The Bridgeburners? No, I don't think so. Nobody in the Bridgeburners has the sort of power necessary to add someone to the deck. Except Quick Ben, I suppose, if he had the inclination. Fiddler has quite a bit of sensitivity that allows him to read and interpret the cards pretty accurately. Kalam does too, I think; doesn't he use the Deck at some godsforsaken outpost on his way to -- was it Malazan City? -- to assassinate Laseen?
No, the only name I remember associated with speculation over a Master of the Deck was Paran's.
There's definitely a magical link between the physical Deck and stuff going on with the gods. Which is pretty cool, when you think about it -- it's like a free software update for your Deck, instead of having to go out and buy a whole new Deck when a card is added.
