In GMail, if you reply the last message in a thread, the message is sent to the person you are exchanging messages with, does not matter whether you were the last person to send a message. In Mutt, if you reply the last message and it is yours, it sends the e-mail to yourself and not to the other person. How can I emulate the gmail behaviour in Mutt?
Simply replying the last message sent by the person excludes my message from the thread.
Perfect, thank you @derobert. For the sake of completeness, here are the additions in the muttrc that solved the problem:
set reply_self = no