Economics 2150A/B Lecture Notes - Lecture 5: Emd Bl2, Demand Curve, Normal Good

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Econ 2150
Chapter 5 Notes
Oct. 7 2017
Chapter 5: The Theory of Demand
Optimal Choice and Demand
The Effects of a Change in Price
Looking at an Optimal Choice Diagram
Vertical (or horizontal) intercept of the budget line is the same since the price of that
idiidual good/ioe has’t haged, ol the othe oe
Slope of budget line changes as a result of Px changing
If we draw a curve connecting all the baskets that are optimal, we get a price
consumption curve
o Generates our demand curve
The Effects of a Change in Income
Results in a shift of the budget line since both intercepts are changing by the same amt
If we draw a curve connecting all the baskets that are optimal, we get a income
consumption curve
Changing Income: Shifting a Demand Curve
As income incr. we buy more of both goods
Also generates a demand curve
Engel Curves
A curve that relates the amount of a good consumed to the level of income, holding
prices constant
Quantity is on horizontal axis, income is on the vertical instead of price
Upward sloping (positive) for a normal good
o Positive elasticity of demand
Inferior goods have backwards C-shaped curves at some point, has a negative slope
Change in the Price of a Good: Substitution Effect and Income Effect
Substitution effect = the change in the quantity of the good the consumer would
purchase after the price change to achieve the same level of utility
Income effect = the change in the amount of a good that a consumer would buy as
purchasing power changes, holding prices constant
o Aouts fo the pat of the total diffeee i uatit puhased that is’t
accounted for by the substitution effect
Work together at same time to result in an overall movement of the consumer from an
initial basket to a final basket
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The Substitution Effect
Step 1 find the initial basket
o At price Px1, face budget line BL1, maximizing basket is A on U1, the quantity
purchased is xA
Step 2 find the final basket
o Decr. in price of x rotates BL outwards (BL2), quantity purchased is now at xC,
the overall effect of a price change is xc-xa
Step 3 find an intermediate decomposition basket that will enable us to identify the
portion of the change in quantity due to the substitution effect
o Keep in mind:
Decomposition basket reflects the price decrease, so must line on a BL
parallel to BL2
The decomposition basket reflects the assumption that the consumer
achieves the initial level of utility after the price decrease, so basket must
at point where BL is tangent to indifference curve U1
o The portion of the overall effect that is attributed to substitution effect is XB-Xa
The Income Effect
Basiall the hage i aout osued as the osue’s UTILITY hages
o Ie. We will start with the utility curves
Shift from BLd to BL2
Optimal basket is now on BL2
The income effect accounts for the consue’s oeet fo asket B to fial asket
C
o We attribute Xc-Xb to the income effect
Total change is substitution + income effect (Xc-xA)
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ECON 2150A/B Full Course Notes
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ECON 2150A/B Full Course Notes
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Document Summary

If we draw a curve connecting all the baskets that are optimal, we get a price consumption curve: generates our demand curve. The effects of a change in income: results in a shift of the budget line since both intercepts are changing by the same amt. If we draw a curve connecting all the baskets that are optimal, we get a income consumption curve. Changing income: shifting a demand curve: as income incr. we buy more of both goods, also generates a demand curve. Inferior goods have backwards c-shaped curves at some point, has a negative slope. Change in the price of a good: substitution effect and income effect: substitution effect = the change in the quantity of the good the consumer would purchase after the price change to achieve the same level of utility. The income effect: basi(cid:272)all(cid:455) the (cid:272)ha(cid:374)ge i(cid:374) a(cid:373)ou(cid:374)t (cid:272)o(cid:374)su(cid:373)ed as the (cid:272)o(cid:374)su(cid:373)e(cid:396)"s utility (cid:272)ha(cid:374)ges.

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