For those beta players who had played in PvP you could probably understand where I'm coming from with this.
What I mean by "Private" PvP is battling other players privately (Selective?), one on one, or perhaps a guild PvP (Battling amongst your guild). Personally, sometimes I would want to play with certain players over and over again, to my downfall, many other players of a higher rank (Tier) would join and kill us all, ruining the fun for us in our opinions. I'd love for there to be some sort of option for this when the PvP machine comes back online in clockworks, I've enjoyed PvP myself.
If this can happen, we could potentially have a public leader board (Like the one in the beta), a guild leader board (For different guilds), or perhaps it could be something for fun for those who want to just want a quick battle, no strings attached.
I would consider this a good idea, and then there are people who wouldn't consider this a good idea. There would probably be brought about controversy in terms of profit and how crowns are distributed for these "Private" PvP battles, however I want to know what you guys think about the idea of perhaps having a selective PvP battle, one on one, or Guild PvP battles. Feel free to give your input on the matter.
A PvP arena is likely to be implemented at some point in the games life, it was there during the Preview I believe. (unless that was for facing off against endless mobs of enemies.)