With the increasing popularity of LinkedIn I now get two or three requests per day to connect. Students are the most popular but a lot of people who hear me speak also make requests. Here is my idea.
Maybe LinkedIn could offer an option selected by me where the person requesting the connection pays $1 if the request is accepted and the money goes to a charity I designate.
In return for the payment LinkedIn could offer to put that persons messages at the top of my LinkedIn mailbox.