This invokes the KDE help system starting at the KBackgammon help pages (this document).
This changes the mouse cursor to a combination arrow and question mark. Clicking on items within KBackgammon with this arrow will open a help window (if one exists for the particular item) explaining the item's function.
If you have a good idea for the next version of the game, or the program crashes on you, you can select this option to send a bug report to the author.
This will displays version and author information
This displays the KDE version and other basic information.