Slade from CW's Arrow, Wayne from The Dark Knight [Prime]
Both in peak. Both have basic knowledge of opponents weaponry, gear and abilites. 1 - 3 are pre Mirakuru 4 - 5 post.
Round 1:Bruce in full League of Shadows gear vs Slade with his standard island gear.Morals on. Begin 10 feet apart on Lian Yu. Win by death or KO
Round 2: Both unarmed. Fight in a bare white room. Win by death or KO.
Round 3: Both bloodlusted and Morals off. Both trapped on Lian Yu. 1 week prep time. Hunting each other and come across one another in a large abandoned military warehouse. Win by death.
Round 4: Slade is active as Deathstroke in Gotham eliminating several Gotham socialites. Nolan Batman has full bio on him and wants to bring him in, 3 days prep. Slade knows vaguely of the Batman [only his existence, not tech or abilities] and has anticipated his intervention [3 days prep too]. Win by death, ko or incap.
Round 5: Slade wants to kill the Bat. Batman vs Slade on the Gotham docks. Gotham Knight feats applicable here. Begin 20 feet apart. Morals on. Win by death, ko or incap.
Bonus round: Ollie arrives on the island with 2 weeks prep time and attempts to kill the two. Morals on. Begin 50 feet apart in cover in the middle of a forest on Lian Yu.