II. CONSUMER DEMAND
Goal: to investigate more closely what makes
consumers tick
--what influences their decisions
--what policies we might use and the effects of those policies
We will now switch from what we call partial equilibrium to general equilibrium analysis
Partial equilibrium
analysis: studies individual markets in isolation
Uses S&D diagrams
General equilibrium
analysis: studies how markets are linked together
Uses diagrams which look at more than 1 item at
a time
We'll introduce new tools for analyzing consumer
behavior:
budget lines and indifference curves.
A. THE RATIONAL CONSUMER
--Basic setup
Consumption set: set of all possible consumption bundles.
How the consumption set
looks: Graph 2 points for 2 goods (R,C) |
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3 key ingredients of consumer theory:
(1) Utility--total satisfaction
Total utility = total consumer satisfaction or
"psychic glow"
Formerly thought to be measurable--"utils" (cardinal
utility).
This made interpersonal comparisons possible
Today's theory: only utility ranking for an individual is possible, not
quantitative measuring.
Ordinal utility: allows people to rank their consumption bundles
Ordinal utility: "Are you better off now than
you were 4 years ago?"
Interpersonal comparisons aren't possible
Utility function: U = U(x,y,z,...)
Ex: U = U(Rum,Coke)
(2) Budget constraint
Constraints:
Prices
Income
(3) Goal: consumers
try to maximize utility
--given their budget constraint
We'll consider the constraint consumers face first, then their utility, and then how the two get combined in uitlity maximization
1. CONSUMER CONSTRAINTS AND THE BUDGET LINE (BL)
BL reflects the consumer's price and
income constraints
(handout: The budget line and its slope)
Consider a 2-good world as usual
Constraint on consumer's spending:
I = Px· X + Py·Y
(1) the geometry of the BL
It would be nice to incorporte this constraint into
the diagram we've set up to illustrate alternative consumption bundles.
To do this, we need to rearrange terms to express the amount of Y you
can buy as a function of how much X you buy:
Rearrange terms:
I Px
Y = ----- - ------ ·X
Py
Py
BL is a straight line:
I/Py = intercept
Px/Py = slope
How the BL looks: Suppose you consume soda (S=goodX) and pizza (P=goodY): Your income constraint: A budget line divides the consumption set into consumption bundles that are attainable and those which are not attainable. |
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All the points outside the BL are unattainable unless
income rises or prices fall.
BL = a "consumption
possibilities frontier."
Intercept term: I/Py
? What does the value of the intercept tell you?
Slope term: Px/Py
? What economic information is
reflected in the slope of the BL?
(2) the mathematics of the BL slope
DTE = PxDX + PyDY
Along a BL, DTE = 0 which =>
PyDY = -Px DX =>
|-DY/DX| = Px/Py.
The size of the slope of a BL = the price of X relative to Y.
(3) the logic of the BL slope
General logic (from budget line worksheet): | ||
Px | <--Px tells you how much money you need for a unit of X. | |
--- | ||
Py | <--Py tells you the rate you get money by giving up Y. | |
So Px/Py tells you the quantity of good Y you must give up to raise enough money to buy 1X, and that's the size of the slope of the budget line (|DY/DX|) |
Budget line examples:
worksheet
spreadsheet (Excel)
illustrations of worksheet examples
(Java)
Recap: the types of BL variations that can occur:
(1) Parallel shifts: When income changes, we get this
(2) Rotations: when relative prices change, we get this.
Example: Up Px => steeper BL ((1) higher
opp.cost (2) can't afford as much X)
(3) Kinks: when relative prices vary along a BL.
A useful
specification of the budget line:
X = a product of interest
Y = Ig = $ of income spent on all goods other than X
How
it looks: I = Px X + Ig => Example: Ig = 60 - 3X ? What does the vertical
intercept tell us in this case? ? And what does the size of the
slope tell us? |
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Graph point A at X=4
? How much income are you
spending on goods OTHER than X?
? And how much income are you
spending on X (TEx)
You can read TEx directly from the vertical axis:
Whatever income isn't spent on other goods is spent on X
TEx = I - Ig
In other words, how far you've moved down your BL to reach your consumption of good X tells you how much income you've used up to buy it, and that's your total expenditure on X (TEx).
Real world applications (Java)