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Furthermore, with fake accounts, it becomes even easier to game facebook pagerank.

You're assuming that Facebook's ranking algorithm is incredibly naive and is only counting the raw number of likes.

What if you add in whether you're friends with anyone who liked it. Or at least a few degrees away.

Facebook already finds and deletes fake accounts. Trust me -- I've had my test accts blown away regularly!

All good points, but in all of your scenarios having fake/stolen accounts would still allow you to game the system. Friend networks can be staged/stolen just as easily as an account.

Unless they implement trust. "Your friends [in this friend list] like these pages today."

Allowing only trusted search results would greatly reduce the number of links returned. For most searches no results at all would be returned.

When you click through to the page, you'll see if any of your friends liked it.

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