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House Rule: Solving for Hit Point Inflation

A character's Constitution score is the lowest a character's maximum hit points can be. Changes & Examples A character's Constitution modifier is no longer applied to the hit points a character gains each level. The character's Constitution score, instead, sets the minimum threshold for the character's maximum hit points. Example: A 2nd level fighter in B/X, for example, with a 15 Constitution would not have a maximum of 2d8+2 hit points but, instead, would have rolled only 2d8 for her maximum hit points. No bonuses or modifiers applied. If the rolled hit points were lower than the fighter's Constitution score, she would take the 15 Constitution as her max hit point total instead of what she rolled with her hit dice. What is this? This house rule is a lot simpler than it seems from the description above. I tried to make it easy to understand but, even reading it, it seems a lot weirder on the page than it is in practice. In pretty much all