HI Krakatu, I'd like to thank you for your efforts with designing our logo. I really liked the logo designs you submitted, and wish I could designate more than one winner. While it wasn't our top choice, it also doesn't seem right that you won't see any benefit from the work you've done.
So, having said that, I'd like to propose this:
--Obviously there was only one winner, and we've selected that design, and that designer will win the prize money that we've paid to LogoTournament.
--While you didn't "win" the LogoTournament prize money, if you would like to sell us the rights to the logos you've created for us, I would be willing to offer a secondary prize of US$100. (I know that isn't a ton of money, but it's all our budget will allow for at the moment.) We can make that payment via Paypal.
--If you accept, we would also look to continue to use your services in the future if we need additional design work
Please feel free to let me know your thoughts. I hope you don't find this offer to be inappropriate. I just wanted to do whatever I could to thank you for your hard work.