<p>I have such a question:</p>
<p>In an economy with <span class="math-container">$ \ge 2  $</span>  consumers, each agent’s utility functions are given as:</p>
<p><span class="math-container">$$
(x_1 ,x_2) =max\{2min\{2x_1,x_2\},min\{x_1,4x_2\} \}
$$</span></p>
<p>The endowments in the economy are given as:
<span class="math-container">$ (_1 ,_1) = (1+3,2-)$</span> with  <span class="math-container">$$</span> <span class="math-container">$∈$</span> <span class="math-container">$(0,1)$</span></p>
<p>Find the conditions on <span class="math-container">$$</span> which ensure that a Walrasian equilibrium exists for this
economy. How does <span class="math-container">$$</span> relate to the size of the set of <span class="math-container">$$</span> for which Walrasian
equilibrium is ensured to exist?</p>
<p>I encounter first time with that type of question so I couldnt attempt to solve it.
I appreciate it if you can help.</p>

CC BY-SA 4.0
2022-12-22T04:55:12.257Z
Try to find the demand first. You can use the approach posted here: https://qr.ae/pvDf9H
Amit
CC BY-SA 4.0
2022-12-22T06:30:17.543Z
Thank you for your guidance really  Dear Amit. you save my life literally :)
Tatanik501
<microeconomics>
Walrasian Equilibrium with
Tatanik501
# Walrasian Equilibrium with

(Asked by: username_0 on 2022-12-21)

I have such a question:

In an economy with $ \ge 2 $ consumers, each agent’s utility functions are given as:

$$
(x\_1 ,x\_2) =max\{2min\{2x\_1,x\_2\},min\{x\_1,4x\_2\} \}
$$

The endowments in the economy are given as:
$ (\_1 ,\_1) = (1+3,2-)$ with $$ $∈$ $(0,1)$

Find the conditions on $$ which ensure that a Walrasian equilibrium exists for this
economy. How does $$ relate to the size of the set of $$ for which Walrasian
equilibrium is ensured to exist?

I encounter first time with that type of question so I couldnt attempt to solve it.
I appreciate it if you can help.

**Tags:** microeconomics
> **Comments:**
> **username_1**: Try to find the demand first. You can use the approach posted here: https://qr.ae/pvDf9H  
> **username_0**: Thank you for your guidance really  Dear Amit. you save my life literally :)  

---

## 0 answers

