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Advanced Microeconomics lecture 7:consumption theory IV Aggregation and Welfare ? Content: – Consumer’s surplus – Aggregation – Representation consumer. ’s surplus ? Money metric utility function measure the welfare of consumer in economy changing. ? Definition: equivalent variation (EV) and pensating Variation (CV): see the fig. Let ( , )eup0 1 0 1 0 0 0 1( , , ) ( , ) ( , ) ( , )E V w e u e u e u w? ? ? ?p p p p p0 1 1 1 1 0 1 0( , , ) ( , ) ( , ) ( , )C V w e u e u w e u? ? ? ?p p p p p0 0 1 1 0 0 1 1( , ) , ( , ) , ( , ) ( , )u v w u v w e u e u w? ? ? ?p p p p’s surplus ? Consider a changing only accurse in price of modity 1. 01110 1 0 10 1 1 111 1 1 1( , , ) ( , )( , ) ( , )( , , )ppEV w e u we u e uh p u dp?????? ?p p pppp01110 1 01 1 1 1( , , ) ( ,