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.

Wait — they tied? Not quite. Remember, Project A also received $100 in direct contributions, while Project B received $10,000 directly. But from the matching pool, the projects are valued equally — even though the direct contributions are wildly different. The system recognized that broad grassroots support is just as valuable as one big check.

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 outperform projects backed by a few large donors. Community-driven initiatives — local education programs, open-source tools for nonprofits, environmental monitoring projects — receive outsized matching because they have broad grassroots support. The math literally amplifies the voice of the crowd.

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 same mathematical principle — diminishing returns on concentration — encourages broader, more representative outcomes.

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 takes this principle further. In most quadratic funding systems, you're still dealing with money — dollars, crypto, whatever. The limitation is that you need an external matching pool. Someone has to put up the funds that get distributed through the formula.

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.