The matching $\backslash ((\backslash$alpha$\_1,\backslash$beta$\_1),(\backslash$alpha$\_2,\backslash$beta$\_2),(\backslash$alpha$\_3,\backslash$beta$\_3)\backslash ),$ is this considered

$-**$Preferences of A$\text{'}$s$**$:

$-\backslash (\backslash$alpha$\_1\backslash )$: $\backslash (\backslash$beta$\_2,\backslash$beta$\_1,\backslash$beta$\_3\backslash )$

$-\backslash (\backslash$alpha$\_2\backslash )$: $\backslash (\backslash$beta$\_3,\backslash$beta$\_2,\backslash$beta$\_1\backslash )$

$-\backslash (\backslash$alpha$\_3\backslash )$: $\backslash (\backslash$beta$\_2,\backslash$beta$\_3,\backslash$beta$\_1\backslash )$

$-**$Preferences of B$\text{'}$s$**$:

$-\backslash (\backslash$beta$\_1\backslash )$: $\backslash (\backslash$alpha$\_1,\backslash$alpha$\_2,\backslash$alpha$\_3\backslash )$

$-\backslash (\backslash$beta$\_2\backslash )$: $\backslash (\backslash$alpha$\_2,\backslash$alpha$\_3,\backslash$alpha$\_1\backslash )$

$-\backslash (\backslash$beta$\_3\backslash )$: $\backslash (\backslash$alpha$\_2,\backslash$alpha$\_3,\backslash$alpha$\_1\backslash )$

Given the matching:

$-\backslash (\backslash$alpha$\_1\backslash )$ is matched with $\backslash (\backslash$beta$\_1\backslash )$

$-\backslash (\backslash$alpha$\_2\backslash )$ is matched with $\backslash (\backslash$beta$\_2\backslash )$

$-\backslash (\backslash$alpha$\_3\backslash )$ is matched with $\backslash (\backslash$beta$\_3\backslash )$