There are a lot of different kinds of players out there, and sometimes they won't match with your game style. In which case, someone will have to adapt, or else you just won't play with them.
To the point of so-called "powergamers", I've seen a couple of types. Some are just obsessed with building up power for their characters, and you can play a co-operative game with them as long as you give them scope to do just that. Of course, this may involve some game balancing issues for the GM if there are other players who seek other things. But that is pretty much normal give and take.
I've also run across some players who treat everything like it was a competition. They try to beat the other players (by having the most powerful character, or whatever) and the GM. I think this kind of player is looking for a different kind of game and maybe can't be integrated as well. And of course, most players have a mix of interests and motivations.
Most players like to have a little challenge thrown in there - something for them to sink their teeth into. In this sense there can be some healthy "competition" with the GM, but the motivation here should be to provide an interesting and challenging game, not to beat anyone or prove anything.
To the point of so-called "powergamers", I've seen a couple of types. Some are just obsessed with building up power for their characters, and you can play a co-operative game with them as long as you give them scope to do just that. Of course, this may involve some game balancing issues for the GM if there are other players who seek other things. But that is pretty much normal give and take.
I've also run across some players who treat everything like it was a competition. They try to beat the other players (by having the most powerful character, or whatever) and the GM. I think this kind of player is looking for a different kind of game and maybe can't be integrated as well. And of course, most players have a mix of interests and motivations.
Most players like to have a little challenge thrown in there - something for them to sink their teeth into. In this sense there can be some healthy "competition" with the GM, but the motivation here should be to provide an interesting and challenging game, not to beat anyone or prove anything.