Well, obviously.
Problem is, the only players who value winning over money are old players in their twilight who just want to latch on to a contender before they're finished and won't provide anything terribly useful. Players like Holliday, in their prime, forget about it. Of course that doesn't mean the Yankees are out of the picture, not by a long shot. But winning won't be the selling point, it might be a small bonus.
What actions? Taking $30 million per year (something no one else really felt like paying) for the next decade means he's a true gentleman who only wants to win? He went to the Rangers a few years back because Tom Hicks had a total brainfart and offered him a then-obscene contract (that merely looks like a small stretch today). They weren't winning anything and didn't win anything, then A-Rod opted out and jumped to New York because he saw the opportunity to make even more money.
There is no 'greedy ballplayer'. This is their job, they have every right to seek top dollar for what they do, especially since this phase of their life is over when they're 40, probably sooner. I too used to be one of the fans that thought every free agent who didn't come to my team was a greedy poophead, but then I turned 16 and grew out of that thought (not at all implicating you here, for the record).
Its conjecture that these players auction off their talents to the highest bidder? Money is the common denominator. 99% of the players who have anything meaningful to offer you only go for top dollar.