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arXiv · 2608.16869

The New Mathematics of Democracy

Bailey Flanigan·Ismar Volic
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Abstract

This article surveys emerging directions in the mathematics of democracy. It uses three case studies --- voting theory, participatory budgeting, and deliberative democracy --- to highlight how contemporary challenges motivate rigorous mathematical research that incorporates real-world data, institutional constraints, and implementation feasibility. Within each case, we highlight active and promising research frontiers, evidence of real-world impact, practical applications, and opportunities for getting involved.

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Bailey Flanigan, Ismar Volic. 2026-08-17. The New Mathematics of Democracy. https://arxiv.org/abs/2608.16869

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