Slade from CW's Arrow, Wayne from The Dark Knight.
Both in peak. Both have basic knowledge of opponents weaponry, gear and abilites.
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
Morals on. Begin 10 feet apart 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
Bonus round: Ollie arrives on the island with 2 weeks prep time and attempts to kill the two who have had no prep. Morals on. Begin 50 feet apart in cover in the middle of a forest on Lian Yu.