1. Producer Theory 1. Technology yi =input of good i, y =output of good i, i= yi-yi=net output, y yn) is a production plan Production possibility set Y=technologically feasible production plans yE Rn) y E Y is technologically efficient if there is no yE Y s.t. y>y

Social welfare function W: Rn-R gives social utility W(u1, u2,. un ). W is strictly increasing is socially optimal if it solves max Wu(a1), u2(a2),., un(n) st>Tis>w Proposition 1.29. If is SO, it is PO. I Proposition 1. 30. Suppose that preferences are continuous, strictly monotonic, and strictly convex. Then, for any PO allocation x* with >>0,v i, there exist ai

(1)i(p, u) is zero homogeneous in p (2) substitution matrix: Dpi(p, u)<0 (3)symmetric cross-price effects: 23i(p 2=2z(p, u) (4) decreasing:=n≤0

Thus, to find Nash equilibria in IN=N, A(Si)), uin, we use the conditions: for ach player i (1)he is indifferent among all strategies in St,and (2)any strategy in St is at least as good as any strategy in S Example 3.7.(Meeting in an Airport ). Mr Wang and Ms Yang are to meet in an irport. However, they do not know whether they are to meet at door a or door B. The payoffs are specified in the following

then there exists AE R\ such that (Kuhn-Tucker condition) G(s') =0 and 1. Lagrange Method for Constrained Optimization FOC: D.L(,\)=0. The following classical theorem is from Takayama(1993, p.114). Theorem A-4 (Sufficieney). Let f and, i= ,..m, be quasi-concave, where Theorem A-1. (Lagrange). For f: and G\\, consider the following G=(.8 ) Let r' satisfy the Kuhn-Tucker condition and the FOC for (A.2). Then, x' problem is a global maximum point if max f() (1)Df(x') =0, and f is locally twice continuously differentiable,or

一、经济意义 二、国内外栽培历史 三、葡萄栽培现状 四、主要种类和优良品种 五、生物学特性

一、相关关系的概念(注意相关关系与函数关系的区别) (一)函数关系 它反映着现象之间存在着严格的依存关系, 也就是具有确定性的对应关系,这种关系可用一 个数学表达式反映出来。 例如某种商品的销售额和销售量之间,由于 价格因素,所以两者可表现为严格的依存关系

一、抽样调查的意义 一般所讲的抽样调查,即指狭义的抽样 调查(随机抽样):按照随机原则从总体中抽 取一部分单位进行观察,并运用数理统计的 原理,以被抽取的那部分单位的数量特征为 代表,对总体作出数量上的推断分析

统计学 统计学是什么? 统计学是对令人困惑费解的问题作出数字设想的艺术。 《大英百科全书》指出:“统计学是一门收集数据、 分析数据、并根据数据进行推断的艺术和科学

本门课程的产生及内容 化学工业是对原料进行化学加工以获得有用的产品。显然,其核心是化学反应过程及其设备,为使 化学反应经济有效的进行,反应器内必须保持某些最佳反应条件,如适宜的压强、温度和物料的纯度。 这些过程统称为前处理