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<p class="MsoNormal"><span lang="EN-US"><br/><!--Element not supported - Type: 8 Name: #comment--><op></op></span></p>

<p class="MsoNormal"><span lang="ZH-CN" style="font-family: SimSun;">在下目前在翻微观经济学的书</span><span lang="EN-US">,</span><span lang="EN-US"><op></op></span></p>

<p class="MsoNormal"><span lang="ZH-CN" style="font-family: SimSun;">里头的练习题想不出头绪¸麻烦各位指点了</span><span lang="EN-US"><op></op></span></p>

<p class="MsoNormal"><span lang="EN-US"><!--Element not supported - Type: 8 Name: #comment--> <!--Element not supported - Type: 8 Name: #comment--><op></op></span></p>

<p class="MsoNormal"><span lang="ZH-CN" style="font-family: SimSun;">以知条件</span><span lang="EN-US">, </span><span lang="ZH-CN" style="font-family: SimSun;">两物品的价格</span><i><span lang="EN-US">p</span></i><span lang="EN-US">= (<i>p</i>1,<i>p</i>2)</span><span lang="ZH-CN" style="font-family: SimSun;">和其间接效用函数</span><span lang="ZH-CN">
                </span><i><span lang="EN-US">v</span></i><span lang="EN-US">(<i>p,w</i>)</span><span lang="EN-US"><op></op></span></p>

<p class="MsoNormal"><span lang="ZH-CN" style="font-family: SimSun;">假设今天</span><i><span lang="EN-US">p</span></i><span lang="ZH-CN" style="font-family: SimSun;">价格下跌</span><span lang="EN-US">, <i>v</i>(<i>p</i>,<i>w</i>) = <i>v</i>(<i>p</i>`,w`)</span><span lang="EN-US"><op></op></span></p>

<p class="MsoNormal"><span lang="EN-US"><!--Element not supported - Type: 8 Name: #comment--> <!--Element not supported - Type: 8 Name: #comment--><op></op></span></p>

<p class="MsoNormal"><span lang="ZH-CN" style="font-family: SimSun;">第一个问题</span><span lang="EN-US">:</span><span lang="EN-US"><op></op></span></p>

<p class="MsoNormal"><span lang="ZH-CN" style="font-family: SimSun;">由于这公式</span><span lang="EN-US">w: w= <i>p</i>1<i>x</i>1 +<i>p</i>2<i>x</i>2, </span><span lang="ZH-CN" style="font-family: SimSun;">那</span><span lang="ZH-CN" style="font-family: SimSun;">么</span><span lang="ZH-CN" style="font-family: SimSun;">价格下跌表示</span><span lang="EN-US">w`
< w?</span><span lang="EN-US"><op></op></span></p>

<p class="MsoNormal"><span lang="ZH-CN" style="font-family: SimSun;">可是想想又不对</span><span lang="EN-US">, </span><span lang="ZH-CN" style="font-family: SimSun;">因为间接效用函数数值不变</span><span lang="ZH-CN">
                </span><i><span lang="EN-US">v</span></i><span lang="EN-US">(<i>p</i>,w)=v(<i>p</i>`,w`),</span><span lang="EN-US">
                        <op></op></span></p>

<p class="MsoNormal"><span lang="ZH-CN" style="font-family: SimSun;">那么</span><i><span lang="EN-US">p</span></i><i><span lang="EN-US">`</span></i><span lang="ZH-CN" style="font-family: SimSun;">下跌是代表</span><span lang="EN-US">w`</span><span lang="ZH-CN" style="font-family: SimSun;">上涨</span><span lang="EN-US">?</span><span lang="EN-US"><op></op></span></p>

<p class="MsoNormal"><span lang="EN-US"><!--Element not supported - Type: 8 Name: #comment--> <!--Element not supported - Type: 8 Name: #comment--><op></op></span></p>

<p class="MsoNormal"><span lang="ZH-CN" style="font-family: SimSun;">第二个问题</span><span lang="EN-US">:</span><span lang="EN-US"><op></op></span></p>

<p class="MsoNormal"><span lang="ZH-CN" style="font-family: SimSun;">假设后来才得知是</span><i><span lang="EN-US">p</span></i><span lang="EN-US">1</span><span lang="ZH-CN" style="font-family: SimSun;">的价格下滑</span><span lang="EN-US"><op></op></span></p>

<p class="MsoNormal"><span lang="ZH-CN" style="font-family: SimSun;">所以是</span><i><span lang="EN-US">p</span></i><span lang="EN-US"> = (<i>p</i>1,<i>p</i>2) </span><span lang="ZH-CN" style="font-family: SimSun;">变成</span><span lang="ZH-CN">
                </span><i><span lang="EN-US">p</span></i><span lang="EN-US">`
=(<i>p</i>1`,<i>p</i>2)</span><span lang="EN-US"><op></op></span></p>

<p class="MsoNormal"><span lang="ZH-CN" style="font-family: SimSun;">而且其直接效用函数</span><span lang="EN-US"> u(x) </span><span lang="ZH-CN" style="font-family: SimSun;">是严格凹性</span><span lang="EN-US">,</span><span lang="EN-US"><op></op></span></p>

<p class="MsoNormal"><span lang="ZH-CN" style="font-family: SimSun;">请问</span><span class="unicode"><span lang="ZH-CN" style="font-family: SimSun;">对于</span></span><i><span lang="EN-US">w</span></i><span lang="EN-US">`</span><span lang="ZH-CN" style="font-family: SimSun;">和</span><span class="unicode"><i><span lang="EN">p</span></i></span><span class="unicode"><span lang="EN">1` (<i>w`</i></span></span><span class="unicode"><span lang="ZH-CN" style="font-family: SimSun;">在上</span></span><span class="unicode"><span lang="EN">p1`</span></span><span class="unicode"><span lang="ZH-CN" style="font-family: SimSun;">在下</span></span><span class="unicode"><span lang="EN">)</span></span><span class="unicode"><span lang="ZH-CN" style="font-family: SimSun;">的一次导数跟二次导数各代表什幺意义</span></span><span class="unicode"><span lang="EN">?</span></span><span class="unicode"><span lang="EN"><op></op></span></span></p>

<p class="MsoNormal"><span class="unicode"><span lang="EN"><!--Element not supported - Type: 8 Name: #comment--> <!--Element not supported - Type: 8 Name: #comment--><op></op></span></span></p>

[此贴子已经被作者于2008-4-2 19:26:22编辑过]

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关键词：间接效用函数 效用函数 微观经济学 价格下跌 微观经济 价格下跌 经济学 练习题 而且

第一题在下自己搞懂了, 第二题我觉得我翻的不是很精准, 这是英文原文

 

Assume that the only difference between p and p` is in one particular price which is p1, and direct utility function u(x) is strictly concave.

Use the known characteristics of the indirect utility function to consider the shape (first and second derivatives) of w` with respect to p`.

If your analysis suggests any interesting results, state and prove them.

[此贴子已经被作者于2008-4-2 23:14:18编辑过]