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L05 Choice
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Problem: We know Preferences Prices and income We want optimal choice
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Secrets of Happiness (SOH):
x2 x1
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Abstract approach In the example we were given
we found demands - two numbers Now we use abstract parameters we find demand functionsNow we 4 types of preferences
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Abstract Cobb Douglass Function
Cobb Douglass utility functions and are equivalent in terms of preferences
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Magic (Cobb-Douglass) formula
Parameters:
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Cobb-Douglas: Summary
Utility function: or Solution: Shares of income
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A) Let and B) Let and
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Interior and corner solution
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Interiority Cobb – Douglass (always interior solution)
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SOH: Extreme preferences
Perfect Complements (shoes) Perfect substitutes (cheese) Troublemakers
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Perfect complements Right and left shoe
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Perfect complements Coffee and 2 teaspoons of sugar
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Perfect Complements: Problem
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SOH (Perfect Complements)
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Perfect Complements (SOH)
Interior or corner solution?
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Is solution always interior?
Not necessarily Perfect Substitutes Quasilinear
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Perfect Substitutes:Problem
x2 x1
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Magic Formula (Substitutes)
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