ECON 100A Lecture Notes - Lecture 8: Quasilinear Utility, Economic Surplus

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2 Apr 2020
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We know that a price change is coming, so if i pay you a dollar (income decreases by ), then we can avoid the price change. Q: i"m being asked whether i will accept a price increase. Q: there"s a prospect of a price increase. **note: when the consumer"s preferences are quasilinear, all three measures are the same. Cs, cv, and ev are the same in exactly one case: when the consumers preferences are quasilinear. Let"s work through this with and p2 = 1. Consumer surplus: compare consumption at price p1" to consumption if i couldn"t buy x1 at all. If i can"t buy x1 at all, i use all my money on x1, buying x2""=m utility is: u(0, x2"") = u(0, m) Therefore, cs = u(x1", x2")-u(0, x2"") = v(x1") v(0) p1"x1". At p1", i buy x1"=x1(p1") and x2" = m p1"x1". Utility is: u(x1", x2") = v(x1") + x2" = v(x1") + m p1"x1".

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