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Proportional Algorithms for Democratic Decisions

Project description

New algorithms to address proportionality in public decisions

When a group of people (eligible voters) find themselves in disagreement but need to reach a collective decision, they often resort to making compromises. This notion of group fairness, referred to as proportionality, plays a vital role. Proportional algorithms are widely used in various real-life scenarios. To further advance the understanding and application of proportionality in public decision-making, the ERC-funded PRO-DEMOCRATIC project will focus on developing generic reasoning methods to assess the equitable treatment of voters. These methods will be applicable to specific models related to public decisions. Key objectives include testing theorems that specify the conditions under which our understanding of proportionality can be satisfied, analysing rules, and developing a range of algorithms.

Objective

The project is set in the field of computational social choice.

We will focus on formal models describing scenarios, where a group of individuals, called voters, disagrees on certain matters, yet needs to make a collective decision. The decision must truly represents a compromise. We focus on group fairness understood as proportionality. There are numerous real-life scenarios that involve collective (public) decisions, and where our solutions could be applied. Examples include: elections of representative bodies (such as parliaments, faculty boards, etc.), participatory budgeting elections (where citizens decide how to allocate a part of a municipal budget), or scenarios where certain local communities (say, housing cooperatives) make series of decisions. In addition, proportional algorithms for making collective decisions can be used for selecting nominees for an award, for constructing rankings of movies or books, for selecting validators in consensus protocols, such as the blockchain, for constructing rankings of web-pages in response to user queries, for locating public facilities, or for improving genetic algorithms.

The goal of this project is to develop generic methods of reasoning about equity of treatment of voters, and to design new algorithms that satisfy the most demanding criteria of proportionality. The new methods should be applicable to a number of specific models that concern public decisions. We will (1) prove theorems specifying whether and under which conditions our notions of proportionality are satisfiable, and (2) we will analyse various rules and algorithms with respect to our criteria of proportionality and other important desiderata that are commonly considered in social choice theory. We plan to (3) determine the computational complexity of the problem of finding proportional public decisions, and to (4) develop exact, approximation, fixed-parameter-tractable, and heuristic algorithms for this and related computational problems.

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HORIZON-ERC - HORIZON ERC Grants

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Call for proposal

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(opens in new window) ERC-2022-STG

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Host institution

UNIWERSYTET WARSZAWSKI
Net EU contribution

Net EU financial contribution. The sum of money that the participant receives, deducted by the EU contribution to its linked third party. It considers the distribution of the EU financial contribution between direct beneficiaries of the project and other types of participants, like third-party participants.

€ 1 479 938,00
Address
KRAKOWSKIE PRZEDMIESCIE 26/28
00-927 WARSZAWA
Poland

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Activity type
Higher or Secondary Education Establishments
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Total cost

The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.

€ 1 479 938,00

Beneficiaries (1)

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