There's a plethora of shoulder mount systems for the EX1. Sometimes it's not which is better but which is better suited to your working method.
Some examples are:
http://www.bhphotovideo.com/c/product/674695-REG/Sony_VCT_SP2BP.html
This interests me because I may need the "tummy" support and it looks to be unobtrusive on a tripod because it folds.
http://www.vortexmedia.com/SB_VSB1.html
Some like this but it needs a counterweight and sticks out too much on a tripod. Some people don't like the "tummy" support because breathing can be an issue amongst other things so this would be an option for that style of shooting. This might feel more "traditional."
http://www.redrockmicro.com/microShoulderMount/index.html
Scroll down to see it used specifically with EX1. Some don't like the two handed approach and others find that more stable. The shoulder pad location pushes the camera forward so counterbalance may be important here too. It can be reconfiged to single handle and the pad placed under the camera (go through pictures) but I suspect that isn't very easy to get on/off the tripod.
There are others but you can see the main style variations. Others seem to be variations on the above.