ECO204Y1 Lecture 6: Lecture 6 Consumer Theory Part 5

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24 Oct 2017
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U = min ( q1, q2) q2 = / q1. As income increases (numerator), price also increases at same rate (denominator) Demand for one good depends on prices of both goods. Unlike cobb-douglas, where demand for one good does not depend on price of the other good. Spend constant fraction of income on each good. Consumption of each good independent of the other good. If greater affinity for good 1, will be greater. U = min(q1,2q2), p1 = , p2 = , y = q2 = 1/2 q1. Solving two equations gives q1 = 20, q2 = 10, u = 20. Lagrange multiplier only exists for differentiable utility functions. Marginal utility of income du*/dy= / ( p1 + p2) Marginal utility of q1 min = 0 du*/dq1. Same for q2 min min, changing q1 min has no impact. Suppose q1 is the good being analyzed, and q2 is everything else. Assume f(0) = 0, mu1 = f"(q1) > 0.

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