Unit 1.2 2016 students.pdf

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    Outcomes• Define, explain and illustrate how the budget constraint

    (and the slope) can change.

    • Discuss the characteristics of consumer preferences• Define, illustrate and discuss the different charateristics

    of indifference curves.• Calculate, illustrate and explain the slope and change in

    the budget line.• Use a graph to illustrate the consumer’s equilibrium.• Explain and illustrate the difference between the income

    and substitutuion effect by using indifference curves.• Derive the demand curve by using the indifference

    approach.• Apply the rational choice model.

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    Properties of Preference

    Orderings

    • Completeness : the consumer is able to rank

    all possible combinations of goods andservices.

    • More-Is-Better : other things equal, more of a

    good is preferred to less.

    • Transitivity : for any three bundles A, B, and

    C, if one prefers A to B and prefers B to C,

    then one always prefers A to C.

    • Covexity : mixtures of goods are preferable to

    extremes.

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    Figure 3.1: Generating Equally

    Preferred Bundles

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    Indifference Curves• Indifference curve : a set of bundles

    among which the consumer is indifferent.

    • Indifference map : a representativesample of the set of a consumer’sindifference curves, used as a graphical

    summary of her preference ordering.

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    Properties of Indifference

    Curves• Indifference curves …

    1. Are Ubiquitous.Any bundle has an indifference curve passing through it.

    2. Are Downward-sloping.This comes from the “more-is-better” assumption.

    3. Cannot cross.

    4. Become less steep as we move downward and to theright along them.

    This property is implied by the convexity property of

    preferences.

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    Trade-offs Between Goods• Marginal rate of substitution (MRS): the

    rate at which the consumer is willing toexchange the good measured along thevertical axis for the good measured alongthe horizontal axis.

     – Equal to the absolute value of the slope of the

    indifference curve.

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    Figure 3.2: An Indifference Curve

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    Fig. 3.7: People have different tastes

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    Figure 3.10: Part of an Indifference

    Map

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    Figure 3.13: Why Two Indifference

    Curves Do Not Cross

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    Figure 3.14: The Marginal Rate

    of Substitution

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    Figure 3.15: Diminishing Marginal

    Rate of Substitution

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    Budget constraint

    • Definition: 

     – All the combinations

    (bundles) of 2 goods aperson can purchase givena certain money incomeand prices for the twogoods.

     – Any point on budgetconstrain (and below)represents possiblecombinations.

    • Slope = relative prices of

    two goods, X and Y

    (Px/Py).

    • Changes in budgetconstraint:

     –  Relative prices changes :budget constraint revolves(rotates) away or towardsorigin

    • Number of bundlesavailable increases ordecreases

     –  Individuals incomechanges: budget constraintmoves parallel towards oraway from origin.

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    Figure 3.8: The Budget Line,

    or Budget Constraint

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    Budget shifts due to price or income

    changes

    • If the price of ONLY one good changes…

     – The slope of the budget constraint changes.

    • If the price of both goods change by the sameproportion…

     – The budget constraint shifts parallel to the originalone.

    • If income changes ….

     – The budget constraint shifts parallel to the original

    one.

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    Figure 3.10: The Effect of a Rise

    in the Price of Shelter

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    Figure 3.11: The Effect of Cutting

    Income by Half

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    The Best Feasible Bundle• Consumer’s Goal : to choose the best

    affordable bundle. – The same as reaching the highest indifference

    curve she can, given her budget constraint.

     – For convex indifference curves.

    • the best bundle will always lie at the point oftangency between the budget line and theindifference curve.

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    Figure 3.17: The Best Affordable Bundle

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    Calculation of optimal bundle• Example: pg 92 -95

    • Optimal bumdle where U =XY, Px = 4, Py= 2 and M = 40

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    Figure 3.25: The Optimal Bundle when

    U = XY, P x = 4, P y = 2, and M = 40