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chapter nine buying and selling 购买和销售 *中级微观经济学 structure uendowments (禀赋) ubudget constraints with endowments unet demands price offer curve uexample: labor supply comparative statics uslutsky equation revisited date中级微观经济学 buying and selling utrade involves exchange - when something is bought something else must be sold. uwhat will be bought? what will be sold? uwho will be a buyer? who will be a seller? date中级微观经济学 buying and selling uand how are incomes generated? uhow does the value of income depend upon commodity prices? uhow can we put all this together to explain better how price changes affect demands? date中级微观经济学 endowments uthe list of resource units with which a consumer starts is his endowment (禀赋). ua consumers endowment will be denoted by the vector (omega). date中级微观经济学 endowments ue.g. states that the consumer is endowed with 10 units of good 1 and 2 units of good 2. uwhat is the endowments value? ufor which consumption bundles may it be exchanged? date中级微观经济学 endowments up1=2 and p2=3 so the value of the endowment is uq: for which consumption bundles may the endowment be exchanged? ua: for any bundle costing no more than the endowments value. date中级微观经济学 budget constraints revisited uso, given p1 and p2, the budget constraint for a consumer with an endowment is uthe budget set is date中级微观经济学 budget constraints revisited x2 x1w1 w2 date中级微观经济学 budget constraints revisited x2 x1w1 w2 budget set date中级微观经济学 changing endowments x2 x1 (w1 ,w2 ) (w1 ”,w2 ”) (w1,w2 ) changing the endowment date中级微观经济学 changing prices x2 x1w1 w2 changing prices of the endowment date中级微观经济学 changing prices x2 x1w1 w2 budget set date中级微观经济学 changing prices x2 x1w1 w2 the endowment point is always on the budget constraint. so price changes pivot the constraint about the endowment point. date中级微观经济学 net demand uthe constraint is uthat is, the sum of the values of a consumers net demands (净需求) is zero. date中级微观经济学 net demands usuppose and p1=2, p2=3. then the constraint is uif the consumer gross demands (毛 需求)(x1*,x2*) = (7,4), then 3 good 1 units exchange for 2 good 2 units. net demands are x1*- w1 = 7-10 = -3 and x2*- w2 = 4 - 2 = +2. date中级微观经济学 net demands p1=2, p2=3, x1*-w1 = -3 and x2*-w2 = +2 so the purchase of 2 extra good 2 units at $3 each is funded by giving up 3 good 1 units at $2 each. date中级微观经济学 net demands at different prices x2 x1w1 w2 x2* x1* at prices (p1,p2) the consumer sells units of good 1 to acquire more units of good 2. net seller of good 1 date中级微观经济学 x2 x1w1 w2 x2* x1* at prices (p1,p2) the consumer sells units of good 2 to acquire more of good 1. net buyer of good 1 net demands at different prices date中级微观经济学 x2 x1 x2*=w2 x1*=w1 at prices (p1”,p2”) the consumer consumes her endowment; net demands are all zero. autarky net demands at different prices date中级微观经济学 offer curve x2 x1w1 w2 price-offer curve contains all the utility-maximizing gross demands for which the endowment can be exchanged. date中级微观经济学 net demands x2 x1w1 w2 price-offer curve sell good 1, buy good 2 date中级微观经济学 net demands x2 x1w1 w2 price-offer curve buy good 1, sell good 2 date中级微观经济学 因课件太大,无法上传。本处删 除了2张关于提供曲线和需求曲 线的几何图形的图片格式,请看 教材图形。cym date中级微观经济学 some results about price change uif a consumer is a net seller of a good, when the price of the good decreases, if she remains a buyer then the consumer is worse off. uif a consumer if a net buyer of a good, when the price decreases, the consumer will remain a buyer and be better off. date中级微观经济学 因课件太大,无法上传。本处删除了2 张关于价格变动(商品1价格下降、上 升)的几何图形的图片格式,请看教 材图形。cym date中级微观经济学 labor supply ua worker is endowed with $m of nonlabor income and r hours of time which can be used for labor or leisure. w = (r, m). uconsumption goods price is pc. uw is the wage rate. date中级微观经济学 labor supply uthe workers budget constraint is where c, r denote gross demands for the consumption good and for leisure. that is endowment value expenditure date中级微观经济学 labor supply rearranges to date中级微观经济学 labor supply c r r endowmentm ($) date中级微观经济学 labor supply c r r endowment m date中级微观经济学 labor supply c r r endowment m date中级微观经济学 labor supply c r r endowment m slope = , the real wage rate date中级微观经济学 labor supply c r r endowment m c* r* leisure demanded labor supplied date中级微观经济学 labor supply curve date中级微观经济学 slutskys equation revisited uslutsky: changes to demands caused by a price change are the sum of a pure substitution effect, and an income effect. uthis assumed that income y did not change as prices changed. but does change with price. how does this modify slutskys equation? date中级微观经济学 slutskys equation revisited ua change in p1 or p2 changes so there will be an additional income effect, called the endowment income effect (禀赋收入效应). uslutskys decomposition will thus have three components a pure substitution effect an (ordinary) income effect, and an endowment income effect. date中级微观经济学 slutskys equation revisited x1 w2 w1 x2 x2 x1 initial prices are (p1,p2). date中级微观经济学 slutskys equation revisited x1 w2 w1 x2 x2 x1” x2” initial prices are (p1,p2). final prices are (p1”,p2”). x1 date中级微观经济学 slutskys equation revisited x1 w2 w1 x2 x2 x1” x2” initial prices are (p1,p2). final prices are (p1”,p2”). how is the change in demand from (x1,x2) to (x1”,x2”) explained? x1 date中级微观经济学 slutskys equation revisited x1 w2 w1 x2 x2 x1 initial prices are (p1,p2). date中级微观经济学 slutskys equation revisited x1 w2 w1 x2 x2 x1” x2” initial prices are (p1,p2). final prices are (p1”,p2”). x1 date中级微观经济学 slutskys equation revisited x1 w2 w1 x2pure substitution effect date中级微观经济学 slutskys equation revisited x1 w2 w1 x2pure substitution effect date中级微观经济学 slutskys equation revisited x1 w2 w1 x2pure substitution effect ordinary
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