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My earlier post was regarding solo leagues. If you're in an on-line league against other humans, you're strategy needs to change as Kq76 notes.
I usually sort my free agent targets into categories:
a) mediocre player, but would love to have him at basement bargain prices. Offer less than he's asksing, but the most I'd pay right from the outset. A lot of these guys are hit or miss. They either sign right away with me or go with someone else. Seems like they are just glad to play. If they don't like my offer, let them go. I usually target several in this class.
b) Superstar player. If I have extra free agent budget room, I might offer 80% of what I'd be willing to sign him for (probably significant amount above his asking price) and then edge up if necessary.
c) Good solid player and I want to pay him what he's worth. Start out with the highest bid I'd be willing to go. I think he's worth that money. If he bites, great, if he doesn't or someone offers him more, I'm already over the limit of what I thought he's worth, so let him go.
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