When one person creates a Dispatch, and someone else is Dispatched as a Resource to that Dispatch, and yet another someone edits the Dispatch, how does L2L keep track of all that?
By whomever is logged into the System each step of the process, whether from their mobile device or computer. The person who creates the Dispatch is not necessarily the person who is Dispatched as a Resource to perform the work. Likewise, neither of the above may make subsequent edits to the Dispatch: complete checklists, add Actions & Components, answer Dispatch Questions, etc.
Notice in the screenshot below that the person who created the Dispatch is not the same person who was Dispatched as a Resource in one of these examples. When you open the Dispatch and then click on the 'Dispatch Change History' button at the bottom of the page, you will see all of the detailed history for this Dispatch: who created it, when it was created, who made each edit and addition, who Completed and Closed the Dispatch, etc., as well as all corresponding times.
The complete history and life and times of a Dispatch is at your fingertips!