Lecture 2Utility Analysis of Demand
Theory of Demand• Theory of demand explains  – Relation ship between commodity demanded and its    price  – Variations in ...
Marginal Utility• Marginal utility can be defined as  – The change in the total utility resulting from a    one-unit chang...
Basic Assumptions of Marginal Utility Analysis• Cardinal Measurement of Utility    – Utility can be measured and the exact...
Law of Diminishing Marginal Utility• Marshall states the law as:  – The additional benefit a person derives from a    give...
Example            Units (Toasts)                Total Utility     Marginal Utility                                       ...
Graphical representation of example25201510                                      1 5                                      ...
DMU Curve
Limitations of the Law• Suitable Units   – It is assumed that commodity is taken in suitable units. If not     suitable th...
Limitations of the Law• Rare Collection   – This law does not hold in case of rare collections   – e.g in case of collecti...
Importance of the Law• Taxation    – This law forms the basis of theory and practice of taxation    – Progressive system o...
Law of Equi-Marginal Utility• According to this law  – A consumer is in equilibrium when he distributes    his given money...
Assumptions• The main assumptions of the law of equi-  marginal utility are as under:  – Independent utilities.     • The ...
Explanation of the Law• The law of equi-marginal utility is simply an  extension of the law of diminishing marginal utilit...
Explanation• Every consumer has unlimited wants. However, the income at his  disposal at any time is limited.   – The cons...
ExampleSuppose a person has Rs.5 with him which he wishes to spend on twocommodities, tea and cigarettes. The marginal uti...
Explanation of Example• If the prudent consumer    – spends Rs. 5.00 on the purchase of tea, he gets 30 utility.    – If h...
Diagram• MU is the marginal utility curve for tea•   KL is marginal utility of cigarette•    When a consumer spends OP amo...
Limitations of the Law•   Effect of fashions and customs    – The law of equi-marginal utility may become inoperative if p...
Importance of the Law•    The application of the principle of substitution extends over almost every    field of economic ...
Consumer’s Equilibrium• Suppose there are two goods x and y on which the consumer  has to spend his given income. The cons...
Demand• It is necessary to distinguish between demand and  desire or need   – e.g. a sickly child needs a tonic, a peon de...
Types of Demand• Price Demand  – Price demand refers to the various quantities of a    commodity or service that a consume...
Demand Curve
Law of Demand• A rise in price of a commodity or service is followed by a reduction in demand a fall in price is followed ...
Limitations of the Law• Change in taste or fashion   – Fashion has gone out so less demand even with decrease in price• Ch...
Derivation in of Demand Curve• Consumer’s equilibrium   – Mux/Px=MUy/Py=MUn/Pn=MUm• If price of ‘X’ falls• The equation wo...
Causes of Changes in Demand•   Changes in tastes, preference, fashion•   Climate or weather changes•   Changes in size of ...
Short comings of Utility Analysis• Unsound Psychology    – Market demand is an objective phenomenon while utility theorist...
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Lecture 2

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Lecture 2

  1. 1. Lecture 2Utility Analysis of Demand
  2. 2. Theory of Demand• Theory of demand explains – Relation ship between commodity demanded and its price – Variations in demand• There are different approaches known to the economists relating to theory of demand• The oldest among them is marginal utility approach
  3. 3. Marginal Utility• Marginal utility can be defined as – The change in the total utility resulting from a one-unit change in the consumption of a commodity per unit of time• Marginal Utility – MU=Change in total utility Change in quantity consumed
  4. 4. Basic Assumptions of Marginal Utility Analysis• Cardinal Measurement of Utility – Utility can be measured and the exact measurement can be given by assigning definite numbers e.g. 1, 2, 3…etc. – A person can express the satisfaction derived from the consumption of a commodity in quantitative terms• Utilities are independent – Utilities derived from one commodity is independent of other – The satisfaction derived from the consumption of one good is not affected by consumption of another good – Total utility is simply the sum total of the separate utilities of all the goods consumed by the consumers• Constant Marginal Utility of Money – Marginal utility of money remains constant even though the money with the consumer is decreased by successive purchases made by him• Introspection – From one’s own experience it is possible to draw inference about another person – It means that mind of men work identically in similar situation
  5. 5. Law of Diminishing Marginal Utility• Marshall states the law as: – The additional benefit a person derives from a given increase of his stock of a thing diminishes with every increase in stock that he already has
  6. 6. Example Units (Toasts) Total Utility Marginal Utility (Units of (Units of Satisfaction) Satisfaction) 1 20 20 2 38 18 3 53 15 4 64 11 5 70 6 6 70 0 7 62 -8 8 46 -16 Suppose a person starts eating pieces of bread one after another. The additional satisfaction will go on decreasing with every successive toast till it drops down to zero.
  7. 7. Graphical representation of example25201510 1 5 Marginal Utility 0 0 -5 1 2 3 4 5 6 7 8-10-15-20
  8. 8. DMU Curve
  9. 9. Limitations of the Law• Suitable Units – It is assumed that commodity is taken in suitable units. If not suitable then MU may increase instead of falling. – e.g spoon of water or glass of water.• Suitable Time – Commodity is taken within suitable time otherwise law will not apply – e.g taking a glass of water after an hour• No change in Consumer’s Tastes – No change of consumer’s taste otherwise law will not apply• Normal Persons – Law of MU applies to normal persons and not to abnormal persons• Constant Income – It is essential that income of a person remains constant
  10. 10. Limitations of the Law• Rare Collection – This law does not hold in case of rare collections – e.g in case of collection of ancient coins utility increases with having more coins• Change in Other People’s Stock – Changes in other people’s stock may increase MU. – e.g utility of my telephone increases as the number of connection increases• Other Possessions – Utility also depends on other possessions we have – e.g a carriage may be lying useless with us, but as soon as we are able to buy a horse, its utility goes up• Fashion – The utility of my dress goes up when that dress comes in fashion• Not applicable to money – The law does not apply to money. More money one has, the more one wants
  11. 11. Importance of the Law• Taxation – This law forms the basis of theory and practice of taxation – Progressive system of Taxation • Richer the person, higher is the rate of tax as MU of money to him is less• Price Determination – The law explains why, with increase in its supply, the value of commodity must fall – It thus, forms basis of the theory of value• Household expenditure – This law governs our daily life. Larger purchase will mean lower MU. – Therefore, we restrict ourselves to particular commodity• Downward sloping Demand Curve – This law tells us why demand curve slopes downwards• Value-in-use and value-in-exchange – This law explains the divergence between value-in-use and value-in-exchange – E.g air has great utility (value in use) but little (value in exchange), because it has no MU• Socialism – The socialist argue on the basis of this law – The MU of the wealth, that rich might lose, to rich is not so great while to MU to this amount is great
  12. 12. Law of Equi-Marginal Utility• According to this law – A consumer is in equilibrium when he distributes his given money income among various goods in such a way that marginal utility derived from the past rupee spent on each good is the same
  13. 13. Assumptions• The main assumptions of the law of equi- marginal utility are as under: – Independent utilities. • The marginal utilities of different commodities are independent of each other and diminishes with more and more purchases. – Constant marginal utility of money. • The marginal utility of money remains constant to the consumer as he spends more and more of it on the purchases of goods. – Utility is cardinally measurable. – Every consumer is rational in the purchase of goods. – Limited money income. • A consumer has limited amount of money income to spend.
  14. 14. Explanation of the Law• The law of equi-marginal utility is simply an extension of the law of diminishing marginal utility to two or more than two commodities.• The law of equi-marginal, is known, by various names. – Law of Substitution, the – Law of Maximum Satisfaction, – Law of Indifference,
  15. 15. Explanation• Every consumer has unlimited wants. However, the income at his disposal at any time is limited. – The consumer is therefore, faced with a choice among many commodities that he can and would like to pay – He therefore, consciously or unconsciously compares the satisfaction which he obtains from the purchase of the commodity and the price which he pays for it – As he buys more and more of that commodity, the utility of the successive units begins to diminish – He stops further purchase of the commodity at a point where the marginal utility of the commodity and its price are just equal.• The consumer will maximize total utility from his given income when the utility from the last rupee spent on each good is the same.
  16. 16. ExampleSuppose a person has Rs.5 with him which he wishes to spend on twocommodities, tea and cigarettes. The marginal utility derived from both thesecommodities is as under: Units of Money MU of Tea MU of Cigarettes 1 10 12 2 8 10 3 6 8 4 4 6 5 2 3 Rs.5 Total Utility = 30 Total Utility = 39
  17. 17. Explanation of Example• If the prudent consumer – spends Rs. 5.00 on the purchase of tea, he gets 30 utility. – If he spends Rs. 5.00 on the purchase of cigarettes, the total utility derived is 39 which is higher than tea• By spending Rs. 4.00 on tea and Rs. 1.00 on cigarettes, he gets 40 utility (10+8+6+4+12=40)• By spending Rs. 3.00 on tea and Rs. 2.00 on cigarettes, he derives 46 Utility (10+8+6+12+10=46)• By spending Rs. 2.00 on tea and Rs. 3.00 on cigarettes, he gets 48 utility (10+8+12+10+8=48)• By spending Rs. 1.00 on tea and Rs. 4.00 on cigarettes, he gets 46 utility (10+12+10+8+6=46)
  18. 18. Diagram• MU is the marginal utility curve for tea• KL is marginal utility of cigarette• When a consumer spends OP amount (Rs.2) on tea and OC (Rs.3) on cigarettes, the marginal utility derived from the consumption of both the items (Tea and Cigarettes) is equal to 8 units (EP=NC).• The consumer gets the maximum utility when he spends Rs. 2.00 on tea and Rs. 3.00 on cigarettes and by no other alteration in the expenditure.
  19. 19. Limitations of the Law• Effect of fashions and customs – The law of equi-marginal utility may become inoperative if people forced by fashions and customs spend money on the purchase of those commodities which they clearly know yield less utility but they cannot transfer the unit of money from the less advantageous uses to the more advantageous uses because they are forced by the customs of the country• Ignorance or Carelessness – Sometimes people due to their ignorance of price or carelessness to weigh the utility of the purchased commodity do not obtain the maximum advantage by equating the marginal utility in all the uses• Indivisible Units – If the goods are not divisible to equalise MUs, then again the law may become inoperative.• Unlimited Resources• This law does not have apply where there are unlimited resources• Basic Assumptions – This law rests upon some questionable assumptions – E.g we assume that utility can be added and compared while MU of money remains constant
  20. 20. Importance of the Law• The application of the principle of substitution extends over almost every field of economic enquiry. – Every consumer consciously or unconsciously trying to get the maximum satisfaction from his limited resources acts upon this principle of substitution. Same is the case with the producer. – In the field of exchange and in theory of distribution too, this law plays a vital role. In short, despite its limitation, the law of maximum satisfaction is meaningful general statement of how consumers behave• It applies equally to the theory of production and theory of distribution. – it is applied on the substitution of various factors of production to the point where marginal return from all the factors are equal. – The government can also use this analysis for evaluation of its different economic prices• The equal marginal rule also guides an individual in the spending of his saving on different types of assets.• The law of equal marginal utility also guides an individual in the allocation of his time between work and leisure• In short, despite limitations the law of substitution is applicable to all problems of allocation of scarce resources
  21. 21. Consumer’s Equilibrium• Suppose there are two goods x and y on which the consumer has to spend his given income. The consumer’s behavior is based on two factors: – Marginal Utilities of goods x and y‘ – The prices of goods x and y‘ – The consumer is in equilibrium position when marginal utility of money expenditure on each good is the same.• The consumer is in equilibrium in respect of the purchases of goods x and y when: – MUx = MUy • Where MU is Marginal Utility and P equals Price Px Py – If MUx / Px and MUy / Py are not equal and MUx / Px is greater than • MUy / Py, then the consumer will substitute good x for good y. • As a result the marginal utility of good x will fall.
  22. 22. Demand• It is necessary to distinguish between demand and desire or need – e.g. a sickly child needs a tonic, a peon desires to have a TV set – Such needs and desires do not constitute demand – Willing to pay and able to pay constitute demand• Demand for any thing at a given price is the amount of it which will be bought per unit of time at that price – It simply means that how much a person will be willing to buy of a commodity at a certain price in set of possible prices during some specified period of time – Demand is always per unit of time e.g. per day, per week, per month etc.
  23. 23. Types of Demand• Price Demand – Price demand refers to the various quantities of a commodity or service that a consumer would purchase at a given time in a market at various hypothetical prices• Income Demand – The income demand refers to the various quantities of goods and services purchased by the consumers at various levels of income• Cross Demand – The cross demand means the quantities of a good or service which will be purchased with reference to change in price not of this good but of other inter-related goods – These goods are either substitutes or complementary goods
  24. 24. Demand Curve
  25. 25. Law of Demand• A rise in price of a commodity or service is followed by a reduction in demand a fall in price is followed by an increase in demand, if conditions of demand remain constant – These conditions relate to the consumer’s tastes, his income, prices of other goods, possibility of other substitutes, unexpected price change etc.
  26. 26. Limitations of the Law• Change in taste or fashion – Fashion has gone out so less demand even with decrease in price• Change in income – Increase in income may have increased in demand though prices have gone up• Change in other’s prices – Decrease in coffee’s price may lead to decrease in demand of tea• Discovery of substitutes – E.g CNG Vs Petrol• Anticipatory changes in prices – Anticipation that prices will may rise leads to more demand even with increase in price• Mark of distinction – Rich demands more with price increase because it can be considered as mark of distinction
  27. 27. Derivation in of Demand Curve• Consumer’s equilibrium – Mux/Px=MUy/Py=MUn/Pn=MUm• If price of ‘X’ falls• The equation would be disturbed• The equality can be restored by purchasing more of ‘X’• This means that as price of goods falls, its demand increases
  28. 28. Causes of Changes in Demand• Changes in tastes, preference, fashion• Climate or weather changes• Changes in size of composition of population• Changes in money supply• Change in price of a commodity• Change in level of distribution of income• Change in savings• Change in asset preferences• Conditions of trade• Exceptions or anticipations
  29. 29. Short comings of Utility Analysis• Unsound Psychology – Market demand is an objective phenomenon while utility theorist try to explain it in terms of desire, motivation etc.• Cardinal Measurement – Not possible• Wrong Assumption of Independent Utilities – Utilities are interdependent – E.g increase in demand of pen would lead to increase in demand of paper• Income effect and substitution effect not brought out – Income increased due to fall in price – Income increase due to fall in price of substitution• Assumption of Constant Marginal Utility of Money is Wrong• Applies to one-commodity world• Assumes too much and explains too little
  30. 30. Thank You

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