Okay I have a theory about gameing styles... most (not all) of your style comes down to what you think the players are, but there are multi questions to this.
1) Is the DM a player?
2) Are the players writers creating a narative?
3) Are the PCs able to have any narrative control of the world (before/after/or during game play)?
4) Are the players the audience watching 'the show' of the game?
5) Are players trying to 'win' by beating everything as best they can, or are they trying to make the most intresting story, or are they (oh god I hate this one) doing just what there characters would do?
in my eyes the DM is a player, all of the players (including the DM) are only partially creating a narrative, and PCs ALWAYS can help narrative control of the work before/after game play and sometimes during. I believe the Players are the audience, and as such I have 100% banned out of game secrets. I also think we are at 50/50 between players trying to win and trying to make intresting stories (so I expect that they will not always take the best choice).
what about you? Don't feel constrained by JUST my questions, this is open ended... What are Players?