>>28789287>>28789298BW introduced Triple Battle and Rotation Battle, Triples were exclusive of Black, Rotations were exclusive of White. The only trainers that could be rematched with these battles are on Opelucid City.
Comes BW2 and PWT allows both Triples and Rotations in conjuction with Singles and Doubles.
XY introduced Inverse Battles. No third/sequels means that only a trainer with shitmons for a team is the only time in the games were Inverse Battles occur until SM release. (Triples and Rotations were added in Battle Tower/Subway/Maison a Gen later after their introduction)