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Demand
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Consumer Demand Consumer’s demand functions:
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Changes in Income Given Prices
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Normal Goods Both goods 1 and 2 are normal
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An Inferior Good Good 1 is normal. Good 2 is inferior:
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Income Offer and Engel Curves Income Offer Curve Engel Curve
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Cobb-Douglas Demand function for good 1: Demand function for good 2:
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Cobb Douglas Income Offer Curve: Engel Curve:
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Perfect Substitutes Demand function for good 1: if
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Perfect Substitutes (with ) Income Offer Curve: Engel Curve:
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Perfect Complements Optimal choice: Budget line: Demand function for goods 1 and 2:
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Perfect Complements Income Offer Curve: Engel Curve:
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Homothetic Preferences Consumer’s preferences only depend on the ratio of the two goods: If Then, for Example: Cobb-Douglas, Perfect substitutes, Perfect Complements. Properties: straight income offer curve and Engel curve.
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Luxury Good
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Necessary Good
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Changes in Prices Fix income and price of one good and change price of the other.
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Ordinary Goods Price of good 1 decreases. Demand for good 1 increases.
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Giffen Goods Price of good 1 decreases. Demand for good 1 decreases.
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Price Offer and Demand Curves Price Offer Curve: Demand Curve:
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Perfect Complements Price Offer Curve: Demand Curve:
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Substitutes Good 1 is a substitute for good 2 when:
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Complements Good 1 is a complement to good 2:
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Inverse Demand Function Consider a demand function The inverse demand function is Cobb-Douglas example:
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Inverse Demand Curve Optimal choice: Suppose: (composite good) Rearrange:
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