# Microeconomic Theory的笔记(12)

## 按有用程度按页码先后最新笔记

• ### 展开 收起 第512页

Dubos (Stay young, stay simple.)

"Thus, in many aspects, we are not going as deep as we did in Part III in the microanalysis of markets, of market failure, and of the strategic interdependence of market actors. The trade-off in conceptual structure between Parts III and IV reflects, in a sense, the current state of frontier of microeconomic research."

2013-04-06 10:22

• ### 展开 收起 第101页

Exact consumer's surplus and deadweight loss, Hausman(1981). 是这道题的原型。文章本身是非常有意思的。指出如何从从Marshall demand function to get indirect utility function, 剩下的故事就很简单了。通过expenditure function测量CV,EV什么的。 有意思的是，文章的 indirect utility function 是V，在MWG里面变成了-V。 为什么要这样改呢？其实MWG认为这样改之后，这个 indirect utility function will become quasi-c...   (2回应)

2012-11-01 13:58

• ### 展开 收起 Duality in Optimization

小鸥 (小和尚)

Duality in the optimization context basically means the existence of an equivalent representation of the optimization problem in linear form, coming from the connection between linearity and convexity. Basically if a person's decision behavior is more rational (convexity of consumption set), it will be more regular and predictable (convertable to linear optimization of the dual problem). A deeper ...

2012-03-02 18:00

• ### 展开 收起 第12页

小鸥 (小和尚)

Relationship between preference relations and choice rules is investigated in this section, but in fact, it is the rational preference relations and the consistent choice rules that is being compared. What about the question of whether every choice rule, consistent or not, can be explained by a preference relation, and whether every preference relation, rational or not, can be realized in a choice...

2012-02-23 15:40

• ### 展开 收起 第197页

D 6.D.2 IF F and G have same mean, but F have smaller variance than G. Does F second-order stochastically dominate G? If u is strictly concave function, then it is right. Because /公式内容已省略/ Therefore, /公式内容已省略/ because u is strictly concave, therefore, /公式内容已省略/...

2012-02-22 12:43

• ### 展开 收起 Preference and Choice

小鸥 (小和尚)

Takayama oriented his Mathematical Economics stressing the set-theoretic approach to behavioral modeling, in contrast to the traditional calculus approach. In this Oxford book however, it is the rationality assumption (completeness and reflexibility of preference relations), present in earlier times including Takayama's for ease of modeling, that the authors now try to substitute with the new conc...

2012-02-21 04:38

• ### 展开 收起 第173页

P 6.B.2. u and v, both of which represents the same preference, take vNM utility function. then u = av +b, a>0, for all L. this property is quiet strange, even though I could prove it.

2012-02-02 12:41

• ### 展开 收起 第175页

E 6.B.2. u, which represents a preference, has the expected utility form. Then the preference satisfies the independence axiom. P 6.B.3. a rational preference relation satisfies the continuity and independence axiom, the preference could( or should?) have utility function that take the expected utility form. Above says that independence axiom and expected utility form are equivalence, based on ...

2012-02-02 12:29

• ### 展开 收起 第199页

P 6.D.2. From (iii) to (i). Common way to prove is to use two times of integration by parts, one is F, other is /公式内容已省略/ Therefore, we get /公式内容已省略/

2012-02-01 06:39

• ### 展开 收起 第197页

由D 6.D.2，我们可以如P 6.D.1那样得出F<=G吗？ 回答：不能。因为 D 6.D.2要求FUNCTION IS CONCAVE。所以P 6.D.1证明中的构造会出现问题。即P 6.D.1的构造U不是CONCAVE。   (3回应)

2012-01-29 12:22

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