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    Consumer Demand Theory

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    3 Basic Assumptions

    Each consumer has complete information on

    all matters pertaining to consumer decisions

    The consumer knows the range of goods available

    in the market and the capacity of the good to

    satisfy human wants

    The exact price of each good is known.

    The consumer knows his income during theplanning period

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    3 Basic Assumptions

    Given the 3 assumptions, each consumer tries

    to maximize utility/satisfaction/happiness

    given a limited income.

    Utility the satisfaction a consumer derives

    from whatever good/service he/she

    consumes. This is the basis of choice.

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    Two Approaches

    Marginal Utility Approach

    Indifference Curve Approach

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    Marginal Utility Approach

    Assumption: Utility is measurable andquantifiable

    Util a measure of pleasure or satisfaction

    Total Utility (TU) Total utility is the total utilitya consumer derives from the consumption ofall of the units of a good or a combination of

    goods over a given consumption period,ceteris paribus.

    Total utility = Sum of marginal utilities

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    Marginal Utility Approach

    Marginal utility is the utility a consumer

    derives from the last unit of a consumer good

    she or he consumes (during a given

    consumption period), ceteris paribus.

    - the slope of total utility curve

    Q

    TUMU

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    Hall & Leiberman; Economics:Principles And Applications,

    2004

    7

    Total Utility and Marginal Utility

    No of cones Total utility Marginal Utility

    0 0 utils

    1 30 utils 30 utils

    2 50 utils 20 utils

    3 60 utils 10 utils

    4 65 utils 5 utils

    5 68 utils 3 utils

    6 69 utils 1 utils

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    Hall & Leiberman; Economics:Principles And Applications,

    2004

    8

    Total And Marginal Utility

    Total Utility

    Marginal Utility

    Utils 302010

    Ice Cream Cones per Week1 2 3 4 5 6

    Utils

    605040

    70

    30

    2010

    Ice Cream Cones per Week1 2 3 4 5 6

    1. The change in total utilityfromone more ice cream cone . . .

    2. is called the marginalutility

    of an additional cone.

    3. Marginal utility falls

    as more cones areconsumed.

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    Total and Marginal Utility for Ice Cream

    Q ($) TU ($) MU

    0 0

    1 40 40

    2 85 45

    3 120 35

    4 140 20

    5 150 10

    6 157 7

    7 160 38 160 0

    9 155 -5

    10 145 -10

    145

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    Total Utility

    0

    50

    100

    150

    200

    1 2 3 4 5 6 7 8 9 10 11

    ($) MU

    -20

    -10

    0

    10

    20

    30

    40

    50

    1 2 3 4 5 6 7 8 9 1 11

    Q ($) TU ($) MU

    0 0

    1 40 40

    2 85 45

    3 120 35

    4 140 205 150 10

    6 157 7

    7 160 3

    8 160 0

    9 155 -5

    10 145 -10

    145

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    Total Utility and Marginal Utility

    Saturation point a point where increase in

    consumption of unit of a good, total utility did

    not increase.

    In the schedule it is between 7 and 8

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    The Law of Diminishing Marginal Utility

    Over a given consumption period, as more and more of

    a good is consumed by a consumer, beyond a certain

    point, the marginal utility of additional units begins tofall.

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    CONSUMER SURPLUS

    = the gap between the total utility of a good and itstotal market value

    The surplus arises because we receive more

    than we pay for, it is rooted in the law ofdiminishing marginal utility

    we pay for each unit what the last unit is worthbut by the law of diminishing marginal utility the

    earlier units are worth more to us than the lastthus, we enjoy a surplus of utility on each ofthese earlier units

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    Consumer Surplus

    The difference between what a consumer is

    willing to pay for an addition unit of a good

    and the market price that he/she actually pays

    is referred to as consumer surplus.

    The area between the demand curve and the

    price (line) measures the total consumer

    surplus.

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    Consumer Surplus

    Price

    D

    Qx

    0

    P

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    Diamond/Water Paradox

    The things with the greatest value use

    frequently have little or no value in exchange,

    and

    The things with the greatest value in exchange

    frequently have little or no value in use.

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    Diamond/Water Paradox

    Why is water which is essential to life so cheap

    while diamonds which are not essential to life

    so expensive?

    Water has a great use value but low exchange

    value because supply is abundant.

    Even at a price of zero we do not consume an

    infinite amount of water. We consume up to

    the point where MU drops to zero.

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    Diamond/Water Paradox

    Diamond low use value but high exchange

    value.

    low supply MU tends to be very high

    willing to pay a high price

    Price of the good is determined by the MU of

    the last unit of a good not by the TU.

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    Indifference Curve Analysis

    1881 Francis Y. Edgeworth, British

    Economist, introduced the IC technique

    1906 IC technique was adopted by an Italian

    Economist, Vilfredo Pareto

    1930s 2 British Economists: John R. Hicks

    and Roy George Douglas Allen popularized the

    IC technique

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    Assumptions on the nature of

    consumer preferences

    Preferences are complete.

    The consumer is able to set up a preference

    ranking of the combinations available.

    X > Y X is preferred over Y

    Y>X Y is preferred over X

    X Y indifferent between X and Y

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    Assumptions on the nature of

    consumer preferences

    Preferences are transitive.

    The consumer makes choices that are consistent

    with each other.

    A > B, B>C therefore, A>C

    More is better.

    The consumer prefers more of any goods or

    services to less of it because more goods orservices give her a higher level of satisfaction

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    THE THEORY OF CONSUMERCHOICE

    22

    Preferences: What the Consumer Wants

    Quantity

    of Fish

    Quantity

    of Mangos

    Indifference curve:

    shows consumptionbundles that give the

    consumer the same

    level of satisfaction

    A consumption bundle is aparticular combination of the

    goods, e.g., 40 fish & 300

    mangos.

    A, B, and all other bundleson I1 makes a person

    equally happy the person

    is indifferentbetween them.

    I1

    Indifference curve

    B

    A

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    THE THEORY OF CONSUMERCHOICE

    23

    Four Properties of Indifference Curves

    Quantity

    of Fish

    Quantity

    of Mangos

    If the quantity offish is reduced,

    the quantity of

    mangos must be

    increased to keep theperson equally happy.

    A

    Indifference curve

    I1

    1. Indifference curvesare downward-

    sloping.

    B

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    THE THEORY OF CONSUMERCHOICE

    24

    Four Properties of Indifference Curves

    Quantity

    of Fish

    Quantity

    of Mangos

    He prefers every bundleon I2 (like C)

    to every bundle on I1

    (like A).

    Indifference curves

    I1

    I2

    I0

    D

    2. Higher indifferencecurves are preferred

    to lower ones.

    He prefers every bundleon I1 (like A)

    to every bundle on I0

    (like D).

    C

    A

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    THE THEORY OF CONSUMERCHOICE

    25

    Four Properties of Indifference Curves

    Quantity

    of Fish

    Quantity

    of Mangos

    If it did, it violates the

    transitivity assumption.

    A B both are onI1A C - both are on I4

    Therefore, B C not true

    because C > A

    Indifference curves

    I1

    3. Indifference curvescannot cross.

    B

    C

    I4

    A

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    THE THEORY OF CONSUMERCHOICE

    26

    Four Properties of Indifference Curves

    Quantity

    of Fish

    Quantity

    of Mangos

    He is willing to give up

    more mangos for a fish ifhe has few fish (A) than

    if he has many (B).

    4. Indifference curvesare bowed inward.

    I1

    1

    1

    6

    2

    A

    B

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    THE THEORY OF CONSUMERCHOICE

    27

    The Marginal Rate of Substitution

    Quantity

    of Fish

    Quantity

    of Mangos

    MRS is the amount of

    mangos he would

    substitute for another

    fish. I1

    1

    1

    6

    2

    A

    B

    Marginal rate of

    substitution (MRS):

    the rate at which a consumer

    is willing to trade one good for

    another.

    MRS = is the

    negative of theslope of

    indifference curve

    MRS =

    MRS =

    MRS falls as you move down

    along an indifference curve.

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    THE THEORY OF CONSUMERCHOICE

    28

    One Extreme Case: Perfect SubstitutesPerfect substitutes: two goods with straight-

    line indifference curves,constant MRS

    Example: nickels & dimes

    Consumer is always willing to tradetwo nickels for one dime.

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    THE THEORY OF CONSUMERCHOICE

    29

    Another Extreme Case: Perfect Complements

    Perfect complements: two goods with

    right-angle indifference curvesExample: Left shoes, right shoes

    {7 left shoes, 5 right shoes}

    is just as good as

    {5 left shoes, 5 right shoes}

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    Less Extreme Cases:

    Close Substitutes and Close Complements

    Quantity

    of Coke

    Quantity

    of Pepsi

    Indifference

    curves for close

    substitutes are

    not very bowed

    Quantity

    of hot dogs

    Quantity

    of hot dog

    buns

    Indifference

    curves for

    close

    complements

    are very bowed

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    THE THEORY OF CONSUMERCHOICE

    31

    The Budget Constraint:

    What the Consumer Can Afford

    Example:Hurley divides his income between two goods:

    fish and mangos.

    Budget constraint: the limit on the consumption

    bundles that a consumer can afford

    Shift in the budget constraint:

    1. change in income

    2. change in the price/s of the goods

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    Hurleys income: $1200Prices: PF = $4 per fish, PM = $1 per mango

    A. If Hurley spends all his income on fish,

    how many fish does he buy?

    B. If Hurley spends all his income on mangos,

    how many mangos does he buy?

    C. If Hurley buys 100 fish, how many mangos can he

    buy?

    D. Plot each of the bundles from parts AC on a

    graph that measures fish on the horizontal axis and

    mangos on the vertical, connect the dots.

    A C T I V E L E A R N I N G 1

    Budget Constraint

    32

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    A. $1200/$4

    = 300fish

    B. $1200/$1= 1200

    mangos

    C. 100fish cost

    $400,$800 left

    buys 800

    mangos

    A C T I V E L E A R N I N G 1

    Answers

    Quantity

    of Fish

    Quantity of

    Mangos

    A

    B

    C

    D. Hurleys budget

    constraint shows thebundles he can

    afford.

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    THE THEORY OF CONSUMERCHOICE

    34

    The Slope of the Budget Constraint

    Quantity

    of Fish

    Quantity of

    Mangos

    D

    From C to D,

    rise =

    200 mangos

    run =

    +50 fishSlope = 4

    Hurley must

    give up

    4 mangos

    to get one fish.

    C

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    THE THEORY OF CONSUMERCHOICE

    35

    The Slope of the Budget Constraint

    The slope of the budget constraint equals

    the rate at which Hurley

    can trade mangos for fish

    the opportunity cost of fish in terms of mangos

    the relative price of fish:$

    $

    price of fish 44 mangos per fish

    price of mangos 1

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    Show what happens to Hurleys budget constraint if:

    A. His income falls to $800.

    B. The price of mangos rises to

    PM = $2 per mango

    A C T I V E L E A R N I N G 2

    Budget constraint, continued.

    36

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    Now,Hurley

    can buy

    $800/$4

    = 200 fishor

    $800/$1

    = 800 mangos

    or any

    combination in

    between.

    A C T I V E L E A R N I N G 2

    Answers, part A

    Quantity

    of Fish

    Quantity of

    Mangos

    A fall in income

    shifts the budgetconstraint down.

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    Hurley

    can still buy

    300 fish.

    But now he

    can only buy$1200/$2 =

    600 mangos.

    Notice:

    slope is smaller,relative price of

    fish is now only 2

    mangos.

    A C T I V E L E A R N I N G 2

    Answers, part B

    Quantity

    of Fish

    Quantity of

    Mangos

    An increase in the

    price of one goodpivots the budget

    constraint inward.

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    THE THEORY OF CONSUMERCHOICE

    39

    Optimization: What the Consumer Chooses

    Quantity

    of Fish

    Quantity

    of Mangos

    1200

    600

    300150

    A is the optimum:

    the point on thebudget constraint

    that touches the

    highest possible

    indifference curve.

    Hurley prefers B to A,

    but he cannot afford B. A

    C

    D

    Hurley can afford C

    and D,

    but A is on a higher

    indifference curve.

    B

    The optimum

    is the bundleHurley most

    prefers out of all

    the bundles he

    can afford.

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    THE THEORY OF CONSUMERCHOICE

    40

    Optimization: What the Consumer Chooses

    Quantity

    of Fish

    Quantity

    of Mangos

    1200

    600

    300150

    At the optimum,

    slope of the

    indifference curve

    equals

    slope of the budget

    constraint:

    MRS = PF/PM A

    marginalvalue of fish

    (in terms of

    mangos)

    price of fish

    (in terms of

    mangos)

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    THE THEORY OF CONSUMERCHOICE 41

    The Effects of an Increase in Income

    Quantity

    of Fish

    Quantity

    of Mangos

    An increase in

    income shifts the

    budget constraint

    outward.

    If both goods are

    normal, Hurley

    buys more of each.

    A

    B

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    An increase in income increases the quantitydemanded ofnormal goods and reduces the

    quantity demanded ofinferior goods.

    Suppose fish is a normal goodbut mangos are an inferior good.

    Use a diagram to show the effects of

    an increase in income on Hurleys optimalbundle of fish and mangos.

    A C T I V E L E A R N I N G 3

    Inferior vs. normal goods

    42

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    A C T I V E L E A R N I N G 3

    Answers

    43

    Quantity

    of Fish

    Quantity

    of Mangos

    If mangos are

    inferior, the new

    optimum will contain

    fewer mangos.

    AB

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    THE THEORY OF CONSUMERCHOICE 44

    500

    350

    The Effects of a Price Change

    Quantity

    of Fish

    Quantity

    of Mangos

    1200

    600

    300150 600

    initial

    optimum

    newoptimum

    Initially,

    PF = $4

    PM = $1

    PF falls to $2budget constraint

    rotates outward,

    Hurley buys

    more fish andfewer mangos.

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    THE THEORY OF CONSUMERCHOICE 45

    A fall in the price of fish has two effects on

    Hurleys optimal consumption of both goods. Income effect

    A fall in PFboosts the purchasing power of Hurleys

    income, allows him to buy more mangos and more fish.

    Substitution effect

    A fall in PF makes mangos more expensive relative to fish,

    causes Hurley to buy fewer mangos & more fish.

    Notice: The net effect on mangos is ambiguous.

    The Income and Substitution Effects

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    THE THEORY OF CONSUMERCHOICE 46

    The Income and Substitution Effects

    Initial

    optimum at A.

    PF falls.

    Substitution effect:

    from A to B,buy more fish and

    fewer mangos.

    Income effect:

    from B to C,buy more of both

    goods. Quantityof Fish

    Quantity

    of Mangos

    A

    B

    C

    In this example,

    the net effect on

    mangos is

    negative.

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    Do you think the substitution effect would bebigger for substitutes or complements?

    Draw an indifference curve for Coke and Pepsi, and,

    on a separate graph, one for hot dogs and hot dogbuns.

    On each graph, show the effects of a relative price

    change (keeping the consumer on the initialindifference curve).

    A C T I V E L E A R N I N G 4

    The substitution effect in two cases

    47

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    But the substitution effect is bigger for substitutesthan complements.

    A C T I V E L E A R N I N G 4

    Answers

    Quantity

    of Coke

    Quantity

    of Pepsi

    In both graphs, the relative price changes bythe same amount.

    Quantity

    of hot dogs

    Quantity of

    hot dog buns

    A

    B

    A B

    Deriving Hurleys Demand Curve for Fish

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    $2 DFish

    Deriving Hurley s Demand Curve for Fish

    350 Quantity

    of Fish

    Quantity

    of Mangos

    Quantity

    of Fish

    Price of

    Fish

    150

    AB

    150

    $4A

    350

    B

    49

    A: When PF = $4, Hurley demands 150 fish.B: When PF = $2, Hurley demands 350 fish.

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    THE THEORY OF CONSUMERCHOICE 50

    Application 1: Giffen Goods

    Do all goods obey the Law of Demand?

    Suppose the goods are potatoes and meat,

    and potatoes are an inferior good.

    If price of potatoes rises, substitution effect: buy less potatoes

    income effect: buy more potatoes

    If income effect > substitution effect,then potatoes are a Giffen good, a good for which an

    increase in price raises the quantity demanded.

    Application 1:

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    THE THEORY OF CONSUMERCHOICE 51

    Application 1:

    Giffen Goods

    A li ti 2 W d L b S l

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    THE THEORY OF CONSUMERCHOICE 52

    Application 2: Wages and Labor Supply

    Budget constraint

    Shows a persons tradeoff between consumption andleisure.

    Depends on how much time she has to divide between

    leisure and working.

    The relative price of an hour of leisure is the amount of

    consumption she could buy with an hours wages.

    Indifference curve

    Shows bundles of consumption and leisure

    that give her the same level of satisfaction.

    A li ti 2 W d L b S l

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    THE THEORY OF CONSUMERCHOICE 53

    Application 2: Wages and Labor Supply

    At the optimum,

    the MRS betweenleisure and

    consumption equals

    the wage.

    A li ti 2 W d L b S l

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    THE THEORY OF CONSUMERCHOICE 54

    Application 2: Wages and Labor Supply

    An increase in the wage has two effectson the optimal quantity of labor supplied.

    Substitution effect(SE): A higher wage makes leisure

    more expensive relative to consumption.The person chooses less leisure,i.e., increases quantity of labor supplied.

    Income effect (IE): With a higher wage,

    she can afford more of both goods.She chooses more leisure,i.e., reduces quantity of labor supplied.

    A li ti 2 W d L b S l

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    THE THEORY OF CONSUMER

    CHOICE 55

    Application 2: Wages and Labor Supply

    For this person, SE

    > IE

    So her labor supply

    increases with the wage

    A li ti 2 W d L b S l

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    THE THEORY OF CONSUMER

    CHOICE 56

    Application 2: Wages and Labor Supply

    For this person, SE

    < IE

    So his labor supply falls

    when the wage rises

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    THE THEORY OF CONSUMER

    CHOICE 57

    Could This Happen in the Real World???Cases where the income effect on labor supply is very

    strong:

    Over last 100 years, technological progress has

    increased labor demand and real wages.

    The average workweek fell from 6 to 5 days. When a person wins the lottery or receives an

    inheritance, his wage is unchanged hence no

    substitution effect.

    But such persons are more likely to work fewer

    hours, indicating a strong income effect.

    CONCLUSION:

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    CONCLUSION:

    Do People Really Think This Way?

    People do not make spending decisionsby writing down their budget constraints and

    indifference curves.

    Yet, they try to make the choices that maximize their

    satisfaction given their limited resources. The theory is only intended as a metaphor for how

    consumers make decisions.

    It explains consumer behavior fairly well in many

    situations and provides the basis for more advanced

    economic analysis.