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The Method of Equal Shares is a fairer voting rule for participatory budgeting.

It provides proportional representation and allows every voter to decide about an equal part of the budget.

Key Benefits

  • The method is simple to understand and to explain.
  • Can be used in any participatory budgeting process, no matter the scale.
  • Theoretical guarantees that all interest groups will be represented in the outcome.
  • Better reflects voter preferences across project categories.
  • The voting experience is unchanged: the Method of Equal Shares works with all standard ballot types (approvals, knapsack voting, rankings, distributing points, etc.)
  • Increased transparency: voters can see how their vote influenced the election.
  • Straightforward to implement in any software system.

developed and studied by researchers at universities around the world

Logo: University of WarsawLogo: CNRS, FranceLogo: University of GroningenLogo: AGH University of Science and Technology, KrakówLogo: University of TorontoLogo: ETH ZurichLogo: TU Berlin

Method of Equal Shares in cities in 2023

🇵🇱 Świecie
🇨🇭 Aarau "Stadtidee"
🇵🇱 Wieliczka "Green Million"

Many cities are using Participatory Budgeting to give residents a say in how public money is spent. The city government sets aside a part of its budget, allows anyone to propose projects, and then holds an election to decide which projects will be funded.

Voting is a great way to involve many citizens in the budget decision. However, the outcome of the election is not always fair. Because many cities simply choose the projects with the most votes, the budget is often spent on several similar projects that are popular with the same majority group of voters.

There is a voting system that leads to fairer outcomes, where each voter has an equal influence on the election outcome:
The Method of Equal Shares.

— PB Voting Ballot —Available budget: €3 000 000Vote for up to 8 projects
Extension of the Public Library
Cost: €200 000
Bicycle Racks on Main Street
Cost: €70 000
Sports Equipment in the Park
Cost: €50 000
Additional Public Toilets
Cost: €600 000
Free Language Courses
Cost: €100 000
Improve Accesibility of Town Hall
Cost: €800 000
Renovate Fountain in Market Square
Cost: €65 000

The Main Idea

The basic idea of the Method of Equal Shares is that each voter is assigned an equal part of the budget. This part of the budget can only be used to fund projects that the voter has voted for. The method goes through all project proposals, beginning with the projects with the highest number of votes. It selects a project if it can be funded using the budget shares of those who voted for the project. The method divides the cost of a project equally among its supporters.

Voter 1€150Voter 2€150Voter 3€150Voter 4€150Voter 5€150Voter 6€150Voter 7€150Voter 8€150City€1200Project 1€600Project 2€250Project 3€200Project 4€150Step 1: The budget is divided equallyamong the votersStep 2: Projects are funded with the sharesof those who voted for them

From the perspective of a voter, the voting experience is unchanged: they just need to fill out a ballot and select which projects they want to vote for. The Method of Equal Shares is then computed by the city (using one of the open-source implementations of the rule), thus making sure that the budget is spent fairly.

What to Find on This Website

ExplanationA detailed explanation, with examples, of how the Method of Equal Shares works.
BenefitsArguments that the Method of Equal Shares leads to better outcomes than other rules.
ImplementationDetails and advice on how to implement an election using the Method of Equal Shares.

About This Website

This website was constructed and is maintained by Dominik Peters (CNRS, Université Paris Dauphine-PSL) and Piotr Skowron (University of Warsaw). Its purpose is to collect resources about the Method of Equal Shares and to provide an explanation of the method to interested members of the public, to city officials, and to researchers.