Chapter Eight Slutsky Equation What Are We Doing in this Chapter? We take a further look at parative statics of demand function with respect to prices; We divide the changes in demand due to price changes into two effects: Substitution effect; e effect? Why? Deeper economic intuition. Effects of a Price Change What happens when modity’s price decreases? Substitution effect: modity is relatively cheaper, so consumers substitute it for now relatively more expensive modities. Effects of a Price Change e effect: the consumer’s budget of $y can purchase more than before, as if the consumer’s e rose, with consequent e effects on quantities demanded. Effects of a Price Change x1 Lower price modity 1 pivots the constraint outwards. Consumer’s budget is $y. x2 Effects of a Price Change x1 Lower price modity 1 pivots the constraint outwards. Consumer’s budget is $y. x2 Now only $y’ are needed to buy the original bundle at the new prices, as if the consumer’s e has increased by $y - $y’. The Idea behind the Slutsky Equation Divide the total changes to demand from a price change into pure substitution effect; 2) an e effect. Pure Substitution Effect “What is the change in demand when the consumer’s e is adjusted so that, at the new prices, she can only just buy the original bundle?” ., changes in demand without changes in real e Pure Substitution Effect Only x2 x1 x2’ x1’ Pure Substitution Effect Only x2 x1 x2’ x2’’ x1’ x1’’