Acrobatic ranks & Rod of Balance - stack or not?


Rules Questions


Rod of balance:
ROD OF BALANCE
Price 15,000 gp; Aura faint abjuration; CL 5th; Weight 5 lbs.
This short, slender rod appears to be crafted from solid iron, though it is incredibly light. In this shortened form, the rod has no powers. However, when the wielder pushes a small button on one end of the rod (a move action), the rod springs open to a 5-foot length, and its powers become available for use.
Once extended, the rod possesses several powers that add to the wielder's acrobatic abilities. The wielder of the rod receives a +10 competence bonus on all Acrobatics checks involving long jumps and high jumps; additionally, the wielder covers double the normal distance for a jump when making an Acrobatics check. The individual holding the rod also gain a +4 dodge bonus to AC when fighting defensively instead of the usual +2 bonus. Also, while using this item, the user of the rod cannot be knocked prone, and takes only half damage from falling. A rod of balance emits a faint aura of the abjuration and transmutation schools.
CONSTRUCTION REQUIREMENTS
Cost 7,500 gp
Craft Rod, cat's grace, feather fall, jump

Acrobatics special:
Special: If you have 3 or more ranks in Acrobatics, you gain a +3 dodge bonus to AC when fighting defensively instead of the usual +2, and a +6 dodge bonus to AC when taking the total defense action instead of the usual +4.

The question is, do these bonuses stack as they are both dodge bonuses, or not?

Grand Lodge

They don't stack, as both replace the usual bonus instead of increasing it.

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