Are there games that should be PvP-free?

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There are certain games in which the existence of PvP is almost mandatory within the setting. City of Heroes, for instance, has plenty of reason for PvP -- heroes and villains fight all the time in comics. (Heck, heroes and other heroes fight all the time, often without a single supervillain in the mix.) On the other hand, some games have a backstory in which developers need to jump several hurdles in order to make PvP seem reasonable. Final Fantasy XI has three different nations that have all put aside hostilities and are united against a group of external threats, making the prospect of combat between players just a bit difficult to swallow.

Nearly every game on the market has some form of PvP, ranging from the strictly regimented instances of Star Trek Online to the free-for-all environment of Darkfall. But there are times and places that players coming to blows make sense, and there are just as surely times and places that it doesn't. What game do you feel really doesn't support a PvP presence? Is it a matter of lore, balance, or just personal taste? And would you be happier for the game if developers paid less attention to PvP, or would you like to see the PvP game addressed and brought up to par?

TH

All mmo have some kind of PVP, even ATITD who is a crafting game have PVP just not the one you make with sword.