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When does Armor of Agathys take effect given that Damage Reduction happens first?

Consider a character with Heavy Armor Master which says:

  • While you are wearing heavy armor, bludgeoning, piercing, and slashing damage that you take from non magical weapons is reduced by 3.

and Armor of Agathys which says:

You gain 5 temporary hit points for the duration. If a creature hits you with a melee attack while you have these hit points, the creature takes 5 cold damage.

If the character is struck for 3 or fewer points—all damage would be negated by Heavy Armor Master—does the attacker still take the 5 points of damage from the Armor of Agathys? or because the Armor of Agathys did not absorb any damage is the attacker unaffected?

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I would say the Armor of Agathys would still take effect - it's description says if a creature hits you with a melee weapon, not damages you. There are a variety of effects that could mitigate the damage that wouldn't prevent it from being a hit in the first place.

This also makes in-game-world sense; the spell is putting off cold that hurts people from you and your gear; the heavy armor master ability is letting you shrug off attacks that hit your armor, so there's no good simulationist reason the cold shouldn't affect the attacker either.

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  • \$\begingroup\$ Go see rpg.stackexchange.com/questions/53504/… for ordering of DR, temp hp, etc. \$\endgroup\$ – mxyzplk Dec 24 '14 at 15:03
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    \$\begingroup\$ Yep. And it's possible to deal zero damage on a hit, as confirmed by Crawford here and here, so even if the damage is reduced to 0, the attacker is still affected by Armor of Agathys. \$\endgroup\$ – V2Blast Apr 11 '18 at 19:43

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