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RL1. Review. Review. A decisionmaker chooses its most preferred alternative from the affordable ones. Budget set Preferences (Utility) Choice (Demand). Budget set. Budget set: given Write down budget constraint Illustrate it geometrically (numbers)
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RL1 Review
Review • A decisionmaker chooses its most preferred alternative from the affordable ones. • Budget set • Preferences (Utility) • Choice (Demand)
Budget set • Budget set: given • Write down budget constraint • Illustrate it geometrically (numbers) • Interpret the slope (econ. and geom.) • Changes: Price and Income • Modifications: e.g. Taxes, Subsidies, Gifts
Budget set Graph, Slope, Price and Income Change Taxes, Subsidies, Gifts
Preferences • Preferences: ranking of bundles • Geometric representation – indifference c. • Goods, Bads, Satiated preferences (slopes) • Four examples of preferences • Cob-Douglass • Perfect Complements • Perfect Substitutes • Quasilinear • Utility and MRS • Monotone transformations
Preferences (4 examples) MRS (find, interpret, 0.000001)
Choice – well behaved preferences • Given and • Note: can be parameters • Find optimal choice on the graph • Secrets of happiness • Geometric interpretation • Economic Interpretation • Analytical solution • Magic formulas
Choice $ $ $ $ $ $ $ $ $ $
Choice $ $ $ $ $ $ $ $ $ $
Choice Graph, optimality conditions, twist interiority!
Extreme preferences Graph, optimality conditions, twist interiority, !
Behavior of the demand • Own – price change: Ordinary or Giffen • Income change: Normal or Inferior • Demand and Engel Curve Plot and find them analytically (four examples of preferences) • Other good price change: Gross Substitutes or Complements
Own-price change • TCH=SE+IE • Interpretation • Decomposition: Auxiliary budget line • Relation: Giffen - Inferior goods
Buying and selling • Nominal Income – endowment of goods • Budget set: buying selling • Changing prices • Price offer curve • Find net demands for extreme preferences!
Labor supply • Labor leisure choice • Budget set • Labor leisure Choice • Why labor supply is inelastic
Intertemporal choice • Abstract model = Two period model • Budget set (borrowing, saving) • Preferences (Discount factor and rate) • Choice: Consumption and Savings • Many periods • Annuity and Perpetuity formula • Aplications