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2019/3/7,中级微观经济学,chapter eight,slutsky equation slutsky 方程,由于课件过大,不能上传,本部分删除了6张关于收入效应和替代效应的几何图形的图片,请读者看教材的相关图形。cym,2019/3/7,中级微观经济学,effects of a price change,what happens when a commoditys price decreases? substitution effect (替代效应): the commodity is relatively cheaper, so consumers substitute it for now relatively more expensive other commodities.,2019/3/7,中级微观经济学,effects of a price change,income effect (收入效应): the consumers budget of $y can purchase more than before, as if the consumers income rose, with consequent income effects on quantities demanded.,2019/3/7,中级微观经济学,effects of a price change,x2,x1,original choice,consumers budget is $y.,2019/3/7,中级微观经济学,effects of a price change,x1,lower price for commodity 1 pivots the constraint outwards.,consumers budget is $y.,x2,2019/3/7,中级微观经济学,effects of a price change,x1,lower price for commodity 1 pivots the constraint outwards.,consumers budget is $y.,x2,now only $y are needed to buy the original bundle at the new prices, as if the consumers income has increased by $y - $y.,2019/3/7,中级微观经济学,effects of a price change,changes to quantities demanded due to this extra income are the income effect of the price change.,2019/3/7,中级微观经济学,effects of a price change,slutsky discovered that changes to demand from a price change are always the sum of a pure substitution effect and an income effect.,2019/3/7,中级微观经济学,real income changes,slutsky asserted that if, at the new prices, less income is needed to buy the original bundle then “real income” is increased more income is needed to buy the original bundle then “real income” is decreased,2019/3/7,中级微观经济学,real income changes,x1,x2,original budget constraint and choice,2019/3/7,中级微观经济学,real income changes,x1,x2,original budget constraint and choice,new budget constraint,2019/3/7,中级微观经济学,real income changes,x1,x2,original budget constraint and choice,new budget constraint; real income has risen,2019/3/7,中级微观经济学,real income changes,x1,x2,original budget constraint and choice,2019/3/7,中级微观经济学,real income changes,x1,x2,original budget constraint and choice,new budget constraint,2019/3/7,中级微观经济学,real income changes,x1,x2,original budget constraint and choice,new budget constraint; real income has fallen,2019/3/7,中级微观经济学,pure substitution effect,slutsky isolated the change in demand due only to the change in relative prices by asking “what is the change in demand when the consumers income is adjusted so that, at the new prices, she can only just buy the original bundle?” use warp to determine the direction of change.,2019/3/7,中级微观经济学,pure substitution effect only,x2,x1,x2,x1,2019/3/7,中级微观经济学,pure substitution effect only,x2,x1,x2,x1,2019/3/7,中级微观经济学,pure substitution effect only,x2,x1,x2,x1,2019/3/7,中级微观经济学,pure substitution effect only,x2,x1,x2,x2,x1,x1,2019/3/7,中级微观经济学,pure substitution effect only,x2,x1,x2,x2,x1,x1,lower p1 makes good 1 relatively cheaper and causes a substitution from good 2 to good 1.,(x1,x2) (x1,x2) is the pure substitution effect.,2019/3/7,中级微观经济学,and now the income effect,x2,x1,x2,x2,x1,x1,(x1,x2),2019/3/7,中级微观经济学,and now the income effect,x2,x1,x2,x2,x1,x1,(x1,x2),the income effect is (x1,x2) (x1,x2).,2019/3/7,中级微观经济学,the overall change in demand,x2,x1,x2,x2,x1,x1,(x1,x2),the change to demand due to lower p1 is the sum of the income and substitution effects, (x1,x2) (x1,x2).,2019/3/7,中级微观经济学,slutskys effects for normal goods,most goods are normal (i.e. demand increases with income). the substitution and income effects reinforce each other when a normal goods own price changes.,2019/3/7,中级微观经济学,slutskys effects for normal goods,x2,x1,x2,x2,x1,x1,(x1,x2),good 1 is normal because higher income increases demand,2019/3/7,中级微观经济学,x2,x1,x2,x2,x1,x1,(x1,x2),good 1 is normal because higher income increases demand, so the income and substitution effects reinforce each other.,slutskys effects for normal goods,2019/3/7,中级微观经济学,since both the substitution and income effects increase demand when own-price falls, a normal goods ordinary demand curve slopes down. the law of downward-sloping demand therefore always applies to normal goods.,slutskys effects for normal goods,2019/3/7,中级微观经济学,slutskys effects for income-inferior goods,some goods are income-inferior (i.e. demand is reduced by higher income). the substitution and income effects oppose each other when an income-inferior goods own price changes.,2019/3/7,中级微观经济学,slutskys effects for income-inferior goods,x2,x1,x2,x1,2019/3/7,中级微观经济学,slutskys effects for income-inferior goods,x2,x1,x2,x2,x1,x1,2019/3/7,中级微观经济学,slutskys effects for income-inferior goods,x2,x1,x2,x2,x1,x1,the pure substitution effect is as for a normal good. but, .,2019/3/7,中级微观经济学,slutskys effects for income-inferior goods,x2,x1,x2,x2,x1,x1,(x1,x2),the pure substitution effect is as for a normal good. but, the income effect is in the opposite direction.,2019/3/7,中级微观经济学,slutskys effects for income-inferior goods,x2,x1,x2,x2,x1,x1,(x1,x2),the pure substitution effect is as for a normal good. but, the income effect is in the opposite direction. good 1 is income-inferior because an increase to income causes demand to fall.,2019/3/7,中级微观经济学,slutskys effects for income-inferior goods,x2,x1,x2,x2,x1,x1,(x1,x2),the overall changes to demand are the sums of the substitution and income effects.,2019/3/7,中级微观经济学,giffen goods,in rare cases of extreme income-inferiority, the income effect may be larger in size than the substitution effect, causing quantity demanded to fall as own-price rises. such goods are giffen goods.,2019/3/7,中级微观经济学,slutskys effects for giffen goods,x2,x1,x2,x1,a decrease in p1 causes quantity demanded of good 1 to fall.,2019/3/7,中级微观经济学,slutskys effects for giffen goods,x2,x1,x2,x1,x1,x2,a decrease in p1 causes quantity demanded of good 1 to fall.,2019/3/7,中级微观经济学,slutskys effects for giffen goods,x2,x1,x2,x2,x1,x1,x1,x2,substitution effect,income effect,a decrease in p1 causes quantity demanded of good 1 to fall.,2019/3/7,中级微观经济学,slutskys effects for giffen goods,slutskys decomposition of the effect of a price change into a pure substitution effect and an income effect thus explains why the law of downward-sloping demand is violated for extremely income-inferior goods.,201

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