At some point, yes they will likely pay a dividend... it won't be while Mr. Buffett is in charge. Bill Gates has indicated that at some point, the board will likely have to re-evaluate the dividend policy with an ever growing and accelerating cash flow.
That said, when Mr. Buffett is no longer with us (hopefully a VERY long time from now), there will be a fight for the future of Berkshire. On the one side will be "guardians of the culture" that want the company to remain true to the empire that Warren built. This will be the dominant faction at first... but many of them will likely sell their shares if Warren is not there. The other faction will be what could be called 'Wall Street'... this group will see the ENORMOUS value that is locked up in Berkshire (remember what value was released to shareholders of the old Phillip Morris... ? Imagine that magnified by decades of Warren Buffett's obsession and talents building one of the most amazing corporate empires in the world. This Wall Street group will likely begin buying shares in the drop of long time investors evacuating after Mr. Buffett... and the fight will be on. Ajit Jain (if he is, as I expect, the next CEO) and Howard Buffett (assumably the next Chairman) will not have the extreme loyalty and trust that partners have in Warren Buffett. It will be a bit of a fight... the dividend may be used to placate Wall Street, but it could backfire as it will just draw in more investors that want cash now...
How does that all turn out? I have no idea... it is hard to imagine that the Guardians of the Culture would not handily win such a vote early... and that Wall Street will eventually acquire enough shares to turn the tide. The potential wildcard is how many of the younger Buffett fans will hold on to that legacy, and what happens with the charities holdings.
Sentiment: Strong Buy