Caesars Palace is awesome because it has Cher, but shouldn't it also have an apostrophe?

It could belong to Julius (
Caesar's) or more than one member of the family (
Caesars'), but I think there should be some sort of possessive punctuation there.
Update: My
research tells me that the original owner of Caesars Palace intentionally left out the apostrophe to make everyone feel like royalty. I suppose that sort of makes sense. Thoughts?
And speaking of Caesars, this pizza place in Somerville can't seem to make up its mind.

Apostrophe or no apostrophe? That is the question. Oh, wait, that's a different play.