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.

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    $\begingroup$ What's the definition of the completeness property? Perhaps that could be a good start. $\endgroup$ – Art Sep 26 '19 at 17:05
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    $\begingroup$ What happens if you compare $(1,6)$ against $(2,3)$, and $(1,6)$ against $(4,5)$, and $(2,3)$ against $(4,5)$? $\endgroup$ – Henry Sep 26 '19 at 18:13

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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