<p>Completeness property says that for any <span class="math-container">$a,b\in R$</span> with <span class="math-container">$a=(x_1,y_1)$</span> and <span class="math-container">$b=(x_2,y_2)$</span> , <span class="math-container">$\:$</span> <span class="math-container">$a\succ b$</span> or <span class="math-container">$b\succ a$</span> or both must be satisfied. However for any <span class="math-container">$x_1\le x_2$</span> and <span class="math-container">$y_2\le y_1$</span> neither <span class="math-container">$a\succ b$</span> nor <span class="math-container">$b\succ a$</span> , thus the completeness property doesn't satisfied.</p>

CC BY-SA 4.0
2019-09-28T11:42:36.800Z
2019-09-28T11:42:36.800Z
Taha Direk
<p>Does this satisfy completeness property? I need an intuitive explanation of this preference relation as well.</p>

<p>I am confused about the way how this relation is defined. The commodity Y in the first bundle is strictly preferred to the commodity Y in second bundle.</p>

CC BY-SA 4.0
2019-09-26T17:05:06.990Z
What's the definition of the completeness property? Perhaps that could be a good start.
Art
CC BY-SA 4.0
2019-09-26T18:13:09.147Z
What happens if you compare $(1,6)$ against $(2,3)$, and $(1,6)$ against $(4,5)$, and $(2,3)$ against $(4,5)$?
Henry
<microeconomics><preferences>
A preference relation $\succ$ is defined as $(x_1,y_1)\succ (x_2,y_2)$ if $x_1>x_2$ and $y_1> y_2$
DrStrangeLove
# A preference relation $\succ$ is defined as $(x_1,y_1)\succ (x_2,y_2)$ if $x_1>x_2$ and $y_1> y_2$

(Asked by: username_0 on 2019-09-26)

Does this satisfy completeness property? I need an intuitive explanation of this preference relation as well.

I am confused about the way how this relation is defined. The commodity Y in the first bundle is strictly preferred to the commodity Y in second bundle.

**Tags:** microeconomics, preferences
> **Comments:**
> **username_1**: What's the definition of the completeness property? Perhaps that could be a good start.  
> **username_2**: What happens if you compare $(1,6)$ against $(2,3)$, and $(1,6)$ against $(4,5)$, and $(2,3)$ against $(4,5)$?  

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## 1 answers

### Answer by username_3 on 2019-09-28. Score: 0

Completeness property says that for any $a,b\in R$ with $a=(x\_1,y\_1)$ and $b=(x\_2,y\_2)$ , $\:$ $a\succ b$ or $b\succ a$ or both must be satisfied. However for any $x\_1\le x\_2$ and $y\_2\le y\_1$ neither $a\succ b$ nor $b\succ a$ , thus the completeness property doesn't satisfied.


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