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PreprintCC BY 4.0arXiv

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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Cite

BibTeXRIS
BibTeX
@misc{flanigan2026mathematics,
  title = {{The New Mathematics of Democracy}},
  author = {Bailey Flanigan and Ismar Volic},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2608.16869},
  eprint = {2608.16869},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.16869},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - The New Mathematics of Democracy
AU  - Bailey Flanigan
AU  - Ismar Volic
PY  - 2026
DA  - 2026/09/27
PB  - arXiv
DO  - 10.48550/arxiv.2608.16869
UR  - https://arxiv.org/abs/2608.16869
AB  - 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.
ER  -