How Small Contributions Become Big Impact: The Math Behind Fair Funding

March 20, 2026 · 7 min read

Imagine two community projects competing for funding. Project A is a community garden in East Oakland. It has 100 supporters, each contributing $1. Project B is a private park renovation backed by one wealthy donor who writes a check for $10,000.

In a traditional funding system, Project B wins every time. Ten thousand dollars beats one hundred dollars. End of story.

But what if we designed a funding system that valued how many people cared, not just how much money was involved? What if 100 people giving $1 could actually outperform one person giving $10,000?

That's not hypothetical. It's real math, and it's already being used by communities around the world.

The Square Root Trick

Here's how it works. Instead of adding up donations directly, you take the square root of each person's contribution, add those square roots together, and then square the total. The result determines how much matching funding the project receives from a shared pool.

Let's do the numbers. Project A has 100 contributors giving $1 each. The square root of $1 is $1. Add those up: 100. Square the total: 10,000. Project A gets $10,000 in matched funding from the pool.

Project B has 1 contributor giving $10,000. The square root of $10,000 is $100. Square that: $10,000. Project B gets $10,000 in matched funding too.

They tied on the matching, which is worth sitting with for a second. Project A still collected $100 directly and Project B collected $10,000, so the totals are nowhere near each other. From the matching pool's perspective the two are equivalent, because the pool is measuring how many people showed up rather than how much they had.

Now imagine Project A has 400 supporters at $1 each. Square roots add to 400. Squared: $160,000 in matched funding. The single whale's $10,000 only generates $10,000 in matching. Grassroots support wins by a factor of 16.

This Already Works in the Real World

Gitcoin, a platform for funding open-source software and public goods, has run multiple rounds of quadratic funding since 2019. They've distributed over $50 million using this exact formula.^[1] The results have been remarkable.

Projects with hundreds of small contributors consistently out-raise projects backed by a few large ones. Local education programs, open-source tools for nonprofits, and neighborhood environmental monitoring all pull outsized matching for the same reason: a lot of people cared enough to give a little.

Colorado's state government has even experimented with quadratic voting concepts in their legislative process, using a system where representatives allocate “voice credits” across issues they care about. The underlying principle is the same one at work in the funding math: concentration hits diminishing returns, so outcomes drift toward what more people actually wanted.

Why This Matters for Your Community

Think about how funding works in your community right now. A neighborhood association wants to fund three projects: fixing up the community center, starting a free tutoring program, and installing better street lighting. In a traditional system, whoever has the richest backer wins. The project with a city council member's support gets the money. The tutoring program, which has fifty parents excited but no wealthy champion, gets nothing.

Quadratic funding flips this. Those fifty parents each putting in $5 generates a massive matching multiplier. The tutoring program wins because more people want it, even though no single person is putting up big money. The system measures community desire, not individual wealth.

Beyond Dollars: Quadratic Commitment

Goodkeep pushes the principle further. Most quadratic funding systems still run on outside money, whether that's dollars or crypto, and that's the constraint nobody talks about. The formula only works if someone has already filled a matching pool, which means someone still gets to decide whether your round happens.

With community currencies, the matching pool is built into the system. When a community has an inflation rate that generates new tokens, those tokens can be distributed through quadratic funding rounds automatically. No external funder needed. The community generates its own matching pool through its own economic activity.

Imagine a mutual aid network with 500 members. Every quarter, the community's inflation generates a pool of new tokens. Members propose projects: a free legal clinic, a tool library, a community kitchen renovation. Everyone contributes tokens to the projects they support. The quadratic formula determines how the matching pool gets distributed. Projects with broad support get amplified. Projects backed by one wealthy member don't get to dominate.

What This Changes

The implications are profound. In a world where funding follows quadratic principles, the incentive structure flips. Instead of courting one rich donor, project leaders spend their energy building broad community support. Instead of writing grant applications for foundations, communities fund themselves. Instead of whoever has the deepest pockets winning, whoever has the widest support wins.

This doesn't mean large contributions are unwelcome. A $10,000 donation still helps. It just doesn't buy $10,000 worth of influence over where community resources go. The math ensures that broad participation always beats concentrated wealth.

For community organizers, this solves one of the oldest problems in collective action: how do you fund the things everyone wants without letting the loudest or richest voices decide? The answer is surprisingly simple. You count the people, not the dollars.