Yes, Brood Sliver's ability to create a 1/1 colorless Sliver creature token whenever a Sliver deals combat damage to a player is cumulative, meaning the effect "stacks."
In Magic: The Gathering, abilities that Slivers grant, as well as power/toughness boosts, are generally cumulative. This means that if you have multiple sources granting the same ability, you benefit from each instance. Unlike some abilities, such as flying, where having more than one instance provides no additional benefit, an ability that creates a token or causes an effect benefits from being present multiple times.
How Brood Sliver's Ability Functions Cumulatively
When the game checks for triggered abilities, each instance of the Brood Sliver's ability will trigger independently.
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Multiple Brood Slivers on the Battlefield: If you control two separate Brood Sliver creatures, and one of your Slivers (or even one of the Brood Slivers themselves) deals combat damage to a player, each of your Brood Slivers will recognize that trigger condition. Consequently, each Brood Sliver's ability will trigger separately, allowing you to create two 1/1 colorless Sliver creature tokens – one from each Brood Sliver. This effectively doubles the token generation for each instance of combat damage.
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Strategic Benefits of Stacking:
- Accelerated Board Presence: Multiple Brood Slivers dramatically increase your capacity to generate tokens, quickly populating the battlefield with a larger force.
- Overwhelming Opponents: A strong and rapidly growing token presence can provide a significant numerical advantage, making it easier to overwhelm an opponent through combat.
- Synergy with Other Slivers: These newly created tokens are Slivers themselves and will immediately benefit from any global abilities or power/toughness boosts granted by other Slivers you control (e.g., haste from a Fury Sliver, vigilance from a Synchronous Sliver, or a static +1/+1 from a Muscle Sliver).
Cumulative Abilities vs. Redundant Abilities
The concept of "cumulative" applies to abilities where each instance provides a distinct, additional benefit. For Brood Sliver, each trigger leads to another token. This contrasts with "redundant" abilities like flying or hexproof where a creature having two instances of the same ability gains no extra advantage over having just one. For instance, a creature with two instances of flying does not fly "more" or gain a stronger aerial advantage than a creature with just one.
For further reference on Brood Sliver's specifics and interactions, you can consult its official details on the Gatherer database.