Argyle King
Legend
To determine sequencing of events and actions.
Where all the WotC editions blow it is that they assume whatever a character does starts and ends on its rolled initiative - hence stop-motion combat - rather than using rolled initiative as a segmented measure of time within the round. A move action should start on your rolled init but not end until however long it takes you to travel your intended distance. All spells should have casting times where you start on your init and finish some number of segments later. And so on.
Re-rolling init each round preserves the fog-of-war aspect and shatters the too-predictable nature of strict turn-based init.
I don't want to derail this thread, but I am interested in hearing more about that.
I backed the OSRIC 3rd Edition, and I believe that what you mention is how initiative is handled.
OSRIC 3 - BackerKit OSRIC 3