Two people pitch the same underlying idea. One asks for a modest version they assume is safer to approve. The other asks for the full version. The room's response to each is not actually about the idea.
What the research found
Negotiation researchers Adam Galinsky and Thomas Mussweiler studied how the first number put on the table in a negotiation shapes everything that follows, and found the effect was strong enough that in one study the correlation between the opening offer and the final agreed price reached .85. The first offer functions as an anchor, pulling the rest of the negotiation toward it, regardless of what either side might have accepted going in.
Why the modest ask quietly costs more than it saves
Scaling an idea down before presenting it, on the assumption that a smaller version is more likely to be approved, does more than lower the ceiling of what gets approved. It sets the anchor the entire discussion will be measured against, meaning the final outcome lands closer to the diluted version than to what the idea actually needed to work.
Where to start
Bring the full version of a proposal or ask, and let the room do its own editing, rather than editing it down in advance on the room's behalf.
The final outcome will still likely be less than the full ask. But it will be less than a number that started higher, not less than a number you already lowered before anyone else weighed in.
Reading how much room a specific room actually has to say yes to the full version, versus when a scaled-down opener is genuinely warranted, is a judgment worth making deliberately rather than by default. What this gives you is the reason the default is worth challenging first.
There is a specific way to open with the full ask without it sounding unreasonable, and it is worth working out before your next negotiation or proposal.