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Message: <blockquote data-quote="arscott" data-source="post: 1897877" data-attributes="member: 17969">an interesting method that I've heard about is to allow infinite rerolls, but have the die decrease by one step each time.So if your barbarian rolls a 2 for hitpoints, they you can roll again, but you'll be rolling a d10.  That's probably going to work out better than a 2 (and if it doesn't, you can roll a d8), but prevents the 'reroll anything marginally bad' syndrome and the HP inflation that goes with it.I've also seen a setup where players could choose between the natural roll result and the overall result of getting (ave-.5) on every die.  So if your Barbarian rolled a 2 for 2nd level, he could have 18+con instead of 14+con.  But if he rolled a 12 for 3rd level, he'd add that result to the rolled total of 14 (resulting in 26+con), or take the average if it was still better (which at 24+con, it isn't).</blockquote>