To add; we know that any knight can make a knight<sup>**1**</sup>, but to make it 'stick' the knighting knight needs to have the appropriate renown, as explained by the greatest knight of all, [Ser Barristan "The Bold" Selmy][1]:

<sup>[*A Dance With Dragons*:]</sup>
>! As he watched them at their drills, Ser Barristan pondered raising Tumco and Larraq to knighthood then and there, and mayhaps the Red Lamb too. It required a knight to make a knight, and if something should go awry tonight, dawn might find him dead or in a dungeon. Who would dub his squires then? On the other hand, **a young knight’s repute derived at least in part from the honor of the man who conferred knighthood on him**. It would do his lads no good at all if it was known that they were given their spurs by a traitor, and might well land them in the dungeon next to him. They deserve better, Ser Barristan decided. Better a long life as a squire than a short one as a soiled knight.<br /><sup>*-A Song of Ice and Fire: A Dance With Dragons, Part Two - After the Feast (The Kingbreaker).*</sup>

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**1.** From *A Dance With Dragons*:

> “Ser Rolly,” said the big man. “Rolly Duckfield. **Any knight can make a knight, and Griff made me**. And you, dwarf?”<br />*-A Song of Ice and Fire: A Dance With Dragons, Part Two - After the Feast (Tyrion).*
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  [1]: http://awoiaf.westeros.org/index.php/Barristan_Selmy