PP
In my company's operation we fly Concorde using performance conventions very similar to any other airliner. It was certified to achieve similar (and in most parameters better) numbers than conventional aircraft. Our performance calculation results in just one V1 speed (like any other jet transport I know of). The deeper logic behind it are buried in regulations and certification procedures and I for one cannot quote them without revisiting performance "A" books long shelved!!
What I can say is that you can take a single engine failure into the air from V1 or stop safely with such a failure from before V1, but no performance calulation could have protected any aircraft which suffered the sequence of events that occured that day in Paris - there is nothing they could have done.
(PS: Don't worry about Shakespeare - I never did understand his language .....)