Hamlet begins the round/bout every time. It’s not until Laertes decides to go ahead and just kill him that he initiates any fighting and his “Have at you now!” is hardly an official beginning of a round. It’s not an invitation to play or an announcement or even, really, directed to Hamlet. It feels more like words used to power his own sword.
But Hamlet’s beginnings, like this one, are invitations, are starts to the bouts, each time.