Principles of Microeconomics- Consumer Theory

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    Theory of Consumer Choice

    Dr. Katherine Sauer

    Principles of Microeconomics

    ECO 2020

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    Overview:

    I. Preferences

    II. Budget Constraint

    III. Optimization

    IV.The Demand Curve

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    The theory ofconsumer choice is based on the notion that

    consumers

    try to do they best they can

    given the constraints of

    their budgets

    the price of goods.

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    I. Consumer Preferences

    A. Satisfaction from Consuming goods/services

    Utility is the satisfaction or happiness a person receives

    from consuming a good/service.

    Total Utility = sum total of all the satisfaction/happiness

    from consuming the good/service

    Marginal Utility = additional satisfaction/happiness from

    consuming one additional unit of the good/service

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    Ex: You eat 4 slices of pizza for dinner.

    Total Utility = your total satisfaction

    Marginal Utility = the additional satisfaction

    you received from eating the 4th slice as

    compared to the 3rd

    slice

    Note: it is not really possible to quantify utility

    The 4 slices of pizza gave you 75 units of satisfaction?

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    An individual CAN determine if something gives them

    more or less satisfaction than something else.

    ex: pineapple gives me more utility than

    blueberries

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    Because we cant quantify satisfaction, we cant

    compare satisfaction across people.

    ex: Jane like pineapple and Jack likes

    pineapple. We cant determine who gets more

    utility from pineapple.

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    We do know that consumption is subject to the law of

    diminishing marginal utility.

    Each unit of a good will increase total satisfaction but at a

    decreasing rate.

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    Ex: You are hungry. You eat a slice of pizza. It gives you

    some satisfaction.

    You eat a second slice.

    total satisfaction increases

    second slice didnt give you quite as much extrasatisfaction as the first

    - 5th slice

    total satisfaction increases

    not as much extra satisfaction as the 4th slice

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    B. Preferences

    People have preferences over various combinations ofgoods/services.

    For simplicity, consider only two options at a time.

    Ex: Suppose you have 3 job offers:

    Minneapolis for $50,000

    Washington DC for $40,000

    Phoenix for $30,000

    In choosing a job, you care about 2 things, high salary and

    high average temperature.

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    Salary

    Average Temp

    While Minneapolis has the

    highest salary, it is also the

    coldest.

    While Phoenix has the highest

    average temperature, it also has

    the lowest salary.

    Suppose each would give you

    the same level of utility.

    MN

    AZ

    IndifferenceCurve

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    An indifference curve is a graphical representation of allthe different combinations of 2 options that yield the

    same level of utility for a person.

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    Salary

    Average Temp

    Washington DC has a moderate

    salary and a moderate climate.

    It is preferred to both MN and

    AZ.

    Utility rises as indifference

    curves get further away fromthe origin.

    MN

    AZ

    DC

    IC1

    IC2

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    Ex: You buy coffee and download music each month.

    Consuming 10 cups of coffee and buying 15 songs

    gives you a certain level of total utility.Lets call this utility level 1.

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    Q coffee

    Q songs

    10

    15

    Achieving

    Utility Level 1

    To keep that level of utility

    constant you could adjust the

    amount of each good you

    consume.- if you buy more

    coffee, decrease your

    downloads

    - if you buy less coffee,

    increase your

    downloads

    more

    coffee

    fewer

    songs

    Still Achieving

    Utility Level 1

    lesscoffee

    more

    songs

    Still AchievingUtility Level 1

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    Q coffee

    Q songs

    10

    15

    more

    coffee

    fewer

    songs

    lesscoffee

    more

    songs

    Still AchievingUtility Level 1

    Indifference Curve

    for Utility Level 1We could plot all the different

    combinations of coffee and

    songs that give us utility level 1.

    - indifference curve

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    C. Properties of Indifference Curves

    1. Higher curves arepreferred to lower curves- true as long as more is better is true

    Good Y

    Good X

    IC1 (Utility Level 1)

    IC2 (Utility Level 2)

    IC3 (Utility Level 3)

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    2. They are downward sloping.

    Reason: for a given level of satisfaction, you have togive up some of the Y good in order to get some more of

    the X good

    The slope reflects the rate at which you are willing tosubstitute one good for another.

    The slope of an indifference curve is called the marginal

    rate of substitution.- rate at which you will give up good Y to get good X

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    IC1

    Y

    When you have a lot

    of good Y, you are

    willing to give someup to get an additional

    unit of X.

    When you have less ofgood Y, you are not as

    willing to give some

    up to get an additional

    unit of X.

    X

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    The marginal rate of substitution (MRS) is not the

    same at each point on the indifference curve.

    IC1

    X

    Y

    Steep slope (willing to give up Y), high MRS

    Flat slope (not as willing to give up Y),low MRS

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    The exact shape of the indifference curve depends on

    your preferences for the particular goods/services.

    You like good X quite a bit You like good Y quite a bit

    more than good Y more than good X

    Y

    X

    Y

    X

    IC

    IC

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    The goods are perfect The goods are perfect

    complements substitutes

    Y

    X

    Y

    X

    ICIC

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    II. Consumers Budgets

    Most people cant afford everything they want.

    Purchases are limited by- income

    - prices

    For simplicity, lets assume that consumers spend all oftheir income and credit does not exist.

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    Ex: The disposable income you have available for coffee and

    downloaded songs each month is $30. A coffee costs $3 each anddownloaded songs costs $1 each.

    If you spent all of your money on coffee, you could buy how

    many cups?

    30/3 = 10 (Income / price of coffee)

    If you spent all of your money on songs, you could buy how many

    songs?

    30/1 = 30 (Income / price of songs)

    Lets show this on a graph.

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    Q coffee

    Q songs

    I/Pc = 10

    30

    You could also purchase a combination

    of the goods.

    The slope of the Budget Constraint is

    equal to the negative of the ratio of the

    prices.

    (- px / py)

    For our specific example: - 1/3

    Budget Constraint

    I/Ps

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    Q coffee

    Q songs

    10

    30

    Budget Constraint

    Suppose the price of songs increases to $2 each.

    The maximum number of coffee cups will not change.

    The maximum number of songs will decrease:

    30 / 2 = 15

    15

    BC2

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    An increase in one goods price will rotate the budget

    line inward along that goods axis.

    A decrease in one goods price will rotate the budget line

    outward along that goods axis.

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    Q coffee

    Q songs

    10

    30

    Suppose that instead of having $30 to spend on

    coffee and songs you have $50.

    The maximum number of cups will change.50 / 3 = 16.67

    The maximum number of songs will change.

    50/1 = 50

    Budget Constraint

    16.7

    50

    The slope will not

    change because the

    prices havent changed.

    BC2

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    An increase in income will shift the budget line outward.

    A decrease in income will shift the budget line inward.

    The slope will not change when income changes.

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    III. Consumer Optimization

    The consumer will maximize their utility given their

    budget constraint.

    The consumer will be trying to get on the highest

    indifference curve that their budget will allow.

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    Q coffee

    Q songs

    10

    30

    BC

    IC3

    IC1

    IC2

    IC3: is the best for the consumer, but they

    cant afford it with their current budget

    constraint

    The consumer can afford bundles J, K, and

    L which lie on IC1 and IC2.

    J

    K

    L

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    Q coffee

    Q songs

    10

    30

    BC

    IC3

    IC1

    IC2

    Bundles J and L are affordable and lie on

    IC1.

    Bundle K is also affordable and lies on IC2,which is higher than IC1.

    Bundle K is the optimal combination of

    songs and coffee.

    J

    K

    L

    S*

    C*

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    The optimal bundle can be found by looking for the

    point of tangencybetween the indifference curve and

    the budget constraint.

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    IV. Deriving the Demand Curve

    A budget constraint and indifference curve can be used to

    derive an individuals demand curve.

    Assume everything is held constant except for the price

    and quantity demanded of one particular good.

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    Q oranges

    Q apples

    Q apples

    Price of

    apples

    Qo1

    Qa1

    IC1

    BC1

    For a given income level,

    prices and preferences, an

    optimal bundle can be found.

    Qa1

    We can plot the price we are

    given and the optimal

    quantity.Pa1

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    Q oranges

    Q apples

    Q apples

    Price of

    apples

    Qo1

    Qa1

    IC1

    BC1

    Suppose that the price of

    apples decreases.

    The budget constraint willrotate out along the apples

    axis.

    A new level of utility can beachieved and a new optimal

    bundle is found.

    We can plot the new price and

    quantity demanded.

    We have just identified 2

    points on the demand curve.

    Qa1

    Pa1

    IC2

    BC2

    Qa2

    Qo2

    Qa2

    Pa2

    Demand