After seeing where some of your posts lie is is safe to assume that you want to know about signing a message for an account sale that you are doing.
In that case the buyer wants to see if you the actual owner of that account that you claim to own. He or she is wanting to see if you can sign a message from a previous address that was staked on it's account in a previous post which would be nearly impossible if you were the original account holder or from the time that they are asking you to sign a message from.
I had other thread for this reason, but after i got negative trust i changed my minds and not selling anymore, so thought i'll know more about signed messages

Well after reading answers, i started to unserstand more about signed messages, as my thoughts about them were very different before reading!
There is a complete and very well documented topic
here, thanks to shorena.
One use case for signing messages is to
stake your address for future reference.
HTH.
yes this is very good topic, but problem is that it don't have all answers
