Utility Schedules
Number of ice creamsconsumed at a stretch
Total utility
0
1
3
4
2
10
6
7
5
9
8
0.00
15.00
25.00
31.00
35.00
37.50
10.00
4.00
2.50
1.25
0.90
0.80
Marginal utility
39.00
40.25
41.30
42.20
43.00
15.00
6.00
1.05
1.5
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2 4 6 8 10
10
20
30
40
50
Total and Marginal Utility Curves
[i]. Increasing total utility [ii]. Diminishing marginal utility
Quantity of ice creams consumed
15
10
5
20
0 2 4 6 8 100
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The Law of Diminishing Marginal Utility
Statement
For any individual consumer the value that he attachesto successive units of a particular commodity willdiminish steadily as his total consumption of thatcommodity increases, the consumption of all other goodsbeing held constant. (R. G. Lipsey)
The MU declines as a person consumes more of anygood.
TU grows at a slower rate as the MU starts diminishingwith each additional unit consumed.
The diminishing MU is a result of the fact that apersons enjoyment of a good decline as more and moreof the good is consumed.
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Assumptions1) Various units of the goods are
homogeneous.2) No time gap between consumption ofthe different units3) Tastes, preferences and fashionsremain unchanged4) Consumer is rational ( i.e has completeknowledge and maximizes utility)
If the above conditions holds good, law holdsgood universally.
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Maximizing UtilityEquilibrium for one product: (consumption of all
other product remains constant)The consumer will adjust her purchases until themarginal utility of last unit purchased equal tothe price of a unit of that product.
MU = P, Or, MU/P = 1Equilibrium for many products: (Equi MarginalUtility)consumers allocate expenditure among products
so that equal utility is derived from the last unitof money spent on each commodity.
MUx/Px = MUy/Py = -------------- =MUn/ Pn
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Utility Maximizing Rule
In general, utility maximizingconsumer spread out their
expenditure until the followingcondition holds:
(MU x / Px ) = (MU y/ Py)
Another View:
(MU x / MU y) = (Px / Py)
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Consumer Surplus
The concept of consumer surplus was pioneered byMarshall.
According to him, the excess of the price which a
consumer would be willing to pay rather than gowithout a thing over which he actually does pay, is theeconomic measure of his surplus satisfaction.
Thus, consumer surplus can be defined as thedifference between what consumers would like to payfor a product and what they actually pay.
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Ordinal Utility Theory:Indifference Curve Approach
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Assumptions of theTheory
Rationality
Utility is OrdinalConsistency
Transitivity
Non-satiety
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What is an IndifferenceCurve (Equal Utility Curve)
A curve that shows different combinationsof two goods yielding the same level ofutility (satisfaction) to the consumer
Since all points on the curve yield equalsatisfaction, the consumer likes equally allthe combinations, and is thus indifferent
between these combinations.
B dl C f i E l i f i
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Bundle Clothing Food
c
a
b
d
e
f
30
18
13
10
8
7
5
10
15
20
25
30
Bundles Conferring Equal Satisfaction
5 10 15 20 25 30
10
20
30
35Quantity of food
An Indifference Curve
25
15
35
5
a
b
c
d e fh T I
g
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An Indifference Map
A set of indifference curves is calledan indifference map.
The further the curve from theorigin, the higher the level ofsatisfaction it represents.
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Properties of IndifferenceCurve
Indifference curve is downward sloping
Indifference curve is convex to the origin
ICs can do not intersect each other
The further away from the origin an IClies, the higher the level of satisfaction itdenotes
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Marginal Rate ofSubstitution
The marginal rate of substitution of X for Y(MRSx,y ) is defined as the number of units ofgood Y that must be given up in exchange for anextra unit of goodX so that the consumermaintains the same level of satisfaction.
In other words, it shows the rate at which onegood is substituted for another good, whileremaining on the same indifference curve. Thus,
(slope of indifference curve) = -dY / dX = MRS x,y
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Budget (Iso Expenditure) Line
A good is demanded by the consumer ifhe has (i) A preference for that good,and (ii) purchasing power to buy thegood.
His preference pattern is representedby a set of ICs,
His purchasing power depends upon hismoney income and market prices of thegoods.
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Budget (Iso Expenditure) Line (contd.)
Let the consumer has allocated some money to
be spent on goods X and Y, whose prices are Pxand Py , then his purchasing power can berepresented in terms of a budget equation:
Y= Px Qx + Py Qy Budget line Equation
Where Y = Income or expenditure on goods Xand Y
Qx andQy = Quantity of good X and Yrespectively
Px and Py = Prices of good X and Y respectively.The budget equation gives us a budget line.
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Consumer equilibrium
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Income and substitution effect
Substitution Effect:when the price of any product rises,
consumers substitute the product with a lowpriced product.
Income effect:
change in price of a product has an effect onthe purchasing power of the customer. The
decrease in the price enables to buy more ofthe same commodity or some other. Hence,the quantity demanded increases
A I ti Li
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I2
I3
I1
E2
An Income-consumption Line
Quantity of food per week
Quantity
ofclothing
perwe
ek
E3
E1
Income-consumption line
0
Th P i ti Li
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I2
I3
I1
E2
The Price-consumption Line
Quantity of food per week
Quantityofclothing
perweek
E3
E1
Price-consumptionline
b c d
a
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Thank You