Consumer Choice Theory

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    Consumer TheoryConsumer Theory

    You are constantly making economic decisions

    At the highest level of generality, we are all verymuch alike

    Come up against the same constraintsToo little income or wealth

    Too little time to enjoy it all

    The theory of individual decision making is

    called consumer theory

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    Part I. The Budget ConstraintPart I. The Budget Constraint

    Virtually all individuals must face two facts ofeconomic life

    Have to pay prices for the goods andservices they buy

    Have limited funds to spend A consumers budget constraint identifies which

    combinations of goods and services the consumercan afford with a limited budget

    Mathematical expression: Px * X + Py * Y =m Where m is budget, Px and Py are prices for

    good X and good Y respectively

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    The Budget ConstraintThe Budget Constraint

    Graphical representation of a budget constraint:budget line

    The price of one good relative to the price ofanother

    Interpretation on the vertical / horizontal intercepts

    The slope of the budget line indicates the spendingtrade-off between one good and another

    Amount of one good, that must be sacrificed inorder to buy more of another good

    If PY is the price of the good on the vertical axis,then the slope of the budget line is PX / PY

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    Figure 1: The Budget LineFigure 1: The Budget Line

    xP

    m

    Slope is - Px/Py

    (a)

    Good X

    Good Y

    yP

    m

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    Figure 1(a): The Budget Constraint-- Example

    Figure 1(a): The Budget Constraint-- Example

    A

    B

    G

    H

    Number ofConcerts

    per Month

    Number ofMovies per

    Month

    15

    12

    9

    6

    3

    1 2 3 4 5

    With $150 per month, Maxcan afford 15 movies andno concerts, . . .

    12 movies and 1 concert or any other

    combination onthe budget line.

    Points below the line arealso affordable.

    But notpoints

    abovethe line.

    D

    F

    E

    C

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    Changes in the Budget LineChanges in the Budget Line

    Changes in income

    Increase in income will shift the budget lineupward (and rightward)

    A decrease in income will shift the budgetline downward (and leftward)

    Shifts are parallel

    Changes in income do not affect the budget

    lines slope

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    Figure 2a: Income Changes in theBudget LineFigure 2a: Income Changes in theBudget Line

    1. An increase in income shiftsthe budget line rightward,with no change in slope.

    (a)

    Number ofConcerts per

    Month

    5

    15

    15

    Number of Moviesper Month

    30

    10

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    Changes in the Budget LineChanges in the Budget Line

    Changes in price In each case, one of the budget

    lines intercepts will change, aswell as its slope

    When the price of a good

    changes, the budget line rotatesBoth its slope and one of its

    intercepts will change

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    Figure 2b: Price Changes in the BudgetLineFigure 2b: Price Changes in the BudgetLine

    2. A decrease in the price of moviesrotates the budget line upward.Movieticketpricedrop form $10 to $5

    (b)

    Number ofConcerts per

    Month

    5

    15

    15

    Number of Moviesper Month

    30

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    Figure 2c: Price Changes in the Budget LineFigure 2c: Price Changes in the Budget Line

    3. while a decrease in the price of concertsrotates it rightward.Concertticketpricedrops from $30 to $10

    Number ofConcerts per

    Mo

    nth

    5

    15

    15

    Number of Moviesper Month

    30

    (c)

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    Part II. PreferencesPart II. Preferences

    How can we possibly speak systematicallyabout peoples preferences?

    People are different Despite differences in preferences, can find

    some important common denominators

    something true for a wide variety of people

    They are focus in our theory ofconsumer choice

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    Assumptions on Preferences-- (1) Rationality

    Assumptions on Preferences-- (1) Rationality

    People have preferences We assume that you can look at two

    alternatives and state either that you prefer

    one to the other or entirely indifferentbetween the Preferences are logically consistent, or

    transitive Rational preference: choices can be made and

    they are logically consistent Rationality is a matter of how you make your

    choices, and not what choices you make What matters is that you make logically

    consistent choices

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    Assumptions on Preferences-- (2) More Is Better

    Assumptions on Preferences-- (2) More Is Better

    We generally feel that more is better

    The model of consumer choice in thischapter is designed for preferences thatsatisfy the more is better condition It would have to be modified to take

    account of exceptions

    The consumer will always choose a point onthe budget line Rather than a point below it

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    Consumer Choice: Two TheoriesConsumer Choice: Two Theories

    Theories of consumer decision making

    Marginal utility

    Indifference curveBoth assume that preferences are rationalBoth assume that consumer would be better

    off with more of any good

    Both theories come to same general

    conclusions about consumer behavior However, to arrive at those conclusions

    each theory takes a different road

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    The Marginal UtilityApproachThe Marginal UtilityApproach

    Utility: a quantitative measure of pleasureor satisfaction obtained from consuminggoods and services

    Assume that consumers as striving tomaximize their utility

    any decision maker tries to make thebest out of any situation

    Anything that makes the consumer betteroff is assumed to raise his utility

    Anything that makes the consumerworse off will decrease his utility

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    Marginal UtilityMarginal Utility

    Marginal utility (MU) of an additional unit

    Change in utility derived from consuming

    an additional unit of a good The law of diminishing marginal utility, as

    defined by Alfred Marshall (1842-1924) statesthat

    Marginal utility of a thing to anyonediminisheswith every increase in theamount of it he / she already has

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    Example: Total And Marginal Utility-- Ice Cream Consumption

    Example: Total And Marginal Utility-- Ice Cream Consumption

    Number ofcones

    TotalUtility

    MarginalUtility

    0 0 -

    1 30 30

    2 50 20

    3 60 10

    4 65 5

    5 68 3

    6 68 0

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    Figure 3: Total And Marginal UtilityFigure 3: Total And Marginal Utility

    Total Utility

    Marginal Utility

    Utils 3020

    10

    Ice Cream Cones per Week1 2 3 4 5 6

    Utils60

    50

    40

    70

    30

    20

    10

    Ice Cream Cones per Week1 2 3 4 5 6

    1. The changeintotalutility from

    one more ice cream cone . . .

    2. is called the marginalutility

    of an additional cone.3. Marginal utility

    falls as more conesare consumed.

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    Marginal UtilityApproach-- Central Idea

    Marginal UtilityApproach-- Central Idea

    An individuals utility-maximizing choice

    What is the best affordable combination ofthe two goods?

    Considering both marginal utility values andthe budget constraint

    Central idea:

    Highest possible utility will be point at whichmarginal utility per dollar is the same forboth goods

    Otherwise, individual has incentive to deviate,i.e., chooses alternative combination

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    Marginal UtilityApproach-- How does it work?

    Marginal UtilityApproach-- How does it work?

    For any two goods x and y, with prices Px and PY,whenever MUx / Px > MUY / PY, a consumer ismade better off shifting away from y and toward x

    Vice versa Leads to an important conclusion

    A utility-maximizing consumer will choose thepoint on the budget line where marginal utility

    per dollar is the same for both goods (MUX / PX= MUY / PY)

    At that point, there is no further gain fromreallocating expenditures in either direction

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    Marginal UtilityApproach-- Utility Maximization Condition

    Marginal UtilityApproach-- Utility Maximization Condition

    Utility will be maximized where

    MUX / PX = MUY / PY for any pair of

    goods x and y If this condition is not satisfied, consumer

    will be better off consuming more of one andless of the other good in the pair

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    What Happens When Things Change:Changes In IncomeWhat Happens When Things Change:Changes In Income

    A rise in incomewith no change in priceleadsto a new quantity demanded for each good

    Whether a particular good is normal (quantitydemanded increases) or inferior (quantitydemanded decreases) depends on theindividuals preferences

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    The Individuals Demand CurveThe Individuals Demand Curve

    Curve showing quantity of a good orservice demanded by a particular

    individual at each different price