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Chapter 6: Doing the "Best" We CanAnimated GraphicsEach graphic opens in a new browser window. Note: Animations with voice-over may take some time to load.Graph 6.1abc Graphical Optimization - Budget Constraint & Indifference Curves Voice-Over Graph 6.2abDifferent Choice Sets, Different Tastes - but Same Tastes "at the Margin" Voice-Over Graph 6.3abcdefChoice Sets & Indifference Maps - Corner Solutions Voice-Over Graph 6.4abcdefChoice Sets & Indifference Maps - Ruling out Corner Solutions Voice-Over Graph 6.5abcKinked Budget Constraints, Optimal Bundles and Indifference Curves - "Outward Kink" Voice-Over Graph 6.6Kinked Budget Constraints, Optimal Bundles and Indifference Curves - "Inward Kink" Voice-Over Graph 6.7abcdConvexity and Non-convexity in Budget Constraints and Choice Sets - Best Bundles Voice-Over Graph 6.8abcNon-Convexities in Taste Voice-Over Graph 6.9 Converting the Constrained Optimization Problem into an Unconstrained Optimization Problem
Optimization with Missing Constraint: Quasilinear Utility Function A Clear Corner Solution (a) with an Economically Nonsensical "Interior Solution" (b) u(x1,x2) = x2 + a ln x1 with a = 25 Voice-Over Graph 6.11Ruling out Corner Solutions The Presence of Non-Essential Goods does not have to Result in a Corner Solution Voice-Over Graph 6.12Non-Convex Budget Constraints, Optimal Bundles and Indifference Curves - without Kink Non-Convex Budgets: "First Order Conditions" can hold at a bundle (A) that is not an Optimum Voice-Over Graph 6.13Estimation Non-Convex Tastes from Observed Choices Non-Convex Tastes: "First Order Conditions" can hold at a bundle (C) that is not an Optimum Voice-Over Graph 6.14abcdeNon-Convexities in Choice Sets Mathematical Optimization on Kinky Budgets Voice-Over |